Word Problems

Problem 5401

Order these sets of numbers from least to greatest:
8. $\sqrt{200}, 14, \frac{41}{3}$
9. $\frac{2}{3}, \sqrt{\frac{9}{16}}, 0.6$

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Problem 5402

Abe sold 160 sq ft for \$878.40 and Bob sold 85 sq ft for \$466.65. Is cost proportional to area? Show calculations and explain.

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Problem 5403

For the function $f(x)=-x^{2}+8x$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

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Problem 5404

Abe's store sold 160 sq ft for \$878.40, Bob's sold 85 sq ft for \$466.65. Is cost proportional to area? Show work.

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Problem 5405

Dimitri's car gets 21 miles/gallon with a 12-gallon tank. Can he drive 202.4 miles? Show calculations and use dimensional analysis.

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Problem 5406

What is the cost of a 2.3 thousand GBP ticket in U.S. dollars at the exchange rate of 1 \$ = 0.82 GBP? Round to the nearest dollar. Show calculations.

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Problem 5407

Solve for the number in the equation: 9 - $\frac{x}{7} = -5$ .

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Problem 5408

Graph the function $f(x)=-x^{2}+6x$ : determine if it opens up or down, and find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 5409

A researcher wants to sample students from a high school.
(a) Describe a simple random sampling plan.
(b) Describe a systematic sampling plan.
(c) Does sampling from each grade create a stratified or cluster sample? Explain.

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Problem 5410

Si cuentas tus latidos desde la medianoche del 1 de enero de 2000, ¿cuándo alcanzarías el latido número $1,000,000$ y el $1,000,000,000$ ?

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Problem 5411

For the function $f(x)=-x^{2}+8x$ , find the $x$ -intercepts, $y$ -intercept, domain, and range.

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Problem 5412

Select pages from a book to count words, excluding equations.
a. Describe a simple random sampling method. b. Describe a stratified sampling method and justify your strata choice.

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Problem 5413

A car worth \ $22,500 decreases by \$3200 per year for 6 years. Define$ V(x) $for$ 0 \leq x \leq 6 $and find$ V(3)$.

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Problem 5414

Compare the sums $O = 3 + 5 + 7 + \ldots + 103$ and $E = 4 + 6 + 8 + \ldots + 104$ . Which is greater and by how much?

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Problem 5415

Determine which sum is greater: $O = 3 + 5 + 7 + \ldots + 103$ or $E = 4 + 6 + 8 + \ldots + 104$ , and by how much.

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Problem 5416

What percentage is $26 \mathrm{~g}$ of $208 \mathrm{~g}$ ?

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Problem 5417

Find the sums of these sequences using Gauss's method (no formulas): a. $1+2+3+\ldots+39$ b. $1+3+5+\ldots+2609$ c. $3+6+9+\ldots+300$ d. $1000+990+\ldots+10$

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Problem 5418

The pool drains at 3 inches/hour. After 5 hours, the depth is 32 inches. Find the point-slope equation.

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Problem 5419

A football team lost 5 yards on 3 plays. Use a number line to show the total change in field position.

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Problem 5420

Create a 3x3 magic square using the numbers 3, 6, 9, 12, 15, 18, 21, 24, and 27.

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Problem 5421

The Brandon household earns \$5,630 monthly. Calculate savings (10%), fixed expenses (32%), and variable expenses (56%). What remains after these allocations? Round to 2 decimal places.

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Problem 5422

Create a 3x3 magic square using 9 of the numbers: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29. Explain your solution and strategies.

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Problem 5423

Convert 452 joules to calories. What is the energy in calories, including the unit symbol?

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Problem 5424

How many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

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Problem 5425

How many mm are in 5 m?

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Problem 5426

Convert $-26.8^{\circ} \mathrm{F}$ to degrees Celsius. Provide the answer with the correct unit symbol.

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Problem 5427

A clinic gives 1136 vaccine doses in 16.8 hours. How many doses per hour is that? Round to the nearest whole number.

