Equation

Problem 18501

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

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Problem 18502

Find the distance from dock A to a coral reef given docks A and B are $2593 \mathrm{ft}$ apart with bearings $61^{\circ} 28^{\prime}$ and $331^{\circ} 28^{\prime}$ . Round to the nearest integer.

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Problem 18503

A hot-water bottle has 763 g of water at 73°C. How many kJ of heat transfers to sore muscles if it cools to 37°C?

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Problem 18504

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

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Problem 18505

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

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Problem 18506

Find the distance from City A to City C, given bearings and travel times. Round to the nearest mile.

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Problem 18507

A. Compare the downstream speed of a barge traveling 120 miles in 8 hours to its upstream speed of 100 miles in 10 hours.

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Problem 18508

Find the height of a stone face on a mountain, given angles of elevation of $28^{\circ}$ and $31^{\circ}$ from 800 feet away.

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Problem 18509

Graph the line for the equation $x - y = 2$ .

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Problem 18510

Divide 12 by $\frac{7}{8}$ and verify that $\frac{21}{10}=2 \frac{1}{10}$ .

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Problem 18511

What is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

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Problem 18512

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

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Problem 18513

Find the length $l$ of a rectangle with area $25 \mathrm{in}^2$ and width $w = 10 \mathrm{in}$ . Use $A = l w$ .

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Problem 18514

Find the specific heat of a $4.11 \mathrm{~g}$ silicon sample that rises by $3.8^{\circ} \mathrm{C}$ with $11.1 \mathrm{~J}$ added.

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Problem 18515

Find the length $l$ of a rectangle with area $A=25 \mathrm{in}^2$ for widths $w=10$ and $w=15$ inches.

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Problem 18516

How many bags of chips provide $14.6 \times 10^{3} \mathrm{~kJ}$ of energy to store $1 \mathrm{lb}$ of body fat?

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Problem 18517

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

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Problem 18518

Find the length $l$ of a rectangle with area $25 \mathrm{in}^{2}$ for widths $w = 10$ in and $w = 15$ in. Rearrange $A = lw$ .

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Problem 18519

How many kilojoules of heat energy are absorbed by 0.750 pint of water heated from room temp to boiling?

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Problem 18520

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: $8,947 + 12,783$ .

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Problem 18521

A rectangle has area $A = 25 \mathrm{in}^2$ . If $w = 10$ in, find $l$ . If $w = 15$ in, find $l$ . Rearrange $A = lw$ for $l$ .

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Problem 18522

Calculate the heat needed to raise the temperature of an $8.21 \mathrm{~g}$ gold sample by $6.2^{\circ} \mathrm{C}$ with specific heat $0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ .

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Problem 18523

Zoe and Yolanda's money ratio is $3:7$ . Yolanda has \ $64 more than Zoe. After Yolanda gives$ \frac{1}{4}$ of her money to Zoe, find the new ratio.

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Problem 18524

How much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)

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Problem 18525

Write a slope-intercept equation for a geoduck's growth from 4 cm at age 10 to 18 cm at age 100.

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Problem 18526

How many more tickets did the Felines sell than the Canines if they sold 6,224 and 4,038 tickets respectively?

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Problem 18527

Find the base $b$ of a triangle when the area $A=100$ and height $h=20$ using $A=\frac{1}{2} b h$ .

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Problem 18528

Cindy paid \$241.80 in extra charges at \$20.15 per pound. How many pounds did her luggage exceed the limit?

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Problem 18529

Find the base $b$ of a triangle with area $A=100$ and height $h=20$ using the formula $A=\frac{1}{2} b h$ .

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Problem 18530

Calculate the specific heat capacity of $25.0 \mathrm{~g}$ of mercury heated from $25.0^{\circ} \mathrm{C}$ to $155^{\circ} \mathrm{C}$ with 455 J.

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Problem 18531

Calculate the temperature change of a 19.0 g aluminum can when 55 J of heat is added, using specific heat 0.903 J/g°C.

