Word Problems

Problem 5101

Find the equation of the line through $(-1,-4)$ parallel to $3x+y=5$ . Choices: $y=3x+1$ , $y=-3x+7$ , $y=-3x-7$ , $y=3x-1$ .

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Problem 5102

Ann invests \$40,000 at 4% compounded annually. Jim invests \$40,000 at 4% simple interest. Calculate their interest for 3 years and compare.

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Problem 5103

Record the truck's mileage at various times. Identify independent (time) and dependent (mileage) variables.

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Problem 5104

Find the equation of the line through $(-2,3)$ and perpendicular to $5x - y = 12$ . Choose from the options.

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Problem 5105

Reflect the point $S(0,2)$ over the $x$ -axis. What are the coordinates of $S^{\prime}$ ?

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Problem 5106

Reflect the point $T(-3,2)$ over the $y$ -axis. What are the coordinates of $T^{\prime}$ ?

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Problem 5107

Find the mass of Copper in Sample 2 (1.550 g) using the composition of Sample 1 (2.000 g, 0.9450 g Copper).

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Problem 5108

What shape is formed by two non-collinear rays $\overrightarrow{A B}$ and $\overrightarrow{A C}$ ?

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Problem 5109

Identify the angle measures that can form an acute scalene triangle from these sets: $46^{\circ}, 67^{\circ}, 67^{\circ}$ $46^{\circ}, 57^{\circ}, 67^{\circ}$ $36^{\circ}, 57^{\circ}, 87^{\circ}$ $36^{\circ}, 47^{\circ}, 97^{\circ}$

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Problem 5110

What is the scale of Paco's drawing if the longest side is 5 inches and the original is 10 inches with a length of 4 in. : 5 yd?

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Problem 5111

Tom deposits \$1800 in a bank with 8% continuous interest. How much will he have after 4 years? Round to the nearest cent.

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Problem 5112

Calculate the mass of water produced when $1.234 \mathrm{~g}$ of butane reacts with $4.416 \mathrm{~g}$ of oxygen, generating $3.737 \mathrm{~g}$ of $\mathrm{CO}_{2}$ .

See Solution

Problem 5113

Find the area of a poster with length $6x$ inches and width $5x + 6$ inches. Simplify your expression.

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Problem 5114

Sarah spins a four-sided spinner with numbers $0, 1, 1, 3$ .
(i) What number is most likely to land? (ii) What's the probability of landing on 1 twice? (iii) Given $\frac{729}{16384}$ for landing on 3 on the $n$ th spin, find $n$ .

See Solution

Problem 5115

Find the diagonal length of a monitor with dimensions 24 inches (length) and 18 inches (height) to the nearest inch. Use $d = \sqrt{24^2 + 18^2}$ .

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Problem 5116

Identify the measures of central tendency: mean, mode, median. Check all that apply from the list provided.

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Problem 5117

Describe $A^{\prime}$ : the set of universities without a baseball team. Choose the correct option from A, B, C, or D.

See Solution

Problem 5118

Solve the compound inequality: $x-3 \leq 6$ and $x+2 \geq 4$ . Provide the solution set in interval and graph forms.

See Solution

Problem 5119

Why is a dotplot ineffective for shark attack data? Which graph suits best: dotplot, stemplot, time-series, Pareto, pie, or frequency polygon?

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Problem 5120

Can a graph help address issues in a voluntary response sample of weights from an online survey? Choose the correct answer. A. Yes, it can help by using certain graphs to obscure specific values. B. No, all inaccuracies must be removed before graphing. C. No, a bad sample can't be salvaged by graphs. D. Yes, a graph with an accurate description of deficiencies is unbiased.

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Problem 5121

Calculate the hourly temperature drop if it decreases by 24.8 degrees in $6 \frac{1}{4}$ hours.

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Problem 5122

To find a matching pair of socks from two colors, explain why drawing three socks guarantees a match.

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Problem 5123

Identify if these are statements and if true or false: a) Washington is a state. b) Run past the gym. c) $2x=6$ d) $5+5=5$ .

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Problem 5124

Find the converse, inverse, and contrapositive of: "If you visit your grandparents, then you can go to the park."

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Problem 5125

If a statement and its converse are true, which forms (inverse, contrapositive) are also true? A, B, C, or D?

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Problem 5126

How many pounds of chicken are needed for one serving if a recipe for 3 servings requires $3 \frac{3}{7}$ pounds?