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Problem 5428

Explain how the function $f(x)=2|x+3|$ transforms from its parent function. (10 points)

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Problem 5429

What is the equivalent of $0.0009$ ?

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Problem 5430

How many kilocalories are in 3 cups of whole milk with 13.36g carbs, 3g fat, and 6g protein? Include unit symbol.

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Problem 5431

Convert 15:17:52 military time to regular time.

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Problem 5432

Calculate the total energy in kilocalories for 3 cups of whole milk with 13.36g carbs, 3.38g fat, 6.00g protein.

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Problem 5433

Find $x$ in the proportion $9: 14:: x: 56$ .

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Problem 5434

Calculate Beatrice's average speed for her journey of $3 \mathrm{~km}$ , walking at $4 \mathrm{~km/h}$ and $4.5 \mathrm{~km/h}$ .

See Solution

Problem 5435

Convert $-17.57^{\circ} \mathrm{C}$ to degrees Fahrenheit.

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Problem 5436

Calculate the total energy in kilocalories from 3 cups of whole milk with 13.36g carbs, 3.38g fat, 6.00g protein.

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Problem 5437

How many extra hours must Joe work to match Tim's earnings in 4 hours if Joe earns \$20/hour and Tim earns \$30/hour?

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Problem 5438

Find the first five terms for these sequences: a. $n^{2}+2$ b. $3n+1$ c. $10^{n}-7$ d. $5n-4$ Fill in: a. $\square, \square, \square, \square$ b. $\square, \square, \square, \square$ c. $\square, \square, \square, \square$ d. $\square, \square, \square, \square$

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Problem 5439

Joe's income grows by a constant amount each year. It was \$24,400 in year 1 and \$31,000 in year 7. When was it \$35,400?

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Problem 5440

Convert 651 joules to kilocalories. Include the unit symbol in your answer. Use the conversion: 1 kcal = 4184 J.

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Problem 5441

Compare toilet paper packages: Sam's Club (36 rolls, 248 sheets each, \$26.99) vs Walmart (8 rolls, 350 sheets each, \$5.99). Find sheets/dollar and cost/sheet.

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Problem 5442

When 9.5 grams of glucose yields $8.8 \mathrm{kcal}$ , how many kilojoules is that? Include the unit symbol.

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Problem 5443

Calculate the total energy in kJ for 4 cups of whole milk with 17.86 g carbs, 3.17 g fat, and 3.31 g protein.

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Problem 5444

Find the area of a rug measuring 8 ft by 12 ft and the cost per square foot if it costs \$ 590. Round to the nearest cent.

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Problem 5445

A cube with side $5.3 \mathrm{~cm}$ has a volume of $V$ and mass of 280g. Find density and determine if it floats in water.

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Problem 5446

Convert $-17.1^{\circ} \mathrm{F}$ to kelvins. Include the unit symbol in your final answer.

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Problem 5447

Convert $107.3^{\circ} \mathrm{F}$ to degrees Celsius and include the unit symbol in your answer.

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Problem 5448

Find the original cost of a train journey if the new cost is \$153.70 after a 6% increase.

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Problem 5449

Convert $12.4^{\circ} \mathrm{C}$ to degrees Fahrenheit. Include the unit symbol in your answer.

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Problem 5450

Ray bought a car for \$ 26,500 and options for \$ 725. With a 6% sales tax and \$ 50 fees, what is the total cost? A. \$ 27,275 B. \$ 28,865 C. \$ 28,911.50 D. \$ 28,908.50

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Problem 5451

Caroline bought 20 shares at $10.50$ each. After 10 months, they are worth $11.25$ each. What is her profit? A. \$225 B. \$210 C. \$15 D. \$10

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Problem 5452

Calculate the cost of a night at Barefoot Cay Resort in USD if it costs $3915 HL. Use rates$ 21.4 \mathrm{HL} / 1 $USD and$ 1 / 3915 \mathrm{HL}$. Round to the nearest dollar.

