Word Problems

Problem 6101

Is it better to express a bull's weight as 1,700 pounds or $2.72 \times 10^{4}$ ounces? Justify your choice.

See Solution

Problem 6102

Which two expressions are equivalent? (A) $\left(\frac{5}{25}\right)x$ and $\left(\frac{1}{3}\right)x$ (B) $\left(\frac{1}{5}\right)x$ (C) $\left(\frac{1}{4}\right)x$ (D) $\left(\frac{1}{6}\right)x$

See Solution

Problem 6103

Convert 1 liter to milliliters using the fact that 1 liter $(\mathrm{L})=1000$ milliliters $(\mathrm{mL})$ .

See Solution

Problem 6104

Convert 3 yards to centimeters using the given conversion factors. Round to the nearest whole number.

See Solution

Problem 6105

Convert 2 cm to feet using the given conversion factors. Round to the nearest hundredth.

See Solution

Problem 6106

Find the difference in average speed (mph) between Roger, who ran 13.2 miles in 1.6 hours, and Ana, who ran 10.85 miles in 1.4 hours.

See Solution

Problem 6107

Convert 8 weeks to minutes using: 1 week = 7 days, 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.

See Solution

Problem 6108

A garden is 6 2/3 ft long and 2 2/3 ft wide. Each brick is 2/3 ft long. How many bricks does Juan need for the border?

See Solution

Problem 6109

Find the density in pounds per cubic foot for a material weighing 6900 grams per 4.5 quarts. Round to the nearest whole number.

See Solution

Problem 6110

Margot has $21 \frac{1}{2}$ lbs flour, 8 lbs butter, and $18 \frac{1}{2}$ lbs sugar. For 12 batches, how much per batch?

See Solution

Problem 6111

Convert a flow rate of 7 liters per 9.5 hours to pints per week. Round to the nearest whole number.

See Solution

Problem 6112

Convert a material's density of 430 kg/ft³ to g/cup, rounding to the nearest whole number using given conversion factors.

See Solution

Problem 6113

A number divided by 40 gives a quotient of 6 and a remainder of 15. Find the number.

See Solution

Problem 6114

A baker uses $13 \frac{1}{2}$ cups of flour for key lime bread, $2 \frac{1}{4}$ cups per loaf. How many loaves does she sell?

See Solution

Problem 6115

How many different car choices can you make with 3 body styles, 3 colors, and 6 models?

See Solution

Problem 6116

Kim made $1 \frac{1}{4}$ quarts of smoothie, drank $\frac{1}{5}$ of it, and her brothers had $\frac{1}{3}$ quart each. How many brothers?

See Solution

Problem 6117

Find the number of days when the cost of renting a truck from Company A ( $40d$ ) equals Company B ( $60 + 40d$ ). Show your work.

See Solution

Problem 6118

How many different car choices are there with 3 body styles, 3 colors, and 6 models?

See Solution

Problem 6119

Which equations equal $4(2+10)$ ? Choose all that apply: (1) $6+46$ , (ii) $6+6c$ , (c) $8 \times 40$ , (11) $8+40$ , (1) $(4 \times 2)+(4 \times 16)$ , (1) $(4 \times 2) \times(4 \times 10)$ .

See Solution

Problem 6120

Express "One does not think hard" symbolically, given $s$ : "One thinks hard".

See Solution

Problem 6121

Mara's golf ball traveled 492 feet, three times Lori's distance. How far did Lori's ball travel?

See Solution

Problem 6122

a. Rewrite "All playing cards are black." b. What is the negation: "Some playing cards are not black"?

See Solution

Problem 6123

Tyron harvested 6,680 pounds last year and 972 pounds less this year. How many pounds did he harvest this year?

See Solution

Problem 6124

Taco del Tierra has 3 tortillas, 3 meats, 3 cheeses, and 9 salsas. How many taco combinations can you make? $81$

See Solution

Problem 6125

A leader of two support groups tests depression levels. Group 1 mean: $\mu_{1}=15$ , Group 2 mean: $\mu_{2}=11$ . Find the weighted mean.
Then, for alcohol use, Group 1 mean: $\mu_{1}=16$ , Group 2 mean: $\mu_{2}=18$ . Find the weighted mean.

