Equation

Problem 3601

UNIT 5 LESSON 14 Complex Numbers Complex Numbers Unit Test
The equation $y=x^{4}+3 x^{3}-x^{2}-3 x$ has four solutions and is shown in the graph. Which of the following student statements is true?
Statement \#1: The equation has four non-real solutions because there are four $x$ -intercepts. Statement \#2: The equation has three real solutions because there are three turning points on the graph. Statement \#3: The equation has four real solutions because there are four $x$ -intercepts,

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Problem 3602

A line passes through the point $(8,-3)$ and has a slope of $-\frac{5}{4}$ . Write an equation in slope-intercept form for this line. $\square$

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Problem 3603

Hot dogs are sold in packs of 10 and hot dog buns are sold in packs of 8. Tommy wants to know the least number of packs of hot dogs and buns he needs to buy so that he does not have any left over. \begin{tabular}{|l|c|c|c|c|c|} \hline ()) Packs & 1 & 2 & 3 & 4 & 5 \\ \hline ھ) Hot Dogs & 10 & 20 & 30 & 40 & 50 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline 4) Packs & 1 & 2 & 3 & 4 & 5 \\ \hline ()) Buns & 8 & 16 & 24 & 32 & 40 \\ \hline \end{tabular}
What is the least number of packs of hot dogs and buns Tommy needs to buy so he doesn't have any left over? packs of hot dogs: $\square$ ? packs of buns: $\square$ ? Tommy needs to buy 40 hot dogs and there are 10 hot dogs in each pack. He needs to buy 40 buns and there are 8 buns in each pack.

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Problem 3604

2 (a) Solve $\log \left(x^{2}+5\right)-1=\log (x-2)$ . [3 marks] (b) Solve $\frac{2 x+1}{x+3} \leq-1$ [4 marks] (c) Solve $|x+5|-8>0$ . [4 marks]

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Problem 3605

Solve for $v$ . $3+4 v=-13$
Simplify your answer as much as possible. $v=$

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Problem 3606

Use the percentage of 18-34 year olds who agree with the statement "I would buy this product" to calculate the sales potential for a target population of 30,000 18-34 year olds. \begin{tabular}{|l|c|c|} \hline \multirow{2}{*}{} & \multicolumn{2}{|c|}{ Age (years) } \\ \cline { 2 - 3 } & $\mathbf{1 8 - 3 4}$ & $35-54$ \\ \hline Agree & 20 & 12 \\ \hline Somewhat Agree & 18 & 13 \\ \hline Somewhat Disagree & 7 & 17 \\ \hline Disagree & 5 & 18 \\ \hline \end{tabular} $[?]$ people

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Problem 3607

Write the sentence as an equation. 300 plus the product of 298 and $d$ is the same as 255 more than a
Type a slash ( / ) if you want to use a division sign. $\square$ Submit

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Problem 3608

If $-y^{3}-3-4 x y+4 x=0$ then find $\frac{d y}{d x}$ in terms of $x$ and $y$ .

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Problem 3609

Solve for $u$ . $-3|u|=-30$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

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Problem 3610

Points: 0 of 1 Save
Starting with a 60-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 480 feet of fencing, as shown in the figure to the right. Find the values of $x$ and $w$ that result in the greatest possible area.

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Problem 3611

Francesca brought her series set of The Adventures of Wesley Walter to a secondhand store to sell. She was paid cash for all 6 books in the set. Before she left, Francesca used $\$ 35.75$ of her earnings to purchase a used e-reader. She had $\$ 3.25$ remaining.
Which equation can you use to find the value of each book, $b$ , in the set?

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Problem 3612

With what initial speed must an object be projected vertically upwar surlace of Earth to rise to a maximum height equal to Earth's radius air resistance.) Apply energy conservation.

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Problem 3613

$y=\tan (55)+2 \cos (-20) / 2$

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Problem 3614

A nurse is preparing to administer clindamycin 900 mg by intermittent IV bolus over $\mathbf{4 5 ~ m i n}$ . Available is clindamycin 900 mg in 100 mL dextrose $5 \%$ ( $\mathrm{D}_{5} \mathrm{~W}$ ). The nurse should set the IV pump to deliver how many $\mathrm{mL} / \mathrm{hr}$ ? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ $\mathrm{mL} / \mathrm{hr}$
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Problem 3615

$(x+5)^{2}-16=0$

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Problem 3616

For the following order, calculate how much water needs to be added to the Isocal tube feeding (answer using a numerical value only): $\qquad$ mL Order. Prepare $3 / 4$ strength Isocal, with a total volume of 150 mL

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Problem 3617

For the following order, calculate the drops per minute (answer using a numerical value only; round to the nearest whole number): $\qquad$ $\mathrm{gtt} / \mathrm{min}$ Order: 100 mL LR IV 12 noon-6 pm Supply: IV bag of 250 mL of LR Available: microdrip tubing $60 \mathrm{gtt} / \mathrm{mL}$

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Problem 3618

c) $\frac{\sin x \cos x}{\tan x}=1-\sin ^{2} x$

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Problem 3619

Question Watch Video
Solve for all values of $x$ by factoring. $x^{2}-4 x-59=-4 x+5$
Answer Attempt 1 out of 2

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Problem 3620

Watch Video
Solve for all values of $x$ by factoring. $x^{2}+10 x-40=4 x$

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Problem 3621

Solve the equation on the interval $0 \leq \theta<2 \pi$ . $\cos (2 \theta)+4 \sin ^{2} \theta=2$
What is the solution in the interval $0 \leq \theta<2 \pi$ ? Select the correct choice and fill in any answer boxes in your choice below.