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Problem 5127

Determine if sets $A=\{5,5,5,7,7,9,9,9\}$ and $B=\{9,7,5\}$ are equivalent and equal. Explain your answers.

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Problem 5128

Which sets can be matched one-to-one: a) $\{1,2,3,4,5\}$ and $\{m,n,0,b,s\}$ , b) $\{a,b,c,\ldots,f\}$ and $\{2,4,6,\ldots,10\}$ , c) letters in "jar" and $\{1,2,3,4\}$ ?

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Problem 5129

Find the time for a \$2500 investment at 2.8\% interest, compounded quarterly, to grow to \$4000. Round to the nearest hundredth.

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Problem 5130

Find the area of a poster with length $6x$ inches and width $5x + 6$ inches.

See Solution

Problem 5131

How many pitchers of lemonade does Molly need to serve 16 large glasses and 12 small glasses with none left over?

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Problem 5132

A truck driver is 150 miles from his exit, driving at 50 mph. Find his min and max driving hours before a rest stop within 30 miles.

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Problem 5133

If $A \subseteq B$ and $B \subseteq C$ , is $A \subseteq C$ ? Choose the correct response: B. Not necessarily true.

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Problem 5134

Why is the correlation coefficient $r$ called linear? Choose the correct answer: A, B, C, or D.

See Solution

Problem 5135

Does a linear correlation between carbon dioxide concentration and global temperature imply causation? Choose A or B.

See Solution

Problem 5136

Draw Utah to scale on paper, where 1 cm = 50 miles. Find Utah's length and width in miles first.

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Problem 5137

What can Justin expect from his stock investment? A. no loss B. small interest C. high growth & dividends D. 5-year maturity

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Problem 5138

If $A=\{a, b, c\}$ and $B=\{b, c, d\}$ , why is $A \cup B \neq \{a, b, c, b, c, d\}$ ? Choose the correct answer:
A. $A \cup B=\{a, b, c, d\}$ ; elements aren't repeated in sets. B. $A \cup B=\{b, c\}$ . C. $A \cup B=\varnothing$ . D. The union has fewer elements than either set.

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Problem 5139

Solve the compound inequality: $x+1 \geq 5$ and $x-2 \leq 10$ . Provide the solution in interval and graph forms.

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Problem 5140

Find the length of $OM$ given that $O$ is the center of a circle, $OA=20 \mathrm{~cm}$ , and $AB=24 \mathrm{~cm}$ .

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Problem 5141

Calculate and compare interest for Laura's compound and Eric's simple interest on \$70,000 at 3\% for 3 years.

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Problem 5142

Find $x$ if $AP=x$ , $AB=16$ , $CP=4$ , and $DP=7$ using the intersecting chords theorem.

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Problem 5143

Find the equation of a line in point-slope form that passes through $(5,-3)$ with a slope of $-\frac{1}{2}$ .

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Problem 5144

Calculate the sample size $n$ and mean $M$ for scores: 52, 84, 80, 52, 92, 68, 56, 96, 64. Then find new $n$ and $M$ after adding 8 points.

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Problem 5145

Laura deposits \$70,000 at 3% annual compound interest, while Eric uses simple interest. Calculate their interest for 3 years and compare.

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Problem 5146

Ravi buys a laptop for R\$7000, deposits R\$1400, and pays 12\% annual interest compounded quarterly for 3 years. Find his monthly payment.

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Problem 5147

Find the equation of a line in point-slope form with slope $\frac{1}{6}$ through the point $(10,2)$ .

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Problem 5148

Find the class boundaries for these age groups: $25-29$ , $30-34$ , $35-39$ , $40-44$ , $45-49$ , $50-54$ , $55-59$ .

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Problem 5149

Find the equation of a line in point-slope form with slope -4 through the point $(-3,8)$ . Simplify all fractions.

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Problem 5150

Find the equation of a line with slope 6 that passes through the point $(6,8)$ in point-slope form.

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Problem 5151

Find the equation of the line in point-slope form with point $(-9,9)$ and slope $\frac{1}{6}$ .