See Solution

Problem 6126

Sung needs to buy more candy to fill a pinata with 314 pieces, starting with 91 pieces. How much more does he need?

See Solution

Problem 6127

Find the number of text messages where the costs of the two plans, $\$ 29.94 + 0.10x$ and $\$ 32.99 + 0.05x$ , are equal.

See Solution

Problem 6128

Calculate the total possible license plates with 2 letters and 5 digits. Use: $26^2 \times 10^5$ .

See Solution

Problem 6129

Write the compound statement "I work hard or I do not get a raise" in symbolic form using $p$ and $q$ .

See Solution

Problem 6130

The black route is 4 times the length of the pink route. If the pink route is 28 feet, find the black route's length: $4 \times 28$ .

See Solution

Problem 6131

Find a lake that is 14,938 sq miles larger than Lake Ontario. Create a model and write a number sentence to solve it.

See Solution

Problem 6132

Find the cash flow to stockholders for Chen, Incorporated in 2022, given stock and surplus changes and \$154,000 in dividends.

See Solution

Problem 6133

Symbolically express: "It is time to sleep and the job does not pay well" using $p$ and $q$ .

See Solution

Problem 6134

Let $p$ : This is a kiwi. $q$ : This is a fruit. Write "If not $p$ , then not $q$ " in symbols.

See Solution

Problem 6135

A pianist has 3 pieces to arrange for a recital. How many different arrangements are possible?

See Solution

Problem 6136

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use $x$ as the variable.

See Solution

Problem 6137

A ship moves at 30 knots on a 64° bearing for 2 hours, then turns to 154° for 3 hours. Find the distance and bearing from start.

See Solution

Problem 6138

A pianist can arrange 3 pieces in how many different ways? Answer: $3!$

See Solution

Problem 6139

Calculate Social Security, Medicare taxes, and FIT for Jordon Barrett, earning \$12,400 monthly with prior earnings of \$142,020.

See Solution

Problem 6140

Let $p$ : I work hard, $q$ : I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

See Solution

Problem 6141

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using $p$ , $q$ , and $r$ .

See Solution

Problem 6142

Find the operating cash flow (OCF) for Graff, Inc. with sales \$42,380, costs \$13,740, depreciation \$2,990, interest \$2,180, tax rate 21%.

See Solution

Problem 6143

Write 2,368 in expanded and word form: $2,000 + 300 + 60 + 8$ and "two thousand three hundred sixty-eight."

See Solution

Problem 6144

In an 800 meter race with 7 runners, how many ways can they finish 1st, 2nd, and 3rd?

See Solution

Problem 6145

What is the money multiplier if the reserve rate is set to $5\%$ ? A. 50 B. 5 C. 20 D. 2

See Solution

Problem 6146

How many ways can 4 positions (President, VP, Secretary, Treasurer) be filled from 11 students?

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Problem 6147

In how many ways can 7 runners place 1st, 2nd, and 3rd in an 800 meter race?

See Solution

Problem 6148

What was Rottweiler Obedience School's net capital spending for 2022 given net fixed assets of \$1,795,000 and \$2,180,000 with \$335,000 depreciation? Round to the nearest whole number.

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Problem 6149

Write 2,368 in expanded form as $2000 + 300 + 60 + 8$ and in word form as "two thousand three hundred sixty-eight."

See Solution

Problem 6150

Bing, Inc. has assets of \$2,270 (current) + \$10,300 (fixed) and liabilities of \$1,400 (current) + \$4,080 (long-term). Find: a. Shareholders' equity b. Net working capital

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Problem 6151

Meghan's family has 8 glasses wearers. If the mean is 2 and SD is 1, how many standard deviations is she from the mean?

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Problem 6152

In a county of 5000, the Butler family is at the $18^{\text{th}}$ percentile and the Turner family at the $84^{\text{th}}$ . What can be inferred about their incomes?

See Solution

Problem 6153

Calculate Chen, Inc.'s cash flow to creditors for 2022 given long-term debt changes and interest expense:
Debt 2021: \$1,380,000, Debt 2022: \$1,540,000, Interest: \$92,000.