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Problem 3622

ass Directio 4.08 Applications of Quadratic : dent.desmos.com/activitybuilder/instance/673a7d387eaf8f64bb1dcd52/student/673a9462163936e670d13645\#screenld=ca8e5e71-d657-40e3-baeb-e ions of Quadratic Equations Da...
2A: Area of a Triangle
The formula for the area of a triangle is $A=\frac{1}{2} b h$ , where $A$ is area, $b$ is the length of the base, and $h$ is the height.
The height of a triangle is 10 m more than its base. The area of the triangle is $28 \mathrm{~m}^{2}$ . How long is the base?
Draw a diagram that represents this situation.
Based on the Area formula and information given, write an equation that represents this situation. $\square$ Submi
Based on the equation, what numbers or variables or expressions represent each feature of the triangle? Fill in the table and check your answer: \begin{tabular}{|c|c|c|} \hline Feature & Expression & Check \\ \hline Base of triangle $(\mathrm{m})$ & \\ \hline Height of triangle $(\mathrm{m})$ & \\ \hline \begin{tabular}{c} Area of triangle (sq. \\ $\mathrm{m})$ \end{tabular} & \\ \hline \end{tabular}

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Problem 3623

Learn with an example $\checkmark$ or Watch a video (b)
There is a line that includes the point $(-6,-3)$ and has a slope of 4 . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $y-\frac{\square}{\frac{\square}{\square}}=\square(x-\square)$

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Problem 3624

Solve the quadratic by factoring. $3 x^{2}+12 x=7 x+2$

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Problem 3625

Graph the following features: - Y -intercept $=-6$ - Slope $=-\frac{1}{2}$ Answer Attempt 1 out of 20

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Problem 3626

8.6 Solve Radical Equations: Problem 15 (1 point)
Solve the following radical equation. Enter your answers as integers or fractions, or write "no solution" if appropriate. The solution of the equation $\sqrt{x}+3=\sqrt{x+4}$ is $x=$ $\square$
Preview My Answers Submit Answers
You have attempted this problem 0 times. You have unlimited attempts remaining.

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Problem 3627

Consider the following radical equation. $-2 \sqrt{-9 x-2}=5$
Solve for the only possible solution by isolating the square roots and then squaring on both sides: $x=$ None Does your solution satisfy the equation? No
Note: You can earn partial credit on this problem.

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Problem 3628

Question Watch $v$
Solve the quadratic by factoring. $5 x^{2}-20 x+14=2 x+6$

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Problem 3629

2. Ayana builds and sells bird feeders. It costs Ayana $\$ 6$ for supplies to build each feeder. She sells each feeder at a $400 \%$ markup. How much does Ayana charge for one of her bird feeders?

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Problem 3630

a. Migher Order Thinking Corla buys two packages of pons. She buys 49 pons in all. Which color pens does Carla buy? Show how you found the answer. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Aen Derley } \\ \hline Pen Cotor & Number of Pens \\ \hline Blue & 25 \\ \hline Black & 12 \\ \hline Red & 24 \\ \hline Green & 33 \\ \hline \end{tabular}

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Problem 3631

Monday Section
1. A pink paint mixture uses 4 cups of white point for every 3 munas for the same shade of pink. Complete the table \begin{tabular}{|c|c|} \hline White Paint (Cups) & Red Point (Cupas \\ \hline 1.74 & 3 \\ \hline $\sqrt{T}-1.33$ & 1 \\ \hline 12 & \\ \hline & 4 \\ \hline 5 & \\ \hline \end{tabular}

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Problem 3632

connection The manager of a grocery store wants to encourage shoppers to buy locally-grown produce. He decides to reduce the markup on fruits and vegetables that are grown at local farms from $90 \%$ to $75 \%$ . If he pays $\$ 1.80$ for a pint of locally-grown strawberries, what will the cost be for a customer?

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Problem 3633

What are the solutions to $2 x^{2}+8 x+4=0$ ? $x=-6 \pm \sqrt{2}$ $x=-6 \pm 6 \sqrt{2}$ $x=-2 \pm \sqrt{2}$ $x=-2 \pm \frac{\sqrt{30}}{3}$

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Problem 3634

7. STEM Connection The manager of a grocery store wants to encourage shoppers to buy locally-grown produce. He decides to reduce the markup on fruits and vegetables that are grown at local farms from $90 \%$ to $75 \%$ . If he pays $\$ 1.80$ for a pint of locally-grown strawberries, what will the cost be for a customer?

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Problem 3635

104. A television station has 20 min of advertising each hour. How many 30 -second ( $\frac{1}{2}-\mathrm{min}$ ) commercials can be run in a. 1 hr b. 1 day

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Problem 3636

24. The price of a television set was $\$ 1000$ . The television set is $75 \%$ off. What is the amount of the discount?

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Problem 3637

An NHANES report gives data for 641 men aged $20-29$ years. The BMI of these 641 men was $\bar{x}=25.6$ . On the basis of this sample, we want to estimate the BMI $\mu$ in the population of all 23.2 million American men in this age group. Treat these data as an SRS from a Normally distributed population with standard deviation $\sigma=7.2$ .
Source adapted from: Adapted from Fryar C. D., et al., Anthropometric reference data for children and adults: United States, 2011-2014. National Center for Health Statistics. Vital Health Statistics 3(2016), at https///www.codc.gov/nchs/data/ series/sr_03/sr03_039.pdf.
Find the margins of error for $99 \%$ confidence based on SRSs of 365 young men and 1581 young men. Give your answers to four decimal places. margin of error when $n=365$ : $\square$ margin of error when $n=1581$ : $\square$

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Problem 3638

2. The Spanish club held a car wash to raise money. The equation $y=5 x$ represents the amount of money $y$ club members made for washing $x$ cars. Identify the constant of proportionality. Then explain what it represents in this situation. (Example ?)

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Problem 3639

Fill in the info below, and graph on your own paper. Then graph the parabola on the axes below by first clicking on the vertex, and then on another point close to the vertex that fits on the axes. You may not be able to click on an x or y intercept. $y=-x^{2}-10 x-24$
1. State whether the parabola opens up or down?
UpO Down
2. State the vertex as an ordered pair: $\square$
3. State the $y$ -intercept as an ordered pair: $\square$
4. Write the Equation of the Axis of Symmetry: $\square$
5. Click on the vertex and then another point of the parabola that fits on the axes below. Clear All Draw:

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Problem 3640

Kelaunta arithon Espant
The length of the longer leg of a right triangle is 13 cm more than three times the length of the shorter leg. The length of the hypotenuse is 14 cm more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: Length of the longer leg: $\square \mathrm{cm}$ Length of the hypotenuse: $\square \mathrm{cm}$