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Problem 5152

B) Une cuve a un observateur à $\mathrm{O}$ (1.20 m au-dessus de AB) et un poisson à $\mathrm{P}$ (0.80 m en dessous).
3) Quelle distance l'observateur pense-t-il voir le poisson ? Quelle distance le poisson voit-il l'observateur ?
4) Avec un miroir au fond (CD) et une épaisseur d'eau $\mathrm{e}=1.20 \mathrm{~m}$ , à quelle distance l'observateur voit-il son image ?
Comment cela change-t-il si l'eau s'écoule ?

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Problem 5153

Lucas sold his car for R12 000, invested it with changing rates. Find the total after 6 years with R3 000 added after 2 years.

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Problem 5154

Estimate the distance traveled in 8 hours 20 minutes at 39 miles per hour. Round to the nearest mile.

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Problem 5155

1. Calculate $1 \frac{3}{4}-\frac{4}{5}$ . What is the result?
2. Find the product of $\frac{3}{5}$ and $\frac{5}{6}$ in simplest form.
3. Convert 0.35 to a fraction in lowest terms.
4. Express 0.35 as a percentage.
5. Identify the equivalent of $2.3\%$ .

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Problem 5156

1.7 Calculate $\frac{1}{20} \times\left(\frac{1}{2}+\frac{2}{5}\right)$ . Choose A, B, C, or D. 1.8.1 Find the VAT on a R 15000 fridge at $15\%$ . Choose A, B, C, or D. 1.8.2 What is the total cost of the fridge including VAT? Choose A, B, C, or D. 1.8.3 Calculate $88\%$ of $40 \mathrm{~kg}$ . Choose A, B, C, or D.

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Problem 5157

Determine if statements are True or False. Answer examples: 2.1.1 True. Also, categorize ratios/rates and explain.

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Problem 5158

Calculate ingredients for 50 meatballs: minced beef, canned tomatoes, and eggs. Compare prices of minced beef at two shops. Determine meatballs needed for 24 and 30 people. Verify R3600 distribution among three children aged 3, 5, and 10 years.

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Problem 5159

Pete has $x$ mice. After getting 4 more, he has $x + 4$ . Mal has $x + 4 - 15$ . If Mal has 10 mice, find $x$ .

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Problem 5160

Write an absolute value inequality for the RDI of $800 \mathrm{mg}$ with a variation of $\pm 80 \mathrm{mg}$ .

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Problem 5161

Find the probability that a 4-digit even number formed from $0,1,2,3,4,5$ is a multiple of 4, with repeated digits allowed.

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Problem 5162

Express the RDI of a supplement ( $800 \mathrm{mg}$ ) with a variation of $\pm 80 \mathrm{mg}$ using an absolute value inequality. Solve it.

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Problem 5163

Convert 1.50 miles to inches using: 1 mile = 5280 feet and 1 foot = 12 inches. What is the result?

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Problem 5164

Convert 1.50 miles to inches using: 1 mile = 5280 feet, 1 foot = 12 inches.

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Problem 5165

How many significant figures are in "60" from the conversion $60 \mathrm{~min}=1$ hour?

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Problem 5166

Select the correct sequence to convert days to seconds:
1. days $\rightarrow$ seconds
2. days $\rightarrow$ minutes $\rightarrow$ hours $\rightarrow$ seconds
3. days $\rightarrow$ hours $\rightarrow$ minutes $\rightarrow$ seconds
4. days $\rightarrow$ hours $\rightarrow$ seconds

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Problem 5167

What is the conversion factor to change 24 inches into feet?

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Problem 5168

Write the electron configuration for a sodium ion (Na $^+$ ).

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Problem 5169

How many significant figures are in "60" in the conversion $60 \mathrm{~min}=1$ hour? Options: 0, 1, 2, infinite.

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Problem 5170

Un poisson dans un lac voit un disque lumineux à la surface (indice $n=1.33$ ).
1) Expliquez pourquoi.
2) Si le rayon du disque est $r=3.0$ m, quelle est la profondeur du poisson ?

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Problem 5171

Explain how to represent division with 2-digit divisors in math problems.

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Problem 5172

Find which point among A. $(-9,-65)$ , B. $(-1,7)$ , C. $(0,8)$ , D. $(-2,12)$ , E. $(7,17)$ lies on the line through $(-3,13)$ and $(3,-5)$ .

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Problem 5173

Given the fraction $\frac{3}{5}$ :
1. Model it on a 10x10 grid.
2. Create a table of 5 equivalent ratios to 100.
3. Identify decimal and percent equivalents; explain errors in options A, B, D.
4. Find the number where $\frac{3}{5}$ of it equals 18.
5. Draw a number line for question 4.