See Solution

Problem 6154

Find Chen, Inc.'s 2022 operating cash flow (OCF) given the financial data provided. Round to the nearest whole number.

See Solution

Problem 6155

1) Write the expression for $\frac{13}{t}$ , 2) $2x + 4$ , 3) $y - 10$ .

See Solution

Problem 6156

Write verbal expressions for the following: 4) $9 \cdot w$ 5) $2 \gamma - 5$ 6) $7 + 3 x$

See Solution

Problem 6157

Analyze the function $g(x)=3 x^{2}-6 x+7$ . Does it have a min or max? What is the value and where does it occur? $x=$

See Solution

Problem 6158

How deep is Lake Baikal if Crater Lake is 1,932 feet deep and Baikal is 3,383 feet deeper? Solve: $1,932 + 3,383$ .

See Solution

Problem 6159

How many ways can you choose 3 students from a class of 18 for a field trip?

See Solution

Problem 6160

CPI decreased by $5\%$ in the first four years and $10\%$ in the next. What condition existed in the second period? A. Deflation B. Inflation C. Conflation D. Stagnation

See Solution

Problem 6161

In 1980, CPI was 82.4 and Ivan's house cost \$ 71,900. What was its cost in 1970 when CPI was 38.8? A. \$ 33,900 B. \$ 38,000 C. \$ 38,800 D. \$ 82,400

See Solution

Problem 6162

Find the probability of selecting 12 jurors from 18 married and 17 not married people:
(a) all married; (b) all not married.
Provide answer as a fraction or decimal (4 places).

See Solution

Problem 6163

What is the cost difference for a one-night stay at Sleepy Head Motel with breakfast ( $\$ 142$ ) vs. without ( $\$ 119$ )?

See Solution

Problem 6164

Find the change in net working capital (NWC) from 2021 to 2022 using current assets and liabilities:
2021: assets = \$1,165, liabilities = \$945; 2022: assets = \$1,380, liabilities = \$1,055.

See Solution

Problem 6165

Find the length $y$ of a room's floor if its width is $y - 5$ and the perimeter is $4y + 1$ meters. Show your work.

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Problem 6166

A jury of 12 is chosen from 18 married and 17 not married. Find probabilities for: (a) all married, (b) all not married, (c) 8 married & 4 not married, (d) 6 married & 6 not married.

See Solution

Problem 6167

In a triangle, explain why angle trisectors can't trisect the opposite side.

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Problem 6168

What happens when we bisect any triangle's angle? How does the angle bisector divide the opposite side? Prove it.

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Problem 6169

Find probabilities for a 5-card hand from a 52-card deck: a. Exactly 2 kings: $P(2 \text{ Kings})=$ b. All 5 hearts: $P(\text{ All hearts})=$

See Solution

Problem 6170

Klingon Widgets has fixed assets of \$3.6M, liabilities of \$790K, and NWC of \$138K.
a. Find the book value of total assets. b. Calculate the sum of market value of NWC and fixed assets.

See Solution

Problem 6171

What is Mark's height if the boys are 152.0 cm, 150.75 cm, 149.5 cm, and 149.25 cm, with Josh being the shortest?

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Problem 6172

Find the supplement of an angle measuring $65^{\circ}$ and the complement of an angle measuring $29^{\circ}$ .

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Problem 6173

Un observateur sous-marin voit à travers un masque.
1) Quelle relation existe entre $r$ , $j$ et $\alpha$ ?
2) Le rayon peut-il se réfléchir en $J$ ?
3) Conditions sur $j$ et $\alpha$ pour que le rayon sorte en $M$ . Si $\alpha=20^{\circ}$ et $i=45^{\circ}$ , à quelle valeur de $\alpha$ disparaît-il ?

See Solution

Problem 6174

Find the probabilities for a 5-card hand from a 52-card deck:
a. Exactly 2 kings: $P(2 \text{ Kings})=0.0399$ b. All hearts: $P(\text{ All hearts})=0.000495$ c. Exactly 4 face cards: $P(4 \text{ Face Cards})=$

See Solution

Problem 6175

Four boys have heights of $152.0 \mathrm{~cm}, 150.75 \mathrm{~cm}, 149.5 \mathrm{~cm}$ , and $149.25 \mathrm{~cm}$ . Find Mark's height.