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Problem 5453

Find the cost of a Toronto car in USD using dimensional analysis. Choose the right fractions to cross-cancel units. Use $25000 \mathrm{CAD}$ and $1 \mathrm{USD} / 1.329 \mathrm{CAD}$ . Round to the nearest dollar.

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Problem 5454

Find the first year when percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ represent? A. Slope B. $x$ C. $y$ D. $y$ -intercept.

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Problem 5455

Find the cost of a \$25,000 CAD car in USD at an exchange rate of 1.329 CAD/USD, and compare it to a \$18,813 USD car.

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Problem 5456

Find the first year when beer shipment change is $-34\%$ using $y=-3.7x+25.9$ . What does $-34\%$ represent? A. y B. slope C. y-intercept D. x

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Problem 5457

Compare the value of two cars priced at \$18,813 in Toronto and Detroit to find the better buy.

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Problem 5458

A mug contains 220 grams of water. How many moles is this? Use the fractions 220 g/1 and 1 mole/18 g for your calculation. Round to one decimal place.

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Problem 5459

Find two fractions to calculate the cost per mile of driving, using 24 miles/gallon and \$2.30/gallon. Round to the nearest cent.

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Problem 5460

Select two fractions that, when multiplied, yield the cost per mile to drive, rounding to the nearest cent:
1 gallon / 2.30 dollars 2.30 dollars / 1 gallon 24 miles / 1 gallon 1 gallon / 24 miles
Find the cost in \$ per mile.

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Problem 5461

Find two fractions to multiply for the car's cost per mile, using 24 miles/gallon and gas at \$2.30/gallon.

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Problem 5462

Jo and Mo share \$26, with Jo getting \$5 more than Mo. What is the ratio of Jo's money to Mo's money in simplest form?

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Problem 5463

A patient needs 260 mg of acetaminophen. How many mL of Liquid Tylenol ( $325 \mathrm{mg} / 12.5 \mathrm{ml}$ ) is required? Choose the two correct fractions for dimensional analysis.

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Problem 5464

Find the mass of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ in grams with $1.00 \times 10^{12}$ hydrogen atoms. Round to 3 sig. figs.

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Problem 5465

A plane travels 4130 miles at 575 miles/hour. Find the time in hours and the two fractions for dimensional analysis.

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Problem 5466

At a camp with 197 campers, boys outnumber girls by 25. Each collected 83 pine cones. Total pine cones collected?

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Problem 5467

A pool holds $3.5 \times 10^{4}$ gallons. How many hours to fill it with a hose that delivers 630 gallons/hour? Round to whole number.

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Problem 5468

A patient needs 260 mg of acetaminophen. How many mL of Liquid Tylenol ( $325 \mathrm{mg} / 12.5 \mathrm{ml}$ ) is required?

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Problem 5469

Convert 25,000 CAD to USD using the exchange rate of 1 USD = 1.329 CAD. Identify the two fractions for dimensional analysis.

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Problem 5470

How many playing cards are in 679 decks if each deck has 52 cards? A) 4,753 B) 35,308 C) 35,298 D) 36,308

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Problem 5471

Find the degree of the polynomial $5 y^{4}+y^{3}+\frac{2}{3} y^{2}+y+1$ . A. 4 B. 2 C. 5

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Problem 5472

A night at Barefoot Cay Resort costs 3,915 HL. Convert to USD using $1 = 21.4 HL. Round to nearest dollar. Choose two fractions for dimensional analysis.

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Problem 5473

There were 197 campers, 25 more boys than girls, each collected 83 pine cones. Find total pine cones collected.

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Problem 5474

Is the Celsius temperature proportional to Fahrenheit? Use the formula $F = \frac{9}{5}C + 32$ for conversion.