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Problem 5174

Jordan flies 650 miles round-trip. How many trips must he make yearly to fly between 10400 and 28600 miles for Gold status? Express in interval notation.

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Problem 5175

Comet A's orbit is 187 years, 17 times Comet B's. Find Comet B's orbit length.

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Problem 5176

Estimate alcohol and marijuana use by US high school seniors in 2010 using $A=-0.9n+88$ and $M=0.1n+43$ .

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Problem 5177

Kenny jars 12 liters in 6 days. How many days for 20 liters? Use unit rates to find the answer.

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Problem 5178

Ling made 40 kg of dough in 10 hours. How much dough for 11 hours? Use unit rates to solve.

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Problem 5179

Emmet grew 42 plants with 14 seed packets. How many plants can he grow with 16 seed packets? Use unit rates to solve.

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Problem 5180

Hector took 20 quizzes in 2 weeks. How many quizzes will he have taken after 3 weeks? Use unit rates to solve.

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Problem 5181

Barbara walked 15 km in 3 trips. How far will she walk in 5 trips? Use unit rates to find the total kilometers.

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Problem 5182

Find three consecutive odd integers where the sum of the first, twice the second, and three times the third equals 22. The smallest is 1. What is the second largest?

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Problem 5183

Find three consecutive odd integers where the sum of the first, twice the second, and three times the third equals 22.

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Problem 5184

Is $\mathrm{SrCO}_{3}$ organic or inorganic?

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Problem 5185

List six items made of organic compounds from these options: vegetables, strawberry, bronze, wood, family dog, chalk, washing soda, plastic pipe, sugar, limestone.

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Problem 5186

Is vector $b$ a linear combination of $a_{1}, a_{2}, a_{3}$ ? Choose A, B, C, or D based on the echelon matrix pivots.

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Problem 5187

Find the side lengths of a square with a perimeter between 182 and 198 inches using $P=4s$ . Express in interval notation.

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Problem 5188

Describe the Span $\{\mathbf{v}_{1}, \mathbf{v}_{2}\}$ for $\mathbf{v}_{1}=\begin{bmatrix}4 \\ 10 \\ -2\end{bmatrix}$ and $\mathbf{v}_{2}=\begin{bmatrix}10 \\ 25 \\ -5\end{bmatrix}$ . Choose A, B, C, or D.

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Problem 5189

Find the value(s) of $h$ so that the vector $b = \left[\begin{array}{r}4 \\ -9 \\ h\end{array}\right]$ lies in the plane spanned by $a_{1} = \left[\begin{array}{r}1 \\ 3 \\ -1\end{array}\right]$ and $a_{2} = \left[\begin{array}{r}-6 \\ -11 \\ 2\end{array}\right]$ . The value(s) of $h$ is(are) $\square$ .

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Problem 5190

Calculate the absolute and relative change when support rises from $34\%$ to $55\%$ .

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Problem 5191

Create the augmented matrix for $A \mathbf{x} = \mathbf{b}$ , then solve for $\mathbf{x}$ as a vector. Given:
$A=\begin{bmatrix} 1 & 2 & -4 \\ -3 & -3 & 3 \\ 3 & 2 & 2 \end{bmatrix}, \; b=\begin{bmatrix} 4 \\ 3 \\ -8 \end{bmatrix}$

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Problem 5192

Find the absolute and relative change in a car's value from \$34,400 to \$31,900. Round answers to the nearest dollar and tenth percent.

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Problem 5193

Find the increase in carbon dioxide levels from 307 ppm in 1959 to 377 ppm in 2005, and calculate the percent increase. Round to the nearest tenth of a percent. Increase: parts per million, Percent increase: $\%$

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Problem 5194

Find the percentage differences in sales between Seattle ( $390,000$ ) and Portland ( $245,000$ ) for 2012.

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Problem 5195

A scientist measures $90.7 \mathrm{~kg}$ , while the true value is $60.0 \mathrm{~kg}$ . Find the absolute and relative error.

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Problem 5196

A scientist measures $218 \mathrm{kg}$ ; the true value is $200 \mathrm{kg}$ . Find absolute and relative error.

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Problem 5197

Find the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people/mi².

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Problem 5198

Calculate the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people per mi².