See Solution

Problem 6176

In $\triangle R S T$ , U divides $\overline{T S}$ in a $2:3$ ratio. M is the midpoint of $\overline{R U}$ . Find RV:RS.

See Solution

Problem 6177

What three numbers between 0.68 and 0.69 could Mario have written? Choose the correct option.

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Problem 6178

Check if line segments $\overline{AB}$ and $\overline{CD}$ are congruent using points $A(1,-1)$ , $B(-6,1)$ , $C(4,3)$ , $D(5,-4)$ . Use distance formula: $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

See Solution

Problem 6179

Find the probability of selecting 12 jurors from 18 married and 17 not married people: (a) all married, (b) all not married.

See Solution

Problem 6180

In triangle $ZEN$ , $\angle E$ is obtuse. Prove something about quadrilateral $ZNKJ$ formed by points $J$ and $K$ .

See Solution

Problem 6181

What three numbers did Mario write between 0.68 and 0.69? Choose the correct set: A. $0.686,0.693,0.694$ B. $0.693,0.694,0.698$ C. $0.682,0.686,0.688$ D. $0.682,0.688,0.694$

See Solution

Problem 6182

Theresa has \ $12 in nickels and quarters. Find the number of nickels ($ n $) and quarters ($ q $) she has, given$ 0.05n + 0.25q = 12$.

See Solution

Problem 6183

A jury has 18 married and 17 not married. Find probabilities for: (a) all married, (b) all not married, (c) 8 married & 4 not, (d) 6 married & 6 not.

See Solution

Problem 6184

Show that $(f \circ g)(x) \neq (g \circ f)(x)$ for $f(x)=8x-7$ and $g(x)=7x-8$ . Find both compositions.

See Solution

Problem 6185

Devon lost 3 pounds per month for 7 months. What is the total weight change? Use $3 \times 7$ .

See Solution

Problem 6186

Theresa has \$12 in nickels and quarters, with equal numbers of each. How many coins does she have?

See Solution

Problem 6187

Mr. Jansen's class has 16 students, and total admission was \$320 at \$8 each. How many students are in Mrs. Schmidt's class?

See Solution

Problem 6188

Point $S$ is the midpoint of $\overline{R T}$ . Given $R S=6 y+3$ and $S T=3 y+9$ , find $y$ , $R S$ , and $R T$ .

See Solution

Problem 6189

Calculate the atomic mass of magnesium using isotopes with masses $23.99$ , $24.99$ , and $25.98$ amu and abundances $78.99\%$ , $10.00\%$ , $11.01\%$ . Round to two decimal places.

See Solution

Problem 6190

Find $y$ if point $S$ is the midpoint of $\overline{R T}$ with $R S=6y+3$ and $S T=3y+9$ . Also find $R S$ and $R T$ .

See Solution

Problem 6191

Round $2,722$ to the closest ten.

See Solution

Problem 6192

Round the number $88,999$ to the closest ten.

See Solution

Problem 6193

Find the missing endpoint of segment $\overline{AB}$ given midpoint $M$ and one endpoint: 13. $M(2,5)$ , $A(2,3)$ ; 14. $M(-4,-4)$ , $B(-1,x_{2},y_{2})$ .

See Solution

Problem 6194

Round $706,421$ to the nearest ten.

See Solution

Problem 6195

Find point $P$ that divides segment $\overline{AB}$ with endpoints (6, 16) in ratio 4:1 and (-9, 6) in ratio 1:4.

See Solution

Problem 6196

Schulster's Shoes needs 1050 sq ft for offices and 600 sq ft for shipping. Shoes, Shoes, Shoes! needs 800 sq ft for offices and 400 sq ft for shipping. If Schulster's requires 5 sq ft per box and Shoes, Shoes, Shoes! needs 8 sq ft, solve for $x$ in: $1050 + 600 + 5x = 800 + 400 + 8x$

See Solution

Problem 6197

Given scores $S = \{21, 29, 32, 38, 38, 45, 50, 64, 72, 100\}$ , find mean, median, mode. Then, adjust for errors and removal.