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Problem 3641

Stacked
An NHANES report gives data for 641 men aged $20-29$ years. The BMI of these 641 men was $\bar{x}=25.6$ . On the basis of this sample, we want to estimate the BMI $\mu$ in the population of all 23.2 million American men in this age group. Treat these data as an SRS from a Normally distributed population with standard deviation $\sigma=7.2$ .
Source adapted from: Adapted from Fryar C. D., et al, Anthropometric reference data for children and adults: United States, 2011-2014. National Center for Health
Find the margins of error for $99 \%$ confidence based on SRSs of 365 young men and 1581 young men. Give your answers to four decimal places. margin of error when $n=365$ : 0.9715 margin of error when $\boldsymbol{n}=1581$ : 0.3606

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Problem 3642

An NHANES report gives data for 936 men aged $20-29$ years. The BMI of these 936 men was $\bar{x}=27.2$ . On the basis of this sample, we want to estimate the BMI $\mu$ in the population of all 23.2 million American men in this age group. To match the "simple conditions," we will treat the NHANES sample as an SRS from a Normal population with standard deviation $\sigma=11.6$ .
Source: Adapted from Fryar C. D, et al, Anthropometric reference data for children and adults: United States, 2011-2014. National Center for Healih Suatistics. Viad Healoh Shatiatics 3(2016), at herpsi/www. ode gow/hachs/data/ series/sr_03/sr03_039.pdf.
Give three confidence intervals for the mean BMI $\mu$ in this population, using $90 \%, 95 \%$ , and $99 \%$ confidence. Enter each confidence interval in the form of (lower bound, upper bound). Give the bounds to two decimal places.
90\% confidence interval: $\square$
95\% confidence interval: $\square$
99\% confidence interval: $\square$

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Problem 3643

Consider heating solid water (ice) until it becomes-liquid and then gas (steam) (Figure 1). Alternatively, consider the reverse process, cooling steam until it becomes water and, finally, ice ( Figure 2). In each case, two types of transitions occur, those involving a temperature change with no change in phase (shown by the diagonal line segments on the graphs) and those at constant temperature with a change in phase (shown by horizontal line segments on the graphs).
Figure 1 of 2
Equations The heat energy associated with a change in temperature that does not involve a change in phase is given by $q=m s \Delta T$ where $q$ is heat in joules, $m$ is mass in grams, $s$ is specific heat in joules per gram-degree Celsius, $\mathrm{J} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right)$ , and $\Delta T$ is the temperature change in degrees Celsius. The heat energy associated with a change in phase at constant temperature is given by $q=m \Delta H$ where $q$ is heat in joules, $m$ is mass in grams, and $\Delta H$ is the enthalpy in joules per gram.
Physical constants The constants for $\mathrm{H}_{2} \mathrm{O}$ are shown here: - Specific heat of ice: $s_{\text {ice }}=2.09 \mathrm{~J} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right)$ - Specific heat of liquid water: $s_{\text {water }}=4.18 \mathrm{~J} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right)$ - Enthalpy of fusion $\left(\mathrm{H}_{2} \mathrm{O}(\mathrm{s}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{l})\right): \Delta H_{\text {fus }}=334 \mathrm{~J} / \mathrm{g}$ - Enthalpy of vaporization $\left(\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{g})\right): \Delta H_{\text {vap }}=2250 \mathrm{~J} / \mathrm{g}$
Part A
How much heat energy, in kilojoules, is required to convert 46.0 g of ice at $-18.0^{\circ} \mathrm{C}$ to water at $25.0^{\circ} \mathrm{C}$ ? Express your answer to three significant figures and include the appropriate units. View Available Hint(s)

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Problem 3644

An NHANES report gives data for 936 men aged $20-29$ years. The BMI of these 936 mes was $\bar{x}=272.00$ the bevis of ths sample, we want to estimate the BMI $\mu$ in the population of all 23.2 million American men in this age group. To math the "ifmple conditions," we will treat the NHANES sample as an SRS from a Normal population with itandard deviation $\sigma=116$ .
What are the margins of errors for $90 \%, 95 \%$ , and $99 \%$ confidence? Give your answers to four decimal places. margin of error for a $90 \%$ confidence interval: 0.6196 margin of error for a $95 \%$ confidence interval: 0.7396 margin of error for a $99 \%$ confidence interval: 09626

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Problem 3645

116. How many sixths are in $\frac{4}{3}$ ?

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Problem 3646

Write a linear equation to represent the relationship between $x$ and $y$ .

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Problem 3647

The sum of the coefficients in the expansion of the expression $(a+b)^{n}$ is 64 . Use Pascal's Triangle to find the value of $n$ . $\mathrm{n}=$ $\square$ (Type a whole number.) Video Textbook Get more help - Clear

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Problem 3648

2. A 304 g sample of compound B contains 207.9 g of chromium and 96.1 g of oxygen. Determine the percentage composition.

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Problem 3649

Contribution margin Sally Company sells 21,000 units at $\$ 15$ per unit. Variable costs are $\$ 9.15$ per unit, and fixed costs are $\$ 41,800$ . Determine (a) the contribution margin ratio, (b) the unit contribution margin, and (c) operating income. a. Contribution margin ratio (Enter as a whole number.) b. Unit contribution margin (Round to the nearest cent.) $\square$ \% \\square $per unit c. Operating income$ \square$

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Problem 3650

An NHANES report gives data for 936 men aged 20-29 years. The BMI of these 936 men was $\bar{x}=27.2$ . On the basis of this sample, we want to estimate the BMI $\mu$ in the population of all 23.2 million American men in this age group. To match the "simple conditions," we will treat the NHANES sample as an SRS from a Normal population with standard deviation $\sigma=11.6$ . Healdh Statistics 3(2016), at hutps/lwww.cdegov/nchs/data/ series/sr_03/sr03_039.pdf.
What are the margins of errors for $90 \%, 95 \%$ , and $99 \%$ confidence? Give your answers to four decimal places.