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Problem 18532

Mr. Olson had $16 \mathrm{~L}$ of paint. After using $3 \mathrm{~L} 250 \mathrm{ml}$ and $80\%$ of the rest, how much is left?

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Problem 18533

Calculate how many thorium atoms (240 pm radius) are needed to span $1.40 \mathrm{~mm}$ .

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Problem 18534

Did Lilith walk more steps on Monday than Tuesday? Calculate the difference: $15,258 - 12,474$ . Is 2,784 reasonable?

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Problem 18535

Rewrite the quadratic $x^{2}+8x-3$ in vertex form $y=(x+h)^{2}+k$ by completing the square. Choose a step:
1. $y=x^{2}+8x+8-3-8$
2. $y=x^{2}+8x+8-3+8$
3. $y=x^{2}+8x+16-3-16$
4. $y=x^{2}+8x+16-3+16$

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Problem 18536

A car's tank is $80\%$ full. After using $30\%$ of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.

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Problem 18537

A group of hikers descended 1,200 feet in 3 hours. What was the change in elevation per hour? Answer: 400.

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Problem 18538

Find the weight of one mole of pennies if a dozen weigh $6.022 \times 10^{23}$ grams.

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Problem 18539

Simplify $\left(-\frac{1}{2}\right)^{5}=\square$ (What is the result?)

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Problem 18540

Miguel borrowed \$500 at 6.5\% simple interest for 6 months. What is the interest amount?

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Problem 18541

Calculate the specific heat of a liquid given that $47.1 \mathrm{~J}$ raises $13.8 \mathrm{~g}$ by $1.79^{\circ} \mathrm{C}$ .

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Problem 18542

What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs $1.79 \times 10^{-22}$ grams?

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Problem 18543

4,860 people visited a fair on Saturday, which was $20\%$ more than Friday. Find Friday's visitor count.

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Problem 18544

Solve for $x$ : $\frac{220,000}{x+475}=0$

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Problem 18545

Find the second least positive value (in radians) for $\beta$ given $11\pi/6$ and for $\gamma$ given $\tan(\gamma)=1$ .

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Problem 18546

Five 6th graders raced 3 miles. Johnny was 3rd in 34 min. Other times were -5, -3, +4 min. Find 5th place time.

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Problem 18547

If $\tan (\gamma)=1$ , what are the least and second least positive values of $\gamma$ in radians?

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Problem 18548

Find values of $a$ and $b$ such that $3(2x+15)=ax+b$ has exactly one solution. Options for $a$ and $b$ are given.

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Problem 18549

Calculate $\frac{0.0180-0.0059}{0.03168}$ .

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Problem 18550

How many cm are in 1 yard if there are 2.54 cm per inch? Show your work without rounding.

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Problem 18551

A $28.4 \mathrm{~g}$ aluminum sample at $39.4{ }^{\circ} \mathrm{C}$ heats $50.0 \mathrm{~g}$ of water from $21.00^{\circ} \mathrm{C}$ to $23.00^{\circ} \mathrm{C}$ . Find aluminum's specific heat.

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Problem 18552

What is the probability of correctly guessing a 5-digit PIN from a 10-key keypad on the first try? Use the multiplication rule.

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Problem 18553

Convert the equation $x - 4y = -4$ to slope-intercept form ( $y = mx + b$ ).

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Problem 18554

Calculate the distance between the points $(-6,-5)$ and $(2,0)$ .

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Problem 18555

Mix how many gallons of $80\%$ antifreeze with 60 gallons of $30\%$ antifreeze for a $70\%$ mixture? Use six steps.

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Problem 18556

In a jar, $30\%$ of the beads are red, and there are 500 more blue beads than red. Find the total number of beads.

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Problem 18557

Find the velocity of a particle with displacement $s=\frac{2}{t^{2}}$ at $t=a, t=1, t=2, t=3$ (in $\mathrm{m/s}$ ).