See Solution

Problem 6198

Find the perimeter equation for a rectangle with perimeter $120 \mathrm{~cm}$ and solve for $x$ . Options: a. $2x+5+6x-1=120$ , b. $4(6x-1)=120$ , c. $2(6x-1)+2(2x+5)=120$ , d. $(2x+5)(6x-1)=120$ .

See Solution

Problem 6199

In a class of 200 students, boys to girls ratio is 2:3. Junior class has same boys, ratio is 5:4. Find junior class size.

See Solution

Problem 6200

Estimate the length of a human stride, given it's about $1.44 \mathrm{~m}$ . Choose: (A) $1 \cdot 10^{0} \mathrm{~m}$ or (B) $1 \cdot 10^{1} \mathrm{~m}$ .

See Solution

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Word Problems

Problem 6101

Is it better to express a bull's weight as 1,700 pounds or 2.72×1042.72 \times 10^{4}2.72×104 ounces? Justify your choice.

Problem 6102

Which two expressions are equivalent? (A) (525)x\left(\frac{5}{25}\right)x(255​)x and (13)x\left(\frac{1}{3}\right)x(31​)x (B) (15)x\left(\frac{1}{5}\right)x(51​)x (C) (14)x\left(\frac{1}{4}\right)x(41​)x (D) (16)x\left(\frac{1}{6}\right)x(61​)x

Problem 6103

Convert 1 liter to milliliters using the fact that 1 liter (L)=1000(\mathrm{L})=1000(L)=1000 milliliters (mL)(\mathrm{mL})(mL).

Problem 6104

Convert 3 yards to centimeters using the given conversion factors. Round to the nearest whole number.

Problem 6105

Convert 2 cm to feet using the given conversion factors. Round to the nearest hundredth.

Problem 6106

Find the difference in average speed (mph) between Roger, who ran 13.2 miles in 1.6 hours, and Ana, who ran 10.85 miles in 1.4 hours.

Problem 6107

Convert 8 weeks to minutes using: 1 week = 7 days, 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.

Problem 6108

A garden is 6 2/3 ft long and 2 2/3 ft wide. Each brick is 2/3 ft long. How many bricks does Juan need for the border?

Problem 6109

Find the density in pounds per cubic foot for a material weighing 6900 grams per 4.5 quarts. Round to the nearest whole number.

Problem 6110

Margot has 211221 \frac{1}{2}2121​ lbs flour, 8 lbs butter, and 181218 \frac{1}{2}1821​ lbs sugar. For 12 batches, how much per batch?

Problem 6111

Convert a flow rate of 7 liters per 9.5 hours to pints per week. Round to the nearest whole number.

Problem 6112

Convert a material's density of 430 kg/ft³ to g/cup, rounding to the nearest whole number using given conversion factors.

Problem 6113

A number divided by 40 gives a quotient of 6 and a remainder of 15. Find the number.

Problem 6114

A baker uses 131213 \frac{1}{2}1321​ cups of flour for key lime bread, 2142 \frac{1}{4}241​ cups per loaf. How many loaves does she sell?

Problem 6115

How many different car choices can you make with 3 body styles, 3 colors, and 6 models?

Problem 6116

Kim made 1141 \frac{1}{4}141​ quarts of smoothie, drank 15\frac{1}{5}51​ of it, and her brothers had 13\frac{1}{3}31​ quart each. How many brothers?

Problem 6117

Find the number of days when the cost of renting a truck from Company A (40d40d40d) equals Company B (60+40d60 + 40d60+40d). Show your work.

Problem 6118

How many different car choices are there with 3 body styles, 3 colors, and 6 models?

Problem 6119

Which equations equal 4(2+10)4(2+10)4(2+10)? Choose all that apply: (1) 6+466+466+46, (ii) 6+6c6+6c6+6c, (c) 8×408 \times 408×40, (11) 8+408+408+40, (1) (4×2)+(4×16)(4 \times 2)+(4 \times 16)(4×2)+(4×16), (1) (4×2)×(4×10)(4 \times 2) \times(4 \times 10)(4×2)×(4×10).

Problem 6120

Express "One does not think hard" symbolically, given sss: "One thinks hard".