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Problem 3651

Loop 1 Name $\qquad$ Tuesday
1. What is the difference between the highest and lowest temperature shown on the thermometer? A. 28 degrees B. 23 degrees C. 17 degrees D. Cannot be determined
2. Solve the following equation for $x$ . $0.3 x-5=1$

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Problem 3652

Lesson Check Do you know HOW?
1. Is $(2,4)$ a solution of the equation $y=x-2$ ?
2. Is $(-3,-9)$ a solution of the equation $y=3 x$ ?
3. Drinks at the fair cost $\$ 2.50$ . Use a table, an equation, and a graph to represent the relationship between the number of drinks bought and the cost.
4. Exercise On a treadmill, you burn 11 Cal in 1 min , 22 Cal in $2 \mathrm{~min}, 33 \mathrm{Cal}$ in 3 min , and so on. How many Calories do you burn in 10 min ?
Do you UNDERSTAND? MATHEMATICAL PRACTICES
5. Vocabulary Describe the difference between inductive reasoning and deductive reasoning. (C) 6
6. Compare and Contrast How is writing an equation to represent a situation involving two variables similar to writing an equation to represent a situation involving only one variable? How are they different? (C) 7. Reasoning Which of $(3,5),(4,6),(5,7)$ , and $(6,8)$ are solutions of $y=x+2$ ? What is the pattern in the solutions of $y=x+2$ ?
Practice and Problem-Solving Exercises MATHEMATICAL PRACTICES (A) Practice
Tell whether the given equation has the ordered pair as a solution. ( See Problem
8. $y=x+6 ;(0,6)$
9. $y=1-x ;(2,1)$
10. $y=-x+3 ;(4,1)$
11. $y=6 x ;(3,16)$
12. $-x=y ;(-3.1,3.1)$
13. $y=-4 x ;(-2,8)$
14. $y=x+\frac{2}{3} ;\left(1, \frac{1}{3}\right)$
15. $y=x-\frac{3}{4} ;\left(2,1 \frac{1}{4}\right)$
16. $\frac{x}{5}=y ;(-10,-2)$

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Problem 3653

I CAN ADDLY RATIOS TO SOIVE REAL-WORLD
11. A florist uses 160 roses to make 5 identical flower arrangements. How many roses would the florist use to create 8 identical arrangements? Set up a proportion to solve.

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Problem 3654

13. Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
56 miles \begin{tabular}{|l|l|} \hline 36 & 29 miles \\ \hline \end{tabular}

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Problem 3655

Practice and Problem-Solving Exercises MATHEMATICAL PRACTICES
Practice Tell whether the given equation has the ordered pair as a solution. See Problem 1.
8. $y=x+6 ;(0,6)$
9. $y=1-x ;(2,1)$
10. $y=-x+3 ;(4,1)$
11. $y=6 x ;(3,16)$
12. $-x=y ;(-3.1,3.1)$
13. $y=-4 x ;(-2,8)$
14. $y=x+\frac{2}{3} ;\left(1, \frac{1}{3}\right)$
15. $y=x-\frac{3}{4} ;\left(2,1 \frac{1}{4}\right)$
16. $\frac{x}{5}=y ;(-10,-2)$
Use a table, an equation, and a graph to represent each relationship.
17. Ty is 3 years younger than Bea.
18. The number of checkers is 24 times the number of checkerboards. (s) See Problem 2.
19. The number of triangles is $\frac{1}{3}$ the number of sides.
20. Gavin makes $\$ 8.50$ for each lawn he mows.
Use the table to draw a graph and answer the question. - See Problem 3.
21. The table shows the height in inches of stacks
22. The table shows the length in centimeters of of tires. Extend the pattern. What is the a scarf you are knitting. Suppose the pattern height of a stack of 7 tires?
Stacks of Tires \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number \\ of Tires, $x$ \end{tabular} & \begin{tabular}{c} Height of \\ Stack, $y$ \end{tabular} \\ \hline 1 & 8 \\ \hline 2 & 16 \\ \hline 3 & 24 \\ \hline 4 & 32 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number \\ of Days, $x$ \end{tabular} & \begin{tabular}{c} Length of \\ Scarf, $y$ \end{tabular} \\ \hline 1 & 12.5 \\ \hline 2 & 14.5 \\ \hline 3 & 16.5 \\ \hline 4 & 18.5 \\ \hline \end{tabular}

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Problem 3656

HW 14 (Law of Cosines) Score: $2 / 45$ Answered: 2/10
Question 4
The three sides of a triangle measure 9 feet, 8 feet, and 7 feet, respectively. Determine the three angles of the triangle. (Round all angle measures to the nearest tenth of a degree.)
The angle opposite the 9 -foot side measures approximately $\square$ degrees.
The angle opposite the 8 -foot side measures approximately $\square$ degrees.
The angle opposite the 7 -foot side measures approximately $\square$ degrees. Submit Question

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Problem 3657

This window shows your responses
During 2023, Harmony Co. sold \519,000 of merchandise at marked retail prices. At the end of 2023, the following information was available from its records: \begin{tabular}{|l|r|r|} \hline & At Cost & At Retail \\ \hline Beginning inventory & \ $126,600$ & $\$ 255,800$ \\ Net purchases & 230,240 & 392,600 \\ \hline \end{tabular}
Use the retail method to estimate Harmony's 2023 ending inventory at cost. (Round your intermediate and final answers to 2 decimal places.) \begin{tabular}{|l|l|l|} \hline Ending inventory & $\$$ & $71,178.28 \boldsymbol{}$ \\ \hline \end{tabular}

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Problem 3658

14. In the high school band there are 2 percussionists on the sideline to every 13 marching instruments. If the high school band has 150 total members, then how many percussionists are on the sideline? Find the scale factor and use it to solve.

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Problem 3659

4 Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Which equation can be used to determine the number of DVDs in Daniel's collection?
A $3 x-x=67$ (B) $x+x=67$ (C) $3 x+x=67$ (D) $3 x=67$

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Problem 3660

A family in Guatemala makes a kite for the Festival of the Giant Kites. They glued 768 pieces of red paper to 24 sections of the kite. Each section gets the same number of pieces. How many pieces of red paper are in each section? Estimate and then

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Problem 3661

I CAN ADDLY RATES TO SOIVE REAL-WORLD
20. Yvonne paid $\$ 18.72$ for 8 gallons of gas. She then passed by another gas station advertising $\$ 2.29$ per gallon. How much money would she have saved if she had waited and purchased gas at the second location?

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Problem 3662

2. Lester listens to 8 songs every time he does his exercise routine. He did his exercise routine 3 times this week. How h many songs did Lester listen to while exercising this week? 7 $\begin{array}{l} 8 \times 3=24 \text { Fe } \\ \text { to } 24 \text { Sunys } \end{array}$

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Problem 3663

Last year, Ms. Giancarlo flew for business 13 times. Each time was 488 miles. Mr. Garcia flew twice for business, once for 1,495 miles and the other for 4,825 miles. Who traveled more miles for business? How many more?