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Problem 18558

Solve and write the sum in standard form: a. 1 thousandth + 2 thousandths = $=$ b. 35 thousandths + 8 thousandths = $=$ hundredths c. 6 tenths + 3 thousandths = $=$

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Problem 18559

A cyclist took 3 h to cycle from Town X to Town Y at 12 km/h. If speed increases by 3 km/h, how long will the journey take?

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Problem 18560

Calculate $3 + 9 \cdot 6$ . What is the result?

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Problem 18561

Find the implicit derivative of $y - \cos y = x + 1$ .

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Problem 18562

Peirson bought $4 \frac{1}{3}$ pounds of shrimp. On Wednesday, he bought double. On Friday, he used $\frac{D}{6}$ . How much did he use?

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Problem 18563

A motorist traveled from Town A to B, averaging $54 \mathrm{~km/h}$ . If the first $\frac{1}{3}$ was at $45 \mathrm{~km/h}$ and he traveled 480 km after, find the speed for the last $\frac{2}{3}$ .

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Problem 18564

Find a counterexample to show that the sum of two six-digit numbers can be a six-digit number: $x+y$ is a six-digit number.

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Problem 18565

Prove the trigonometric equation: $\theta \sin \left(\frac{1}{n}\right) \frac{x}{\sqrt{1-x^{2}}} = \tan^{-1}(x)$ .

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Problem 18566

Sierra buys $3 \frac{1}{2}$ Lbs of bananas, $1 \frac{3}{4}$ Lbs of blueberries, and 2 Lbs of raspberries at \$0.80/Lb. Total cost?

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Problem 18567

Determine if the volume of sphere $Y$ (radius $2r$ ) is twice that of sphere $X$ (radius $r$ ) for $r=3$ . a. True b. False

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Problem 18568

Raul works 2h/day, Mon-Fri, and 8h on Sat at \$2 more/hour. He earns \$142/week. Find his weekday hourly rate.

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Problem 18569

Tanisa and her sister bought 5 pairs of shoes for a total of \$170, including \$15 shipping. Find the cost per pair.

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Problem 18570

Kayla drew a tangent line to $f(x)$ at $(10, f(10))$ with slope 2 and $y$ -intercept -1. Find $f(10)$ .

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Problem 18571

Find the $x$ -intercept and $y$ -intercept of the line $3x - 2y = -18$ and use them to graph the line.

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Problem 18572

Solve for $x$ in the equation $5 x=9 x-16$ .

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Problem 18573

Show that multiplication is commutative by proving $q \cdot c = c \cdot q$ for variables 'q' and 'c'.

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Problem 18574

Find the value of $x$ . a) the sum of interior quadrilateral is 360. $x=$ $\qquad$

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Problem 18575

Graph the line. $y=2 x-6$ Explanation Check

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Problem 18576

PRACTICE QUESTION 11 A 2.4 g sample of carbon is burnt in a calorimeter. Given that $\Delta \mathrm{H}^{\circ} \mathrm{f}$ for $\mathrm{CO}_{2}$ is $-394 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and the heat capacity of the calorimeter is $10 \mathrm{~kJ}^{\circ} \mathrm{C}^{-1}$ , calculate the temperature change of the calorimeter.
Answer

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Problem 18577

1) A rope is cut into three pieces $P, Q$ , and $R$ . The lengths of the pieces are in the ratio $3: 5: 7$ . If the rope is 33 feet 9 inches long, find the lengths of $P, Q$ , and $R$ .

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Problem 18578

Grades 41
Announcements IXL Learning iReady Question 13 5 pts
Which equation correctly represents the line in slope-intercept form of $y+4=2(x-3) ?$
Enter your answer like this: $y=3 x+7$ (this is just an example, not the answer). $y=$ $\square$ Next

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Problem 18579

Point $C$ is the midpoint of $\overline{A B}$ and point $B$ is between points $A$ and $D$ . If $A D=17$ and $B D=9$ , what $C D=$

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Problem 18580

Examine the following graph of a line. (c) 2017 FlipSwitch. Created using GeoGebra.
Which equation, in point-slope form, correctly represents