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Problem 5199

What fraction of New York's 65,000,000 visitors did Chicago's 58,000,000 represent? Calculate: $\frac{58,000,000}{65,000,000}$ .

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Problem 5200

Find the increase in Chicago's African American population from 44,103 to 233,903 between 1910 and 1930. Calculate the rate of change.

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Word Problems

Problem 5101

Find the equation of the line through (−1,−4)(-1,-4)(−1,−4) parallel to 3x+y=53x+y=53x+y=5. Choices: y=3x+1y=3x+1y=3x+1, y=−3x+7y=-3x+7y=−3x+7, y=−3x−7y=-3x-7y=−3x−7, y=3x−1y=3x-1y=3x−1.

Problem 5102

Ann invests \$40,000 at 4% compounded annually. Jim invests \$40,000 at 4% simple interest. Calculate their interest for 3 years and compare.

Problem 5103

Record the truck's mileage at various times. Identify independent (time) and dependent (mileage) variables.

Problem 5104

Find the equation of the line through (−2,3)(-2,3)(−2,3) and perpendicular to 5x−y=125x - y = 125x−y=12. Choose from the options.

Problem 5105

Reflect the point S(0,2)S(0,2)S(0,2) over the xxx-axis. What are the coordinates of S′S^{\prime}S′?

Problem 5106

Reflect the point T(−3,2)T(-3,2)T(−3,2) over the yyy-axis. What are the coordinates of T′T^{\prime}T′?

Problem 5107

Find the mass of Copper in Sample 2 (1.550 g) using the composition of Sample 1 (2.000 g, 0.9450 g Copper).

Problem 5108

What shape is formed by two non-collinear rays ABundefined\overrightarrow{A B}AB and ACundefined\overrightarrow{A C}AC?

Problem 5109

Problem 5110

What is the scale of Paco's drawing if the longest side is 5 inches and the original is 10 inches with a length of 4 in. : 5 yd?

Problem 5111

Tom deposits \$1800 in a bank with 8% continuous interest. How much will he have after 4 years? Round to the nearest cent.

Problem 5112

Calculate the mass of water produced when 1.234 g1.234 \mathrm{~g}1.234 g of butane reacts with 4.416 g4.416 \mathrm{~g}4.416 g of oxygen, generating 3.737 g3.737 \mathrm{~g}3.737 g of CO2\mathrm{CO}_{2}CO2​.

Problem 5113

Find the area of a poster with length 6x6x6x inches and width 5x+65x + 65x+6 inches. Simplify your expression.

Problem 5114

Sarah spins a four-sided spinner with numbers 0,1,1,30, 1, 1, 30,1,1,3. (i) What number is most likely to land? (ii) What's the probability of landing on 1 twice? (iii) Given 72916384\frac{729}{16384}16384729​ for landing on 3 on the nnnth spin, find nnn.

Problem 5115

Find the diagonal length of a monitor with dimensions 24 inches (length) and 18 inches (height) to the nearest inch. Use d=242+182d = \sqrt{24^2 + 18^2}d=242+182​.

Problem 5116

Identify the measures of central tendency: mean, mode, median. Check all that apply from the list provided.

Problem 5117

Describe A′A^{\prime}A′: the set of universities without a baseball team. Choose the correct option from A, B, C, or D.

Problem 5118

Solve the compound inequality: x−3≤6x-3 \leq 6x−3≤6 and x+2≥4x+2 \geq 4x+2≥4. Provide the solution set in interval and graph forms.

Problem 5119

Why is a dotplot ineffective for shark attack data? Which graph suits best: dotplot, stemplot, time-series, Pareto, pie, or frequency polygon?

Problem 5120

Problem 5121

Calculate the hourly temperature drop if it decreases by 24.8 degrees in 6146 \frac{1}{4}641​ hours.

Problem 5122

To find a matching pair of socks from two colors, explain why drawing three socks guarantees a match.

Problem 5123

Identify if these are statements and if true or false: a) Washington is a state. b) Run past the gym. c) 2x=62x=62x=6 d) 5+5=55+5=55+5=5.

Problem 5124

Find the converse, inverse, and contrapositive of: "If you visit your grandparents, then you can go to the park."

Problem 5125

If a statement and its converse are true, which forms (inverse, contrapositive) are also true? A, B, C, or D?

Problem 5126

How many pounds of chicken are needed for one serving if a recipe for 3 servings requires 3373 \frac{3}{7}373​ pounds?