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Problem 3664

1998 AP Calculus AB Scoring Guidelines
5. Consider the curve defined by $2 y^{3}+6 x^{2} y-12 x^{2}+6 y=1$ . (a) Show that $\frac{d y}{d x}=\frac{4 x-2 x y}{x^{2}+y^{2}+1}$ . (b) Write an equation of each horizontal tangent line to the curve. (c) The line through the origin with slope -1 is tangent to the curve at point $P$ . Find the $x-$ and $y$ -coordinates of point $P$ .

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Problem 3665

The diameter of the Agrippa crater, located on the moon, is 46 kilometers. Earth's diameter is 277 times as long as the diameter of the crater. What is Earth's diameter?

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Problem 3666

Solve the equation for $n$ without using your calculator. Then use it to find the answer to the expression. $\begin{array}{l} 10^{n}=10000 \\ 5 n+5= \end{array}$ $\square$

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Problem 3667

If $e^{4 x}=21$ , then $x=$

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Problem 3668

What is the total cost of a 60-month vehicle lease with the terms described in the table? \begin{tabular}{|l|r|} \hline & \multicolumn{1}{|c|}{ Cost } \\ \hline Monthly Fee & $\$ 350$ \\ \hline Deposit & $\$ 2,500$ \\ \hline Registration and Title & $\$ 300$ \\ \hline Disposition Fee & $\$ 350$ \\ \hline Acquisition Fee & $\$ 500$ \\ \hline \end{tabular} \$[?]

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Problem 3669

Felix is purchasing a brownstone townhouse for $\$ 2,900,000$ . To obtain the mortgage, Felix is required to make a $17 \%$ down payment. Felix obtains a 25 -year mortgage with an interest rate of $5.5 \%$ Click the icon to view the table of monthly payments a) Determine the amount of the required down payment b) Determine the amount of the mortgage c) Determine the monthly payment for principal and interest. a) Determine the amount of the required down payment \\square$ Monthly Principal and Interest Payment per \$1000 of Mortgage \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{6}{|c|}{Number of Years} \\ \hline Rate \% & 10 & 15 & 20 & 25 & 30 \\ \hline 30 & \$9.65607 & \$6 90582 & \$5 54598 & \$4.74211 & \$421604 ㅁ \\ \hline 3.5 & 988859 & 7.14883 & 579960 & 500624 & 449045 \\ \hline 4.0 & 10.12451 & 739688 & 605980 & 527837 & 477415 \\ \hline 4.5 & 10.36384 & 764993 & 632649 & 555832 & 5.06685 \\ \hline 50 & 10.60655 & 7.90794 & 659956 & 584590 & 536822 \\ \hline 5.5 & 10.85263 & 8.17083 & 6.87887 & 614087 & 567789 \\ \hline 6.0 & 11.10205 & 843857 & 7.16431 & 644301 & 599551 \\ \hline 6.5 & 11.35480 & 8.71107 & 7.45573 & 675207 & 632068 \\ \hline 7.0 & 11.61085 & 8.98828 & 775299 & 706779 & 665302 \\ \hline 7.5 & 11.87018 & 9.27012 & 8.05593 & 738991 & 699215 \\ \hline 8.0 & 12.13276 & 955652 & 8.36440 & 7.71816 & 7.33765 \\ \hline 8.5 & 12.39857 & 984740 & 867823 & 8.05227 & 768913 \\ \hline 9.0 & 1266758 & 1014267 & 899726 & 8.39196 & 804623 \\ \hline 9.5 & 12.93976 & 10.44225 & 932131 & 873697 & 8.40854 \\ \hline 10.0 & 13.21507 & 1074605 & 9.65022 & 908701 & . 877572 \\ \hline 10.5 & 13.49350 & 11.05399 & 9.98380 & 944182 & 9.14739 \\ \hline 110 & 1377500 & 11.36597 & 10.32188 & 9.80113 & 9.52323 \\ \hline \end{tabular} Clear all Check ans

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Problem 3670

tomework Name
Trace and t--t too tor th 4. 2.
Regroin Modeiandens as ondes: $25-8=?$
Regroup. Then subtract. 3.
3. \begin{tabular}{|c|} \hline Tens \\ \hline \end{tabular}
58 fifty-eight CUse with Lesson $5-5$ , pages 203 -204 in the Student Book. C Then go to Lesson $5-6$ , pages $205-206$ in the Student Book.

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Problem 3671

Train tickets cost \ $48 for adults and$ \ $32$ for children. There are 27 adults and 55 children on the train. How much did the passengers pay to ride the train?

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Problem 3672

Urban Glam Cosmetics made sales on the following dates at a selling price of $\$ 36$ per unit: Book Pint ferences \begin{tabular}{|c|c|} \hline Jan. 10 & 74 units \\ \hline Mar. 15 & 220 units \\ \hline Oct. 5 & 490 units \\ \hline Totals & 784 units \\ \hline \end{tabular}
Required: The business uses a perpetual inventory system.
1. Determine the costs that should be assigned to the ending inventory and to goods sold under the following methods. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) Ic Prev 1 of 6 Next

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Problem 3673

Question 1 1 pts
A standard painkiller is known to bring relief in 3.5 minutes on average ( $\mu$ ). A new painkiller is hypothesized to bring faster relief to patients.
A sample of 40 patients are given the new painkillers. The sample yields a mean of 2.8 minutes and a standard deviation of 1.1 minutes.
Which of the following pairs of hypotheses are appropriate for this study? $H_{0}: \mu=2.8$ vs. $H_{a}: \mu \neq 2.8$ $H_{0}: \mu=2.8$ vs. $H_{a}: \mu<2.8$ $H_{0}: \mu=3.5$ vs. $H_{a}: \mu<3.5$ $H_{0}: \mu=3.5$ vs. $H_{a}: \mu=2.8$ $H_{0}: \mu=3.5$ vs. $H_{a}: \mu>3.5$

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Problem 3674

2. Maria makes 21 thank you cards. She mails 13 of the cards. How many cards does she have left? Equation:

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Problem 3675

$476 \div 28=$

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Problem 3676

c) Cette semaine, Maude s'est entraînée 4 fois plus longtemps que son frère. Si son frère s'est entraîné pendant $(x-10)$ heures, pendant combien de temps Maude s'est-elle entraînée? $\qquad$

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Problem 3677

Solve for $q$ . $8 q-8=72$ $q=$

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Problem 3678

Solve for $m$ . $\begin{array}{l} 8 m+6=54 \\ m= \end{array}$

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Problem 3679

3. Model Latisha eats 12 grapes with lunch and then eats some more with dinner. She eats 26 grapes in all. How many grapes does she eat with dinner? Equalion: grapes

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Problem 3680

How many $\frac{4}{5}$ s are in 4? (f)
There are $\square$ groups of $\frac{4}{5}$ in 4.