Problem 6121

Mara's golf ball traveled 492 feet, three times Lori's distance. How far did Lori's ball travel?

Problem 6122

a. Rewrite "All playing cards are black." b. What is the negation: "Some playing cards are not black"?

Problem 6123

Tyron harvested 6,680 pounds last year and 972 pounds less this year. How many pounds did he harvest this year?

Problem 6124

Taco del Tierra has 3 tortillas, 3 meats, 3 cheeses, and 9 salsas. How many taco combinations can you make? 818181

Problem 6125

A leader of two support groups tests depression levels. Group 1 mean: μ1=15\mu_{1}=15μ1​=15, Group 2 mean: μ2=11\mu_{2}=11μ2​=11. Find the weighted mean. Then, for alcohol use, Group 1 mean: μ1=16\mu_{1}=16μ1​=16, Group 2 mean: μ2=18\mu_{2}=18μ2​=18. Find the weighted mean.

Problem 6126

Sung needs to buy more candy to fill a pinata with 314 pieces, starting with 91 pieces. How much more does he need?

Problem 6127

Find the number of text messages where the costs of the two plans, $29.94+0.10x\$ 29.94 + 0.10x$29.94+0.10x and $32.99+0.05x\$ 32.99 + 0.05x$32.99+0.05x, are equal.

Problem 6128

Calculate the total possible license plates with 2 letters and 5 digits. Use: 262×10526^2 \times 10^5262×105.

Problem 6129

Write the compound statement "I work hard or I do not get a raise" in symbolic form using ppp and qqq.

Problem 6130

The black route is 4 times the length of the pink route. If the pink route is 28 feet, find the black route's length: 4×284 \times 284×28.

Problem 6131

Find a lake that is 14,938 sq miles larger than Lake Ontario. Create a model and write a number sentence to solve it.

Problem 6132

Find the cash flow to stockholders for Chen, Incorporated in 2022, given stock and surplus changes and \$154,000 in dividends.

Problem 6133

Symbolically express: "It is time to sleep and the job does not pay well" using ppp and qqq.

Problem 6134

Let ppp: This is a kiwi. qqq: This is a fruit. Write "If not ppp, then not qqq" in symbols.

Problem 6135

A pianist has 3 pieces to arrange for a recital. How many different arrangements are possible?

Problem 6136

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use xxx as the variable.

Problem 6137

A ship moves at 30 knots on a 64° bearing for 2 hours, then turns to 154° for 3 hours. Find the distance and bearing from start.

Problem 6138

A pianist can arrange 3 pieces in how many different ways? Answer: 3!3!3!

Problem 6139

Calculate Social Security, Medicare taxes, and FIT for Jordon Barrett, earning \$12,400 monthly with prior earnings of \$142,020.

Problem 6140

Is it better to express a bull's weight as 1,700 pounds or $2.72 \times 10^{4}$ ounces? Justify your choice.

Which two expressions are equivalent? (A) $\left(\frac{5}{25}\right)x$ and $\left(\frac{1}{3}\right)x$ (B) $\left(\frac{1}{5}\right)x$ (C) $\left(\frac{1}{4}\right)x$ (D) $\left(\frac{1}{6}\right)x$

Convert 1 liter to milliliters using the fact that 1 liter $(\mathrm{L})=1000$ milliliters $(\mathrm{mL})$ .

Margot has $21 \frac{1}{2}$ lbs flour, 8 lbs butter, and $18 \frac{1}{2}$ lbs sugar. For 12 batches, how much per batch?

A baker uses $13 \frac{1}{2}$ cups of flour for key lime bread, $2 \frac{1}{4}$ cups per loaf. How many loaves does she sell?

Kim made $1 \frac{1}{4}$ quarts of smoothie, drank $\frac{1}{5}$ of it, and her brothers had $\frac{1}{3}$ quart each. How many brothers?

Find the number of days when the cost of renting a truck from Company A ( $40d$ ) equals Company B ( $60 + 40d$ ). Show your work.

Which equations equal $4(2+10)$ ? Choose all that apply: (1) $6+46$ , (ii) $6+6c$ , (c) $8 \times 40$ , (11) $8+40$ , (1) $(4 \times 2)+(4 \times 16)$ , (1) $(4 \times 2) \times(4 \times 10)$ .