Problem 5127

Determine if sets A={5,5,5,7,7,9,9,9}A=\{5,5,5,7,7,9,9,9\}A={5,5,5,7,7,9,9,9} and B={9,7,5}B=\{9,7,5\}B={9,7,5} are equivalent and equal. Explain your answers.

Problem 5128

Which sets can be matched one-to-one: a) {1,2,3,4,5}\{1,2,3,4,5\}{1,2,3,4,5} and {m,n,0,b,s}\{m,n,0,b,s\}{m,n,0,b,s}, b) {a,b,c,…,f}\{a,b,c,\ldots,f\}{a,b,c,…,f} and {2,4,6,…,10}\{2,4,6,\ldots,10\}{2,4,6,…,10}, c) letters in "jar" and {1,2,3,4}\{1,2,3,4\}{1,2,3,4}?

Problem 5129

Find the time for a \$2500 investment at 2.8\% interest, compounded quarterly, to grow to \$4000. Round to the nearest hundredth.

Problem 5130

Find the area of a poster with length 6x6x6x inches and width 5x+65x + 65x+6 inches.

Problem 5131

How many pitchers of lemonade does Molly need to serve 16 large glasses and 12 small glasses with none left over?

Problem 5132

A truck driver is 150 miles from his exit, driving at 50 mph. Find his min and max driving hours before a rest stop within 30 miles.

Problem 5133

If A⊆BA \subseteq BA⊆B and B⊆CB \subseteq CB⊆C, is A⊆CA \subseteq CA⊆C? Choose the correct response: B. Not necessarily true.

Problem 5134

Why is the correlation coefficient rrr called linear? Choose the correct answer: A, B, C, or D.

Problem 5135

Does a linear correlation between carbon dioxide concentration and global temperature imply causation? Choose A or B.

Problem 5136

Draw Utah to scale on paper, where 1 cm = 50 miles. Find Utah's length and width in miles first.

Problem 5137

What can Justin expect from his stock investment? A. no loss B. small interest C. high growth & dividends D. 5-year maturity

Problem 5138

Problem 5139

Solve the compound inequality: x+1≥5x+1 \geq 5x+1≥5 and x−2≤10x-2 \leq 10x−2≤10. Provide the solution in interval and graph forms.

Problem 5140

Find the length of OMOMOM given that OOO is the center of a circle, OA=20 cmOA=20 \mathrm{~cm}OA=20 cm, and AB=24 cmAB=24 \mathrm{~cm}AB=24 cm.

Problem 5141

Calculate and compare interest for Laura's compound and Eric's simple interest on \$70,000 at 3\% for 3 years.

Find the equation of the line through $(-1,-4)$ parallel to $3x+y=5$ . Choices: $y=3x+1$ , $y=-3x+7$ , $y=-3x-7$ , $y=3x-1$ .

Find the equation of the line through $(-2,3)$ and perpendicular to $5x - y = 12$ . Choose from the options.

Reflect the point $S(0,2)$ over the $x$ -axis. What are the coordinates of $S^{\prime}$ ?

Reflect the point $T(-3,2)$ over the $y$ -axis. What are the coordinates of $T^{\prime}$ ?

What shape is formed by two non-collinear rays $\overrightarrow{A B}$ and $\overrightarrow{A C}$ ?

Calculate the mass of water produced when $1.234 \mathrm{~g}$ of butane reacts with $4.416 \mathrm{~g}$ of oxygen, generating $3.737 \mathrm{~g}$ of $\mathrm{CO}_{2}$ .

Find the area of a poster with length $6x$ inches and width $5x + 6$ inches. Simplify your expression.

Sarah spins a four-sided spinner with numbers $0, 1, 1, 3$ .
(i) What number is most likely to land? (ii) What's the probability of landing on 1 twice? (iii) Given $\frac{729}{16384}$ for landing on 3 on the $n$ th spin, find $n$ .

Find the diagonal length of a monitor with dimensions 24 inches (length) and 18 inches (height) to the nearest inch. Use $d = \sqrt{24^2 + 18^2}$ .

Describe $A^{\prime}$ : the set of universities without a baseball team. Choose the correct option from A, B, C, or D.

Solve the compound inequality: $x-3 \leq 6$ and $x+2 \geq 4$ . Provide the solution set in interval and graph forms.

Calculate the hourly temperature drop if it decreases by 24.8 degrees in $6 \frac{1}{4}$ hours.