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Problem 3681

$\triangle A B C \cong \triangle I J K$ . What is $m \angle C ?$ $\square$

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Problem 3682

4. Model Jack read 24 pages of abook and John read 19 pages of a book. How many more pages did Jack read than John?
Equation:

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Problem 3683

Integrating: $-\int_{[A]_{0}}^{[A]_{1}} \frac{d[A]}{[A]^{2}}=2 k \int_{0}^{t} d t$

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Problem 3684

QUESTION 7 If there are 15 flowers in 3 pots, how many flowers are in I pot? A. 5 C. 15 B. 3 D. 4 A B C D

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Problem 3685

Determine whether the equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. $\log (x+3)-\log (7 x)=\frac{\log (x+3)}{\log (7 x)}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation is false. The correct equation is $\log (x+3)-\log (7 x)=$ $\square$ . B. The equation is true.

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Problem 3686

Score: 1/5 Penalty: 0.5 off
Question (0) Watch Video Show Exam
Find the value of $x$ in the equation below. $x+15.4=17.7$
Answer Attempt 1 out of 2 $x=\square$ Submit Answer
You have up to 9 questions left to raise your score.

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Problem 3687

FRUI PUNGH SODA name Jerengioh * Guided Practice
Do You Understand? Do You Know How?
1. Explain why $8 \times \frac{3}{4}$ is the same as
3. Find $3 \times \frac{2}{3}$ using repeated add adding $\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}$
2. Find $2 \times \frac{3}{5}$ . Shade the model to help solve. $\square$ $\square$
4. Find $6 \times \times \frac{3}{4}$ using the Associa Property. $\frac{6}{1} \times \frac{3}{4}$
Independent Practice ${ }^{3 / 3}$ Leveled Practice In 5-7, complete each equation to find the product.
5. $6 \times \frac{3}{4}=\frac{\square}{\square}+\frac{\square}{\square}+\frac{\square}{\square}+\frac{\square}{\square}+\frac{\square}{\square}+\frac{\square}{\square}=\frac{\square \times \square}{\square}=\frac{18}{4}=$ $\square$ $\text { के } 16 \times \frac{3}{8}=16 \times \square \times \frac{1}{8}=\frac{\square \times 1}{8}=\frac{\square}{\square}=$ $\qquad$ $\frac{1}{5} .500 \times \frac{2}{5}=\square \times 2 \times \frac{\square}{5}=\frac{\square \times 1}{5}=\frac{1,000}{\square}=$ $\qquad$
In 8-15, find each product. Use models to help, if necessary.
8. $35 \times \frac{2}{5}$
9. $7 \times \frac{5}{12}$
10. $9 \times \frac{2}{3}$
12. $64 \times \frac{3}{8}$
13. $900 \times \frac{2}{3}$
14. $84 \times \frac{1}{4}$

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Problem 3688

One Step Equations with (Positive) Decimals Unique ID: 0270 Score: 2/5 Penalty: 0.5 off
Question Watch Video
Find the value of $x$ in the equation below. $15.9=x-1.1$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

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Problem 3689

Score: $3 / 5$ Penalty: 0.5 off
Question Watch Video Show
Find the value of $x$ in the equation below. $\frac{x}{3}=8$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

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Problem 3690

13. A street light is mounted at the top of a 15 -ft-tall pole. A man 6 ft tall walks away from the pole with a speed of $5 \mathrm{ft} / \mathrm{s}$ along a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole?

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Problem 3691

Write the equation of the line in slope-intercept form. $\begin{array}{l} y=-\frac{4}{5} x+4 \\ y=-x+4 \\ y=4 x+4 \end{array}$ $y=\frac{4}{5} x+4$

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Problem 3692

Question Watch Video
Solve for n . $3+n=-10$
Answer Attempt 2 out of 2 $n=15.7$ Submit Answer You have up to 10 questio. Files

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Problem 3693

3. The difference of the digits of a two-digit number is 5 . When the digits are reversed, the number decreases by 45 . Find the original number.
161, ว2, 83,94