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Problem 18581

Before toothpaste was invented, people sometimes used calcium carbonate, $\mathrm{CaCO}_{3}(\mathrm{~s})$ , to clean their teeth. What mass of calcium carbonate can be precipitated by reacting 80.0 mL of a $0.100 \mathrm{~mol} / \mathrm{L}$ solution of sodium carbonate, $\mathrm{Na}_{2} \mathrm{CO}_{3}(\mathrm{aq})$ , with 50.0 mL of a $0.100 \mathrm{~mol} / \mathrm{L}$ solution of calcium chloride, $\mathrm{CaCl}_{2}(\mathrm{aq})$ ?

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Problem 18582

A rectangular lot is 80 yards wide and 130 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area. $\square$ width $=$ yards yards

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Problem 18583

5. For each of the following, find the number described by setting up and solving an equation. Use the variable $n$ in each case. (a) When two-thirds of a number is (b) When the sum of a number and 14 is increased by 8 , the result is 20 . divided by 3 , the result is 4 .
USING YOUR MATH
6. Mark is six years older than his brother Sam. The sum of their ages is 30. Let $a$ be Sam's age. Set up and solve an equation using the information given to find the value of $a$ .
7. Alonzo and Mandy are selling raffle tickets at school for a fundraiser. Alonzo sells 5 tickets less than three times what Mandy sells. Together they sell a total of 43 tickets. Let $n$ equal the number of tickets Mandy sells. Use an equation to determine the number of tickets Alonzo sells. Show how you arrived at your answer.
8. Elena, Karla, and Faye are playing a card game where they score points. Karla scores twice the number of points Elena does, and Faye scores 30 points more than Elena does. The sum of their three scores is 114 . Who scores more points, Karla or Faye? Show how you found your answer. (Hint: Let $n$ equal the number of points that Elena scores.) N-Gen Matie 7, Unit 6-Lintar Equations and Inequalities - Lesson 6

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Problem 18584

Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 18585

A calculator is allowed for this question. Solve for $x$ (round to the nearest thousandth)

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Problem 18586

13. $x+\frac{1}{2} y=3$

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Problem 18587

Verify that the equation is an identity. $\frac{\csc \alpha}{\cot \alpha}=\sec \alpha$
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. $\frac{\csc \alpha}{\cot \alpha}=\frac{\square}{\square}$
What transforniation is made in the numerator? $\square$ What transformation is made in the denominator? $\square$

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Problem 18588

Find all solutions over the interval $[0,2 \pi]$ given the equation $2 \cos ^{2} \theta+3 \cos \theta=-1$

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Problem 18589

Accelerated Pre-Calculus Seat \# $\qquad$ Date $\qquad$ 4.11a - Homework Educatior Binder S
Part I: New Material - Solving Quadratic Trigonometric Equations A. Directions: Find all solutions to each equation over the interval $[0,2 \pi]$ . Show all wor your final answer.
1. $2 \cos (x)=1$
2. ) $2 \sin ^{2} x+3 \sin x+1=0$

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Problem 18590

4. A company budgeted unit sales of 204,000 units for January, 2017 and 240,000 units for February 2017. The company-has-a policy of having an inventory of units on hand at the end equal to $30 \%$ of next month's budgeted unit sales. If there were 61,200 units of inventory on hand on December 31, 2016, how many units should be produced in January, 2017 in order for the company to meet its goals?

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Problem 18591

Find $f$ if $f^{\prime \prime}(x)=4-6 x, f(0)=4$ , and $f(2)=-7$ . Answer: $f(x)=$ $\square$
Preview My Answers Submit Answers

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Problem 18592

(1 point)
The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm . If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area. \begin{tabular}{|l|l|l|} \hline & & \\ \hline & \begin{tabular}{c} printed \\ material \end{tabular} & \\ \hline & & \\ \hline \end{tabular}
Width = $\square$ (include $\square$ help (units) Height $=$ $\square$ (include help (units)
Note: You can earn partial credit on this problem.