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Problem 5475

Lorena's baby brother is 23 weeks old. How many hours old is he? A) 1,380 h B) 3,864 h C) 2,760 h D) 552 h

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Problem 5476

1. There were 197 campers, 25 more boys than girls, each collected 83 pine cones. Total pine cones collected?
2. A game shop got 679 decks of cards, each with 52 cards. Total cards in shipment?
3. Sadie brought 19 bags of pretzels, each with 38 pretzels. Total pretzels brought?
4. Lorena's baby brother is 23 weeks old. How many hours old is he?
5. A school sold 957 yearbooks, each with 104 pages for \$28. Total sales amount?
6. A store received 8,802 golf balls. Which box count could be true?

See Solution

Problem 5477

Lorena's baby brother is 23 weeks old. How many hours old is he? A $1,380 \mathrm{~h}$ B $3,864 \mathrm{~h}$ C $2,760 \mathrm{~h}$ D $552 \mathrm{~h}$

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Problem 5478

Determine the line equation that goes through points $P=(1,4)$ and $Q=(-1,-4)$ .

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Problem 5479

Calculate total yearbook sales from 957 yearbooks at \$28 each. Options: A \$27,796 B \$9,570 C \$26,796 D \$1,089.

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Problem 5480

Find the number of neutrons in a zinc atom with a mass number of 65. Use the formula: neutrons = mass number - protons ( $65 - 30$ ).

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Problem 5481

A store got 8,802 golf balls. Which option is possible? A) 517 boxes of 16 B) 486 boxes of 17 C) 522 boxes of 16 D) 489 boxes of 18

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Problem 5482

Find the missing score $x_6$ from $n=6$ scores ( $x_1=1, x_2=6, x_3=7, x_4=7, x_5=8$ ) with mean $M=5$ . Also, calculate total distances below and above the mean.

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Problem 5483

A pack of 8 candy bars weighs how much if one bar weighs 4.56 ounces? Calculate: $8 \times 4.56$ .

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Problem 5484

Find the distance between the top (55 ft) and bottom (385 ft) of the iceberg. Show your work.

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Problem 5485

A clown weighs $60 \mathrm{lb}$ more than a trapeze artist, who is two-thirds the clown's weight. Find their weights. Choices: $110, 120, 125$ .

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Problem 5486

Determine if the scores $2, 3, 3, 4, 9$ (mean $M = 5$ ) are above or below the median, given $n = 6$ .

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Problem 5487

Multiply integers with different signs. Find $-7(5)$ and $9(-13)$ . Show your work.

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Problem 5488

A store sells a 2.5-pound bag of mixed nuts for \$9.25. Check if these bags are proportional: a. 4.4 lbs for \$16.28, b. 3.2 lbs for \$12. Yes/No.

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Problem 5489

A helicopter descends at 275 ft/min. What is the altitude change after 7 minutes? Show your work.

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Problem 5490

Calculate the atomic mass of chlorine given isotopes: $91.51\%$ of ${ }^{35} \mathrm{Cl}$ ( $34.97 \mathrm{amu}$ ) and $24.57\%$ of ${ }^{37} \mathrm{Cl}$ ( $36.97 \mathrm{amu}$ ).

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Problem 5491

Find a domain where the function $f(x)=x^{2}-9$ is one-to-one and non-decreasing, then find its inverse.

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Problem 5492

Lunwabo needs R10 500 in 10 months. He invested R8 000 at $11.5\%$ simple interest. How much more does he need?

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Problem 5493

Calculate the time (in years) for R7 520 to grow to R9 841,80 at a simple interest rate of $9,5 \%$ . Options: a. 0,33 b. 13,78 c. 2,48 d. 3,25.

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Problem 5494

Find the area of a circle centered at the origin with radius 15 using $\pi \approx 3.14$ . Options: A. 47.1 B. 94.2 C. 225 D. 706.5 E. 2826

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Problem 5495

Find the radius of a circle with a circumference of $30 \mathrm{~cm}$ . Options: A. $2 \pi$ , B. $\frac{15}{\pi}$ , C. $\frac{30}{\pi}$ , D. 15, E. 30.