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Problem 3694

```latex \text{Given the expressions: } (7y-20), (5x-38), (3x-4), \text{ and the variable } m. \text{ If line } l \text{ is parallel to line } m, \text{ solve for } x \text{ and } y.

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Problem 3695

Unique ID: 0274 Score: 1/5 Penalty: 0.5 off
Question (D) Watch Video Show Examples
Solve for s . $-4=s-1$
Answer Attempt 1 out of 2 $s=$ $\square$ Submit Answer
You have up to 9 questions left to raise vour score. Nov 18 7.48

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Problem 3696

One Step Equations (Add/Subtract) Unique ID: 0275 Score: 2/5 Penalty: 0.5 off
Question Watch Video Show Examples
Solve for a. $-8=4+a$
Answer Attempt 1 out of 2 $a=$ $\square$ Submit Answer You have up to 8 questions left to raise vour score. Nor 18 7.51

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Problem 3697

Score: 4/5 Penalty: 0.5 off
Question Watch Video Show Example
Solve for t . $3=-4+t$
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

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Problem 3698

The formula $A=P\left(1+\frac{r}{n}\right)^{n t}$ describes the accumulated value, $A$ , of a sum of money, $P$ , the principal, after $t$ years at annual percentage rate $r$ (in decimal form) compounded $n$ times a year. Complete the table for a savings account subject to $n$ compounding periods per year. \begin{tabular}{|c|c|c|c|c|} \hline \begin{tabular}{c} Amount \\ Invested \end{tabular} & \begin{tabular}{c} Number of \\ Compounding Periods \end{tabular} & \begin{tabular}{c} Annual Interest \\ Rate \end{tabular} & \begin{tabular}{c} Accumulated \\ Amount \end{tabular} & \begin{tabular}{c} Time t \\ in Years \end{tabular} \\ \hline $\$ 15,000$ & 4 & $5.75 \%$ & $\$ 23,000$ & $?$ \\ \hline \end{tabular} $\mathrm{t} \approx$ $\square$ years (Do not round until the final answer. Then round to one decimal place as needed.)

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Problem 3699

View
During 2023, Harmony. Co. sold $\$ 519,000$ of merchandise at marked retail prices. At the end of 2023 , the following information was available from its records: \begin{tabular}{|rrr|} & At Cost & At Retail \\ Beginning inventory & $\$ 126,600$ & $\$ 255,800$ \\ Net purchases & 230,240 & 392,600 \\ \hline \end{tabular}
Use the retail method to estimate Harmony's 2023 ending inventory at cost. (Round your intermediate and final answers to 2 decimal places.) \begin{tabular}{|l|l|} \hline Ending inventory & $\$$ \\ \hline \end{tabular} Prev 6 of 6 Next

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Problem 3700

7 A kid pushes a block across the room with a force of 30 N . Friction resists the motion with a force of 9 N . What is the net power output at the moment the block is travelling $4 \mathrm{~m} / \mathrm{s}$ ? $\mathrm{P}=$

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1 ...34 35 36 37 38 39 40 ...188

Equation

Problem 3601

Problem 3602

A line passes through the point (8,−3)(8,-3)(8,−3) and has a slope of −54-\frac{5}{4}−45​. Write an equation in slope-intercept form for this line. □\square□

Problem 3603

Problem 3604

2 (a) Solve log⁡(x2+5)−1=log⁡(x−2)\log \left(x^{2}+5\right)-1=\log (x-2)log(x2+5)−1=log(x−2). [3 marks] (b) Solve 2x+1x+3≤−1\frac{2 x+1}{x+3} \leq-1x+32x+1​≤−1 [4 marks] (c) Solve ∣x+5∣−8>0|x+5|-8>0∣x+5∣−8>0. [4 marks]

Problem 3605

Solve for vvv. 3+4v=−133+4 v=-133+4v=−13Simplify your answer as much as possible. v=v=v=

Problem 3606

Problem 3607

Write the sentence as an equation. 300 plus the product of 298 and ddd is the same as 255 more than aType a slash ( / ) if you want to use a division sign. □\square□ Submit

Problem 3608

If −y3−3−4xy+4x=0-y^{3}-3-4 x y+4 x=0−y3−3−4xy+4x=0 then find dydx\frac{d y}{d x}dxdy​ in terms of xxx and yyy.

Problem 3609

Solve for uuu. −3∣u∣=−30-3|u|=-30−3∣u∣=−30If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Problem 3610

Points: 0 of 1 SaveStarting with a 60-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 480 feet of fencing, as shown in the figure to the right. Find the values of xxx and www that result in the greatest possible area.

Problem 3611

Problem 3612

With what initial speed must an object be projected vertically upwar surlace of Earth to rise to a maximum height equal to Earth's radius air resistance.) Apply energy conservation.

Problem 3613

y=tan⁡(55)+2cos⁡(−20)/2y=\tan (55)+2 \cos (-20) / 2y=tan(55)+2cos(−20)/2

Problem 3614

Problem 3615

(x+5)2−16=0(x+5)^{2}-16=0(x+5)2−16=0

Problem 3616

For the following order, calculate how much water needs to be added to the Isocal tube feeding (answer using a numerical value only): \qquad mL Order. Prepare 3/43 / 43/4 strength Isocal, with a total volume of 150 mL

Problem 3617

Problem 3618

c) sin⁡xcos⁡xtan⁡x=1−sin⁡2x\frac{\sin x \cos x}{\tan x}=1-\sin ^{2} xtanxsinxcosx​=1−sin2x

Problem 3619

Question Watch VideoSolve for all values of xxx by factoring. x2−4x−59=−4x+5x^{2}-4 x-59=-4 x+5x2−4x−59=−4x+5Answer Attempt 1 out of 2

Problem 3620

Watch VideoSolve for all values of xxx by factoring. x2+10x−40=4xx^{2}+10 x-40=4 xx2+10x−40=4x

Problem 3621

Problem 3622

Problem 3623

Problem 3624

Solve the quadratic by factoring. 3x2+12x=7x+23 x^{2}+12 x=7 x+23x2+12x=7x+2

Problem 3625

Graph the following features: - Y -intercept =−6=-6=−6 - Slope =−12=-\frac{1}{2}=−21​ Answer Attempt 1 out of 20

Problem 3626

Problem 3627

Consider the following radical equation. −2−9x−2=5-2 \sqrt{-9 x-2}=5−2−9x−2​=5Solve for the only possible solution by isolating the square roots and then squaring on both sides: x=x=x= None Does your solution satisfy the equation? NoNote: You can earn partial credit on this problem.

Problem 3628

Question Watch vvvSolve the quadratic by factoring. 5x2−20x+14=2x+65 x^{2}-20 x+14=2 x+65x2−20x+14=2x+6

Problem 3629

2. Ayana builds and sells bird feeders. It costs Ayana $6\$ 6$6 for supplies to build each feeder. She sells each feeder at a 400%400 \%400% markup. How much does Ayana charge for one of her bird feeders?

Problem 3630

Problem 3631

Problem 3632

Problem 3633