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Problem 18593

If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume $=$ $\square$ (include help (units)

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Problem 18594

18) $\frac{(x+9)^{2}}{81}+\frac{(y-5)^{2}}{36}=1$

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Problem 18595

You invest $\$ 300$ in an account at $7.5 \%$ per year simple interest. How much will you have in the account at the beginning of the 11th year? Round your answer to the nearest whole dollar. A. $\$ 575$ B. $\$ 525$ C. $\$ 601$ D. $\$ 375$ SUBMIT

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Problem 18596

What is the stope of the line that passes through $(-3,2)$ and $(-3,4)$ ? (A) $=\frac{13}{4}$ (B) 0 (C) $-\frac{4}{13}$ (D) Undefined

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Problem 18597

27) Solve the quadratic by Graphing on Desmos: $-2 x^{2}+12 x=17$ \begin{tabular}{|l|l|} \hline A. $x=2.50$ and 3.59 & C. $x=2.293$ and 3.707 \\ \hline B. $x=-1.183$ and 7.183 & D. No Real Solutions \\ \hline \end{tabular}

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Problem 18598

Graph the line. $y=\frac{3}{2} x-1$

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Problem 18599

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 55:23
Margo spends a quarter of her paycheck on a new dress, $\frac{1}{8}$ of her paycheck on shoes, and $\$ 24$ on a birthday present. If she spent $\$ 60$ altogether, how much was Margo's paycheck? $\$ 96$ \$160 \$216 \$504

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Problem 18600

Time left 0:10:51
If the general solution of $y^{\prime \prime}-2 y^{\prime}+y=\frac{e^{x}}{x^{2}+1}$ is $y=y_{h}+y_{p}$ , then the particular solution ( by variation of parameters) $y_{p}=$ a. $\quad \frac{1}{2} e^{x} \ln \left(x^{2}+1\right)+e^{x} \tan ^{-1}(x)$ b. $\frac{-1}{4} e^{x} \ln \left(x^{2}+1\right)+2 x e^{x} \tan ^{-1}(x)$ c. $-e^{x} \ln \left(x^{2}+1\right)+2 x e^{x} \tan ^{-1}(x)$ d. $\frac{-1}{2} e^{x} \ln \left(x^{2}+1\right)+x e^{x} \tan ^{-1}(x)$ e. $-2 e^{x} \ln \left(x^{2}+1\right)+4 x e^{x} \tan ^{-1}(x)$

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1 ...183 184 185 186 187

Equation

Problem 18501

Estimate household size H\mathrm{H}H using H=aM+bP+c\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}H=aM+bP+c from given data. Find a\mathrm{a}a, b\mathrm{b}b, c\mathrm{c}c.

Problem 18502

Find the distance from dock A to a coral reef given docks A and B are 2593ft2593 \mathrm{ft}2593ft apart with bearings 61∘28′61^{\circ} 28^{\prime}61∘28′ and 331∘28′331^{\circ} 28^{\prime}331∘28′. Round to the nearest integer.

Problem 18503

A hot-water bottle has 763 g of water at 73°C. How many kJ of heat transfers to sore muscles if it cools to 37°C?

Problem 18504

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

Problem 18505

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

Problem 18506

Find the distance from City A to City C, given bearings and travel times. Round to the nearest mile.

Problem 18507

A. Compare the downstream speed of a barge traveling 120 miles in 8 hours to its upstream speed of 100 miles in 10 hours.

Problem 18508

Find the height of a stone face on a mountain, given angles of elevation of 28∘28^{\circ}28∘ and 31∘31^{\circ}31∘ from 800 feet away.

Problem 18509

Graph the line for the equation x−y=2x - y = 2x−y=2.

Problem 18510

Divide 12 by 78\frac{7}{8}87​ and verify that 2110=2110\frac{21}{10}=2 \frac{1}{10}1021​=2101​.