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Problem 5496

A firm needs to deposit now to pay R6,285 per coffee machine in 4 months with $8\%$ annual simple interest. How much?

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Problem 5497

You received 300 drug samples weekly, with 37 damaged. How many samples did you give away in four weeks? A. 900 B. 1,052 C. 1,163 D. 1,200 E. 9,900

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Problem 5498

Calculate the total miles logged by a paramedic this week: 112.34 on Monday, 84.27 each on Tue, Thu, Fri, and same as Mon on Wed.

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Problem 5499

How many total teachers and substitute teachers can be trained this week if there are 3 sessions for 163 teachers each and 97 substitutes?

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Problem 5500

Calculate total hours spent on a job by 5 workers (10 hours each) and 1 foreman (4 hours). Which expression is correct? F. $10 \times(4+5)$ G. $(4 \times 10)+5$ H. $10+5+4$ J. $5 \times 10$ K. $(5 \times 10)+4$

See Solution

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Word Problems

Problem 5401

Order these sets of numbers from least to greatest: 8. 200,14,413\sqrt{200}, 14, \frac{41}{3}200​,14,341​ 9. 23,916,0.6\frac{2}{3}, \sqrt{\frac{9}{16}}, 0.632​,169​​,0.6

Problem 5402

Abe sold 160 sq ft for \$878.40 and Bob sold 85 sq ft for \$466.65. Is cost proportional to area? Show calculations and explain.

Problem 5403

For the function f(x)=−x2+8xf(x)=-x^{2}+8xf(x)=−x2+8x, find its vertex, axis of symmetry, and intercepts. Does it open up or down?

Problem 5404

Abe's store sold 160 sq ft for \$878.40, Bob's sold 85 sq ft for \$466.65. Is cost proportional to area? Show work.

Problem 5405

Dimitri's car gets 21 miles/gallon with a 12-gallon tank. Can he drive 202.4 miles? Show calculations and use dimensional analysis.

Problem 5406

What is the cost of a 2.3 thousand GBP ticket in U.S. dollars at the exchange rate of 1 \$ = 0.82 GBP? Round to the nearest dollar. Show calculations.

Problem 5407

Solve for the number in the equation: 9 - x7=−5\frac{x}{7} = -57x​=−5.

Problem 5408

Graph the function f(x)=−x2+6xf(x)=-x^{2}+6xf(x)=−x2+6x: determine if it opens up or down, and find the vertex, axis of symmetry, yyy-intercept, and xxx-intercepts.

Problem 5409

A researcher wants to sample students from a high school. (a) Describe a simple random sampling plan. (b) Describe a systematic sampling plan. (c) Does sampling from each grade create a stratified or cluster sample? Explain.

Problem 5410

Si cuentas tus latidos desde la medianoche del 1 de enero de 2000, ¿cuándo alcanzarías el latido número 1,000,0001,000,0001,000,000 y el 1,000,000,0001,000,000,0001,000,000,000?

Problem 5411

For the function f(x)=−x2+8xf(x)=-x^{2}+8xf(x)=−x2+8x, find the xxx-intercepts, yyy-intercept, domain, and range.

Problem 5412

Select pages from a book to count words, excluding equations. a. Describe a simple random sampling method. b. Describe a stratified sampling method and justify your strata choice.

Problem 5413

A car worth \22,500decreasesby$3200peryearfor6years.Define22,500 decreases by \$3200 per year for 6 years. Define 22,500decreasesby$3200peryearfor6years.DefineV(x)for for for0 \leq x \leq 6andfind and find andfindV(3)$.

Problem 5414

Compare the sums O=3+5+7+…+103O = 3 + 5 + 7 + \ldots + 103O=3+5+7+…+103 and E=4+6+8+…+104E = 4 + 6 + 8 + \ldots + 104E=4+6+8+…+104. Which is greater and by how much?