What are the solutions to 2x2+8x+4=02 x^{2}+8 x+4=02x2+8x+4=0 ? x=−6±2x=-6 \pm \sqrt{2}x=−6±2​ x=−6±62x=-6 \pm 6 \sqrt{2}x=−6±62​ x=−2±2x=-2 \pm \sqrt{2}x=−2±2​ x=−2±303x=-2 \pm \frac{\sqrt{30}}{3}x=−2±330​​

Problem 3634

Problem 3635

104. A television station has 20 min of advertising each hour. How many 30 -second ( 12−min\frac{1}{2}-\mathrm{min}21​−min ) commercials can be run in a. 1 hr b. 1 day

Problem 3636

24. The price of a television set was $1000\$ 1000$1000. The television set is 75%75 \%75% off. What is the amount of the discount?

Problem 3637

Problem 3638

2. The Spanish club held a car wash to raise money. The equation y=5xy=5 xy=5x represents the amount of money yyy club members made for washing xxx cars. Identify the constant of proportionality. Then explain what it represents in this situation. (Example ?)

Problem 3639

Problem 3640

Problem 3641

Problem 3642

Problem 3643

Problem 3644

Problem 3645

116. How many sixths are in 43\frac{4}{3}34​ ?

Problem 3646

Write a linear equation to represent the relationship between xxx and yyy.

Problem 3647

The sum of the coefficients in the expansion of the expression (a+b)n(a+b)^{n}(a+b)n is 64 . Use Pascal's Triangle to find the value of nnn. n=\mathrm{n}=n= □\square□ (Type a whole number.) Video Textbook Get more help - Clear

Problem 3648

2. A 304 g sample of compound B contains 207.9 g of chromium and 96.1 g of oxygen. Determine the percentage composition.

Problem 3649

Problem 3650

Problem 3651

Loop 1 Name \qquad Tuesday1. What is the difference between the highest and lowest temperature shown on the thermometer? A. 28 degrees B. 23 degrees C. 17 degrees D. Cannot be determined2. Solve the following equation for xxx. 0.3x−5=10.3 x-5=10.3x−5=1

A line passes through the point $(8,-3)$ and has a slope of $-\frac{5}{4}$ . Write an equation in slope-intercept form for this line. $\square$

2 (a) Solve $\log \left(x^{2}+5\right)-1=\log (x-2)$ . [3 marks] (b) Solve $\frac{2 x+1}{x+3} \leq-1$ [4 marks] (c) Solve $|x+5|-8>0$ . [4 marks]

Solve for $v$ . $3+4 v=-13$
Simplify your answer as much as possible. $v=$

Write the sentence as an equation. 300 plus the product of 298 and $d$ is the same as 255 more than a
Type a slash ( / ) if you want to use a division sign. $\square$ Submit

If $-y^{3}-3-4 x y+4 x=0$ then find $\frac{d y}{d x}$ in terms of $x$ and $y$ .

Solve for $u$ . $-3|u|=-30$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Points: 0 of 1 Save
Starting with a 60-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 480 feet of fencing, as shown in the figure to the right. Find the values of $x$ and $w$ that result in the greatest possible area.

$y=\tan (55)+2 \cos (-20) / 2$

$(x+5)^{2}-16=0$

For the following order, calculate how much water needs to be added to the Isocal tube feeding (answer using a numerical value only): $\qquad$ mL Order. Prepare $3 / 4$ strength Isocal, with a total volume of 150 mL

c) $\frac{\sin x \cos x}{\tan x}=1-\sin ^{2} x$

Question Watch Video
Solve for all values of $x$ by factoring. $x^{2}-4 x-59=-4 x+5$
Answer Attempt 1 out of 2

Watch Video
Solve for all values of $x$ by factoring. $x^{2}+10 x-40=4 x$

Solve the quadratic by factoring. $3 x^{2}+12 x=7 x+2$

Graph the following features: - Y -intercept $=-6$ - Slope $=-\frac{1}{2}$ Answer Attempt 1 out of 20

Consider the following radical equation. $-2 \sqrt{-9 x-2}=5$
Solve for the only possible solution by isolating the square roots and then squaring on both sides: $x=$ None Does your solution satisfy the equation? No
Note: You can earn partial credit on this problem.

Question Watch $v$
Solve the quadratic by factoring. $5 x^{2}-20 x+14=2 x+6$

2. Ayana builds and sells bird feeders. It costs Ayana $\$ 6$ for supplies to build each feeder. She sells each feeder at a $400 \%$ markup. How much does Ayana charge for one of her bird feeders?

What are the solutions to $2 x^{2}+8 x+4=0$ ? $x=-6 \pm \sqrt{2}$ $x=-6 \pm 6 \sqrt{2}$ $x=-2 \pm \sqrt{2}$ $x=-2 \pm \frac{\sqrt{30}}{3}$

104. A television station has 20 min of advertising each hour. How many 30 -second ( $\frac{1}{2}-\mathrm{min}$ ) commercials can be run in a. 1 hr b. 1 day

24. The price of a television set was $\$ 1000$ . The television set is $75 \%$ off. What is the amount of the discount?

2. The Spanish club held a car wash to raise money. The equation $y=5 x$ represents the amount of money $y$ club members made for washing $x$ cars. Identify the constant of proportionality. Then explain what it represents in this situation. (Example ?)

116. How many sixths are in $\frac{4}{3}$ ?

Write a linear equation to represent the relationship between $x$ and $y$ .

The sum of the coefficients in the expansion of the expression $(a+b)^{n}$ is 64 . Use Pascal's Triangle to find the value of $n$ . $\mathrm{n}=$ $\square$ (Type a whole number.) Video Textbook Get more help - Clear

Loop 1 Name $\qquad$ Tuesday
1. What is the difference between the highest and lowest temperature shown on the thermometer? A. 28 degrees B. 23 degrees C. 17 degrees D. Cannot be determined
2. Solve the following equation for $x$ . $0.3 x-5=1$

I CAN ADDLY RATIOS TO SOIVE REAL-WORLD
11. A florist uses 160 roses to make 5 identical flower arrangements. How many roses would the florist use to create 8 identical arrangements? Set up a proportion to solve.

13. Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
56 miles \begin{tabular}{|l|l|} \hline 36 & 29 miles \\ \hline \end{tabular}

4 Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Which equation can be used to determine the number of DVDs in Daniel's collection?
A $3 x-x=67$ (B) $x+x=67$ (C) $3 x+x=67$ (D) $3 x=67$

I CAN ADDLY RATES TO SOIVE REAL-WORLD
20. Yvonne paid $\$ 18.72$ for 8 gallons of gas. She then passed by another gas station advertising $\$ 2.29$ per gallon. How much money would she have saved if she had waited and purchased gas at the second location?

Solve the equation for $n$ without using your calculator. Then use it to find the answer to the expression. $\begin{array}{l} 10^{n}=10000 \\ 5 n+5= \end{array}$ $\square$

If $e^{4 x}=21$ , then $x=$

Train tickets cost \ $48 for adults and$ \ $32$ for children. There are 27 adults and 55 children on the train. How much did the passengers pay to ride the train?