Problem 18511

What is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

Problem 18512

Find the distance between marinas at P(4,2)P(4,2)P(4,2) and Q(8,12)Q(8,12)Q(8,12) on a map where 1 unit = 1 km. Choices: A. 14 km B. 2292 \sqrt{29}229​ km C. 6 km D. 252 \sqrt{5}25​ km

Problem 18513

Find the length lll of a rectangle with area 25in225 \mathrm{in}^225in2 and width w=10inw = 10 \mathrm{in}w=10in. Use A=lwA = l wA=lw.

Problem 18514

Find the specific heat of a 4.11 g4.11 \mathrm{~g}4.11 g silicon sample that rises by 3.8∘C3.8^{\circ} \mathrm{C}3.8∘C with 11.1 J11.1 \mathrm{~J}11.1 J added.

Problem 18515

Find the length lll of a rectangle with area A=25in2A=25 \mathrm{in}^2A=25in2 for widths w=10w=10w=10 and w=15w=15w=15 inches.

Problem 18516

How many bags of chips provide 14.6×103 kJ14.6 \times 10^{3} \mathrm{~kJ}14.6×103 kJ of energy to store 1lb1 \mathrm{lb}1lb of body fat?

Problem 18517

Find point J if D is the midpoint of HJ, with D at (−3,4)(-3,4)(−3,4) and H at (9,−6)(9,-6)(9,−6). Where is J? A. (−15,14)(-15,14)(−15,14) B. (21,−16)(21,-16)(21,−16) C. (3,−1)(3,-1)(3,−1) D. (6,−2)(6,-2)(6,−2)

Problem 18518

Find the length lll of a rectangle with area 25in225 \mathrm{in}^{2}25in2 for widths w=10w = 10w=10 in and w=15w = 15w=15 in. Rearrange A=lwA = lwA=lw.

Problem 18519

How many kilojoules of heat energy are absorbed by 0.750 pint of water heated from room temp to boiling?

Problem 18520

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: 8,947+12,7838,947 + 12,7838,947+12,783.

Problem 18521

A rectangle has area A=25in2A = 25 \mathrm{in}^2A=25in2. If w=10w = 10w=10 in, find lll. If w=15w = 15w=15 in, find lll. Rearrange A=lwA = lwA=lw for lll.

Problem 18522

Calculate the heat needed to raise the temperature of an 8.21 g8.21 \mathrm{~g}8.21 g gold sample by 6.2∘C6.2^{\circ} \mathrm{C}6.2∘C with specific heat 0.13 J/g∘C0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}0.13 J/g∘C.

Problem 18523

Zoe and Yolanda's money ratio is 3:73:73:7. Yolanda has \64morethanZoe.AfterYolandagives64 more than Zoe. After Yolanda gives 64morethanZoe.AfterYolandagives\frac{1}{4}$ of her money to Zoe, find the new ratio.

Problem 18524

How much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)

Problem 18525

Write a slope-intercept equation for a geoduck's growth from 4 cm at age 10 to 18 cm at age 100.

Problem 18526

How many more tickets did the Felines sell than the Canines if they sold 6,224 and 4,038 tickets respectively?

Problem 18527

Find the base bbb of a triangle when the area A=100A=100A=100 and height h=20h=20h=20 using A=12bhA=\frac{1}{2} b hA=21​bh.

Problem 18528

Cindy paid \$241.80 in extra charges at \$20.15 per pound. How many pounds did her luggage exceed the limit?

Problem 18529

Find the base bbb of a triangle with area A=100A=100A=100 and height h=20h=20h=20 using the formula A=12bhA=\frac{1}{2} b hA=21​bh.

Problem 18530

Calculate the specific heat capacity of 25.0 g25.0 \mathrm{~g}25.0 g of mercury heated from 25.0∘C25.0^{\circ} \mathrm{C}25.0∘C to 155∘C155^{\circ} \mathrm{C}155∘C with 455 J.

Problem 18531

Calculate the temperature change of a 19.0 g aluminum can when 55 J of heat is added, using specific heat 0.903 J/g°C.