Problem 5415

Determine which sum is greater: O=3+5+7+…+103O = 3 + 5 + 7 + \ldots + 103O=3+5+7+…+103 or E=4+6+8+…+104E = 4 + 6 + 8 + \ldots + 104E=4+6+8+…+104, and by how much.

Problem 5416

What percentage is 26 g26 \mathrm{~g}26 g of 208 g208 \mathrm{~g}208 g?

Problem 5417

Find the sums of these sequences using Gauss's method (no formulas): a. 1+2+3+…+391+2+3+\ldots+391+2+3+…+39 b. 1+3+5+…+26091+3+5+\ldots+26091+3+5+…+2609 c. 3+6+9+…+3003+6+9+\ldots+3003+6+9+…+300 d. 1000+990+…+101000+990+\ldots+101000+990+…+10

Problem 5418

The pool drains at 3 inches/hour. After 5 hours, the depth is 32 inches. Find the point-slope equation.

Problem 5419

A football team lost 5 yards on 3 plays. Use a number line to show the total change in field position.

Problem 5420

Create a 3x3 magic square using the numbers 3, 6, 9, 12, 15, 18, 21, 24, and 27.

Problem 5421

The Brandon household earns \$5,630 monthly. Calculate savings (10%), fixed expenses (32%), and variable expenses (56%). What remains after these allocations? Round to 2 decimal places.

Problem 5422

Create a 3x3 magic square using 9 of the numbers: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29. Explain your solution and strategies.

Problem 5423

Convert 452 joules to calories. What is the energy in calories, including the unit symbol?

Problem 5424

How many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

Problem 5425

How many mm are in 5 m?

Problem 5426

Convert −26.8∘F-26.8^{\circ} \mathrm{F}−26.8∘F to degrees Celsius. Provide the answer with the correct unit symbol.

Problem 5427

A clinic gives 1136 vaccine doses in 16.8 hours. How many doses per hour is that? Round to the nearest whole number.

Problem 5428

Explain how the function f(x)=2∣x+3∣f(x)=2|x+3|f(x)=2∣x+3∣ transforms from its parent function. (10 points)

Problem 5429

What is the equivalent of 0.00090.00090.0009?

Problem 5430

How many kilocalories are in 3 cups of whole milk with 13.36g carbs, 3g fat, and 6g protein? Include unit symbol.

Problem 5431

Convert 15:17:52 military time to regular time.

Problem 5432

Calculate the total energy in kilocalories for 3 cups of whole milk with 13.36g carbs, 3.38g fat, 6.00g protein.

Problem 5433

Find xxx in the proportion 9:14::x:569: 14:: x: 569:14::x:56.

Problem 5434

Calculate Beatrice's average speed for her journey of 3 km3 \mathrm{~km}3 km, walking at 4 km/h4 \mathrm{~km/h}4 km/h and 4.5 km/h4.5 \mathrm{~km/h}4.5 km/h.

Problem 5435

Convert −17.57∘C-17.57^{\circ} \mathrm{C}−17.57∘C to degrees Fahrenheit.

Problem 5436

Calculate the total energy in kilocalories from 3 cups of whole milk with 13.36g carbs, 3.38g fat, 6.00g protein.

Problem 5437

How many extra hours must Joe work to match Tim's earnings in 4 hours if Joe earns \$20/hour and Tim earns \$30/hour?

Problem 5438

Problem 5439

Joe's income grows by a constant amount each year. It was \$24,400 in year 1 and \$31,000 in year 7. When was it \$35,400?

Problem 5440

Convert 651 joules to kilocalories. Include the unit symbol in your answer. Use the conversion: 1 kcal = 4184 J.

Order these sets of numbers from least to greatest:
8. $\sqrt{200}, 14, \frac{41}{3}$
9. $\frac{2}{3}, \sqrt{\frac{9}{16}}, 0.6$

For the function $f(x)=-x^{2}+8x$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

Solve for the number in the equation: 9 - $\frac{x}{7} = -5$ .