Express "One does not think hard" symbolically, given $s$ : "One thinks hard".

Taco del Tierra has 3 tortillas, 3 meats, 3 cheeses, and 9 salsas. How many taco combinations can you make? $81$

A leader of two support groups tests depression levels. Group 1 mean: $\mu_{1}=15$ , Group 2 mean: $\mu_{2}=11$ . Find the weighted mean.
Then, for alcohol use, Group 1 mean: $\mu_{1}=16$ , Group 2 mean: $\mu_{2}=18$ . Find the weighted mean.

Find the number of text messages where the costs of the two plans, $\$ 29.94 + 0.10x$ and $\$ 32.99 + 0.05x$ , are equal.

Calculate the total possible license plates with 2 letters and 5 digits. Use: $26^2 \times 10^5$ .

Write the compound statement "I work hard or I do not get a raise" in symbolic form using $p$ and $q$ .

The black route is 4 times the length of the pink route. If the pink route is 28 feet, find the black route's length: $4 \times 28$ .

Symbolically express: "It is time to sleep and the job does not pay well" using $p$ and $q$ .

Let $p$ : This is a kiwi. $q$ : This is a fruit. Write "If not $p$ , then not $q$ " in symbols.

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use $x$ as the variable.

A pianist can arrange 3 pieces in how many different ways? Answer: $3!$

Let $p$ : I work hard, $q$ : I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using $p$ , $q$ , and $r$ .

Write 2,368 in expanded and word form: $2,000 + 300 + 60 + 8$ and "two thousand three hundred sixty-eight."

What is the money multiplier if the reserve rate is set to $5\%$ ? A. 50 B. 5 C. 20 D. 2

Write 2,368 in expanded form as $2000 + 300 + 60 + 8$ and in word form as "two thousand three hundred sixty-eight."

In a county of 5000, the Butler family is at the $18^{\text{th}}$ percentile and the Turner family at the $84^{\text{th}}$ . What can be inferred about their incomes?

Calculate Chen, Inc.'s cash flow to creditors for 2022 given long-term debt changes and interest expense:
Debt 2021: \$1,380,000, Debt 2022: \$1,540,000, Interest: \$92,000.

1) Write the expression for $\frac{13}{t}$ , 2) $2x + 4$ , 3) $y - 10$ .

Write verbal expressions for the following: 4) $9 \cdot w$ 5) $2 \gamma - 5$ 6) $7 + 3 x$

Analyze the function $g(x)=3 x^{2}-6 x+7$ . Does it have a min or max? What is the value and where does it occur? $x=$

How deep is Lake Baikal if Crater Lake is 1,932 feet deep and Baikal is 3,383 feet deeper? Solve: $1,932 + 3,383$ .

CPI decreased by $5\%$ in the first four years and $10\%$ in the next. What condition existed in the second period? A. Deflation B. Inflation C. Conflation D. Stagnation

Find the probability of selecting 12 jurors from 18 married and 17 not married people:
(a) all married; (b) all not married.
Provide answer as a fraction or decimal (4 places).

What is the cost difference for a one-night stay at Sleepy Head Motel with breakfast ( $\$ 142$ ) vs. without ( $\$ 119$ )?

Find the change in net working capital (NWC) from 2021 to 2022 using current assets and liabilities:
2021: assets = \$1,165, liabilities = \$945; 2022: assets = \$1,380, liabilities = \$1,055.

Find the length $y$ of a room's floor if its width is $y - 5$ and the perimeter is $4y + 1$ meters. Show your work.

Find probabilities for a 5-card hand from a 52-card deck: a. Exactly 2 kings: $P(2 \text{ Kings})=$ b. All 5 hearts: $P(\text{ All hearts})=$

Klingon Widgets has fixed assets of \$3.6M, liabilities of \$790K, and NWC of \$138K.
a. Find the book value of total assets. b. Calculate the sum of market value of NWC and fixed assets.

Find the supplement of an angle measuring $65^{\circ}$ and the complement of an angle measuring $29^{\circ}$ .