Problem 18532

Mr. Olson had 16 L16 \mathrm{~L}16 L of paint. After using 3 L250ml3 \mathrm{~L} 250 \mathrm{ml}3 L250ml and 80%80\%80% of the rest, how much is left?

Problem 18533

Calculate how many thorium atoms (240 pm radius) are needed to span 1.40 mm1.40 \mathrm{~mm}1.40 mm.

Problem 18534

Did Lilith walk more steps on Monday than Tuesday? Calculate the difference: 15,258−12,47415,258 - 12,47415,258−12,474. Is 2,784 reasonable?

Problem 18535

Problem 18536

A car's tank is 80%80\%80% full. After using 30%30\%30% of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.

Problem 18537

A group of hikers descended 1,200 feet in 3 hours. What was the change in elevation per hour? Answer: 400.

Problem 18538

Find the weight of one mole of pennies if a dozen weigh 6.022×10236.022 \times 10^{23}6.022×1023 grams.

Problem 18539

Simplify (−12)5=□\left(-\frac{1}{2}\right)^{5}=\square(−21​)5=□ (What is the result?)

Problem 18540

Miguel borrowed \$500 at 6.5\% simple interest for 6 months. What is the interest amount?

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

Find the distance from dock A to a coral reef given docks A and B are $2593 \mathrm{ft}$ apart with bearings $61^{\circ} 28^{\prime}$ and $331^{\circ} 28^{\prime}$ . Round to the nearest integer.

Find the height of a stone face on a mountain, given angles of elevation of $28^{\circ}$ and $31^{\circ}$ from 800 feet away.

Graph the line for the equation $x - y = 2$ .

Divide 12 by $\frac{7}{8}$ and verify that $\frac{21}{10}=2 \frac{1}{10}$ .

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

Find the length $l$ of a rectangle with area $25 \mathrm{in}^2$ and width $w = 10 \mathrm{in}$ . Use $A = l w$ .

Find the specific heat of a $4.11 \mathrm{~g}$ silicon sample that rises by $3.8^{\circ} \mathrm{C}$ with $11.1 \mathrm{~J}$ added.

Find the length $l$ of a rectangle with area $A=25 \mathrm{in}^2$ for widths $w=10$ and $w=15$ inches.

How many bags of chips provide $14.6 \times 10^{3} \mathrm{~kJ}$ of energy to store $1 \mathrm{lb}$ of body fat?

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

Find the length $l$ of a rectangle with area $25 \mathrm{in}^{2}$ for widths $w = 10$ in and $w = 15$ in. Rearrange $A = lw$ .

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: $8,947 + 12,783$ .

A rectangle has area $A = 25 \mathrm{in}^2$ . If $w = 10$ in, find $l$ . If $w = 15$ in, find $l$ . Rearrange $A = lw$ for $l$ .

Calculate the heat needed to raise the temperature of an $8.21 \mathrm{~g}$ gold sample by $6.2^{\circ} \mathrm{C}$ with specific heat $0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ .

Zoe and Yolanda's money ratio is $3:7$ . Yolanda has \ $64 more than Zoe. After Yolanda gives$ \frac{1}{4}$ of her money to Zoe, find the new ratio.

Find the base $b$ of a triangle when the area $A=100$ and height $h=20$ using $A=\frac{1}{2} b h$ .

Find the base $b$ of a triangle with area $A=100$ and height $h=20$ using the formula $A=\frac{1}{2} b h$ .

Calculate the specific heat capacity of $25.0 \mathrm{~g}$ of mercury heated from $25.0^{\circ} \mathrm{C}$ to $155^{\circ} \mathrm{C}$ with 455 J.

Mr. Olson had $16 \mathrm{~L}$ of paint. After using $3 \mathrm{~L} 250 \mathrm{ml}$ and $80\%$ of the rest, how much is left?

Calculate how many thorium atoms (240 pm radius) are needed to span $1.40 \mathrm{~mm}$ .

Did Lilith walk more steps on Monday than Tuesday? Calculate the difference: $15,258 - 12,474$ . Is 2,784 reasonable?