Identify if these are statements and if true or false: a) Washington is a state. b) Run past the gym. c) $2x=6$ d) $5+5=5$ .

How many pounds of chicken are needed for one serving if a recipe for 3 servings requires $3 \frac{3}{7}$ pounds?

Determine if sets $A=\{5,5,5,7,7,9,9,9\}$ and $B=\{9,7,5\}$ are equivalent and equal. Explain your answers.

Which sets can be matched one-to-one: a) $\{1,2,3,4,5\}$ and $\{m,n,0,b,s\}$ , b) $\{a,b,c,\ldots,f\}$ and $\{2,4,6,\ldots,10\}$ , c) letters in "jar" and $\{1,2,3,4\}$ ?

Find the area of a poster with length $6x$ inches and width $5x + 6$ inches.

If $A \subseteq B$ and $B \subseteq C$ , is $A \subseteq C$ ? Choose the correct response: B. Not necessarily true.

Why is the correlation coefficient $r$ called linear? Choose the correct answer: A, B, C, or D.

Solve the compound inequality: $x+1 \geq 5$ and $x-2 \leq 10$ . Provide the solution in interval and graph forms.

Find the length of $OM$ given that $O$ is the center of a circle, $OA=20 \mathrm{~cm}$ , and $AB=24 \mathrm{~cm}$ .

Find $x$ if $AP=x$ , $AB=16$ , $CP=4$ , and $DP=7$ using the intersecting chords theorem.

Find the equation of a line in point-slope form that passes through $(5,-3)$ with a slope of $-\frac{1}{2}$ .

Calculate the sample size $n$ and mean $M$ for scores: 52, 84, 80, 52, 92, 68, 56, 96, 64. Then find new $n$ and $M$ after adding 8 points.

Find the equation of a line in point-slope form with slope $\frac{1}{6}$ through the point $(10,2)$ .

Find the class boundaries for these age groups: $25-29$ , $30-34$ , $35-39$ , $40-44$ , $45-49$ , $50-54$ , $55-59$ .

Find the equation of a line in point-slope form with slope -4 through the point $(-3,8)$ . Simplify all fractions.

Find the equation of a line with slope 6 that passes through the point $(6,8)$ in point-slope form.

Find the equation of the line in point-slope form with point $(-9,9)$ and slope $\frac{1}{6}$ .

1. Calculate $1 \frac{3}{4}-\frac{4}{5}$ . What is the result?
2. Find the product of $\frac{3}{5}$ and $\frac{5}{6}$ in simplest form.
3. Convert 0.35 to a fraction in lowest terms.
4. Express 0.35 as a percentage.
5. Identify the equivalent of $2.3\%$ .

Pete has $x$ mice. After getting 4 more, he has $x + 4$ . Mal has $x + 4 - 15$ . If Mal has 10 mice, find $x$ .

Write an absolute value inequality for the RDI of $800 \mathrm{mg}$ with a variation of $\pm 80 \mathrm{mg}$ .

Find the probability that a 4-digit even number formed from $0,1,2,3,4,5$ is a multiple of 4, with repeated digits allowed.

Express the RDI of a supplement ( $800 \mathrm{mg}$ ) with a variation of $\pm 80 \mathrm{mg}$ using an absolute value inequality. Solve it.

How many significant figures are in "60" from the conversion $60 \mathrm{~min}=1$ hour?

Write the electron configuration for a sodium ion (Na $^+$ ).

How many significant figures are in "60" in the conversion $60 \mathrm{~min}=1$ hour? Options: 0, 1, 2, infinite.

Un poisson dans un lac voit un disque lumineux à la surface (indice $n=1.33$ ).
1) Expliquez pourquoi.
2) Si le rayon du disque est $r=3.0$ m, quelle est la profondeur du poisson ?

Find which point among A. $(-9,-65)$ , B. $(-1,7)$ , C. $(0,8)$ , D. $(-2,12)$ , E. $(7,17)$ lies on the line through $(-3,13)$ and $(3,-5)$ .

Given the fraction $\frac{3}{5}$ :
1. Model it on a 10x10 grid.
2. Create a table of 5 equivalent ratios to 100.
3. Identify decimal and percent equivalents; explain errors in options A, B, D.
4. Find the number where $\frac{3}{5}$ of it equals 18.
5. Draw a number line for question 4.