A car's tank is $80\%$ full. After using $30\%$ of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.

Find the weight of one mole of pennies if a dozen weigh $6.022 \times 10^{23}$ grams.

Simplify $\left(-\frac{1}{2}\right)^{5}=\square$ (What is the result?)

Calculate the specific heat of a liquid given that $47.1 \mathrm{~J}$ raises $13.8 \mathrm{~g}$ by $1.79^{\circ} \mathrm{C}$ .

What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs $1.79 \times 10^{-22}$ grams?

4,860 people visited a fair on Saturday, which was $20\%$ more than Friday. Find Friday's visitor count.

Solve for $x$ : $\frac{220,000}{x+475}=0$

Find the second least positive value (in radians) for $\beta$ given $11\pi/6$ and for $\gamma$ given $\tan(\gamma)=1$ .

If $\tan (\gamma)=1$ , what are the least and second least positive values of $\gamma$ in radians?

Find values of $a$ and $b$ such that $3(2x+15)=ax+b$ has exactly one solution. Options for $a$ and $b$ are given.

Calculate $\frac{0.0180-0.0059}{0.03168}$ .

A $28.4 \mathrm{~g}$ aluminum sample at $39.4{ }^{\circ} \mathrm{C}$ heats $50.0 \mathrm{~g}$ of water from $21.00^{\circ} \mathrm{C}$ to $23.00^{\circ} \mathrm{C}$ . Find aluminum's specific heat.

Convert the equation $x - 4y = -4$ to slope-intercept form ( $y = mx + b$ ).

Calculate the distance between the points $(-6,-5)$ and $(2,0)$ .

Mix how many gallons of $80\%$ antifreeze with 60 gallons of $30\%$ antifreeze for a $70\%$ mixture? Use six steps.

In a jar, $30\%$ of the beads are red, and there are 500 more blue beads than red. Find the total number of beads.

Find the velocity of a particle with displacement $s=\frac{2}{t^{2}}$ at $t=a, t=1, t=2, t=3$ (in $\mathrm{m/s}$ ).

Solve and write the sum in standard form: a. 1 thousandth + 2 thousandths = $=$ b. 35 thousandths + 8 thousandths = $=$ hundredths c. 6 tenths + 3 thousandths = $=$

Calculate $3 + 9 \cdot 6$ . What is the result?

Find the implicit derivative of $y - \cos y = x + 1$ .

Peirson bought $4 \frac{1}{3}$ pounds of shrimp. On Wednesday, he bought double. On Friday, he used $\frac{D}{6}$ . How much did he use?

A motorist traveled from Town A to B, averaging $54 \mathrm{~km/h}$ . If the first $\frac{1}{3}$ was at $45 \mathrm{~km/h}$ and he traveled 480 km after, find the speed for the last $\frac{2}{3}$ .

Find a counterexample to show that the sum of two six-digit numbers can be a six-digit number: $x+y$ is a six-digit number.

Prove the trigonometric equation: $\theta \sin \left(\frac{1}{n}\right) \frac{x}{\sqrt{1-x^{2}}} = \tan^{-1}(x)$ .

Sierra buys $3 \frac{1}{2}$ Lbs of bananas, $1 \frac{3}{4}$ Lbs of blueberries, and 2 Lbs of raspberries at \$0.80/Lb. Total cost?

Determine if the volume of sphere $Y$ (radius $2r$ ) is twice that of sphere $X$ (radius $r$ ) for $r=3$ . a. True b. False

Kayla drew a tangent line to $f(x)$ at $(10, f(10))$ with slope 2 and $y$ -intercept -1. Find $f(10)$ .

Find the $x$ -intercept and $y$ -intercept of the line $3x - 2y = -18$ and use them to graph the line.

Solve for $x$ in the equation $5 x=9 x-16$ .

Show that multiplication is commutative by proving $q \cdot c = c \cdot q$ for variables 'q' and 'c'.

Find the value of $x$ . a) the sum of interior quadrilateral is 360. $x=$ $\qquad$