Graph the function $f(x)=-x^{2}+6x$ : determine if it opens up or down, and find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

A researcher wants to sample students from a high school.
(a) Describe a simple random sampling plan.
(b) Describe a systematic sampling plan.
(c) Does sampling from each grade create a stratified or cluster sample? Explain.

Si cuentas tus latidos desde la medianoche del 1 de enero de 2000, ¿cuándo alcanzarías el latido número $1,000,000$ y el $1,000,000,000$ ?

For the function $f(x)=-x^{2}+8x$ , find the $x$ -intercepts, $y$ -intercept, domain, and range.

Select pages from a book to count words, excluding equations.
a. Describe a simple random sampling method. b. Describe a stratified sampling method and justify your strata choice.

A car worth \ $22,500 decreases by \$3200 per year for 6 years. Define$ V(x) $for$ 0 \leq x \leq 6 $and find$ V(3)$.

Compare the sums $O = 3 + 5 + 7 + \ldots + 103$ and $E = 4 + 6 + 8 + \ldots + 104$ . Which is greater and by how much?

Determine which sum is greater: $O = 3 + 5 + 7 + \ldots + 103$ or $E = 4 + 6 + 8 + \ldots + 104$ , and by how much.

What percentage is $26 \mathrm{~g}$ of $208 \mathrm{~g}$ ?

Find the sums of these sequences using Gauss's method (no formulas): a. $1+2+3+\ldots+39$ b. $1+3+5+\ldots+2609$ c. $3+6+9+\ldots+300$ d. $1000+990+\ldots+10$

Convert $-26.8^{\circ} \mathrm{F}$ to degrees Celsius. Provide the answer with the correct unit symbol.

Explain how the function $f(x)=2|x+3|$ transforms from its parent function. (10 points)

What is the equivalent of $0.0009$ ?

Find $x$ in the proportion $9: 14:: x: 56$ .

Calculate Beatrice's average speed for her journey of $3 \mathrm{~km}$ , walking at $4 \mathrm{~km/h}$ and $4.5 \mathrm{~km/h}$ .

Convert $-17.57^{\circ} \mathrm{C}$ to degrees Fahrenheit.

When 9.5 grams of glucose yields $8.8 \mathrm{kcal}$ , how many kilojoules is that? Include the unit symbol.

A cube with side $5.3 \mathrm{~cm}$ has a volume of $V$ and mass of 280g. Find density and determine if it floats in water.

Convert $-17.1^{\circ} \mathrm{F}$ to kelvins. Include the unit symbol in your final answer.

Convert $107.3^{\circ} \mathrm{F}$ to degrees Celsius and include the unit symbol in your answer.

Convert $12.4^{\circ} \mathrm{C}$ to degrees Fahrenheit. Include the unit symbol in your answer.

Caroline bought 20 shares at $10.50$ each. After 10 months, they are worth $11.25$ each. What is her profit? A. \$225 B. \$210 C. \$15 D. \$10

Calculate the cost of a night at Barefoot Cay Resort in USD if it costs $3915 HL. Use rates$ 21.4 \mathrm{HL} / 1 $USD and$ 1 / 3915 \mathrm{HL}$. Round to the nearest dollar.

Find the cost of a Toronto car in USD using dimensional analysis. Choose the right fractions to cross-cancel units. Use $25000 \mathrm{CAD}$ and $1 \mathrm{USD} / 1.329 \mathrm{CAD}$ . Round to the nearest dollar.

Find the first year when percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ represent? A. Slope B. $x$ C. $y$ D. $y$ -intercept.

Find the first year when beer shipment change is $-34\%$ using $y=-3.7x+25.9$ . What does $-34\%$ represent? A. y B. slope C. y-intercept D. x

Select two fractions that, when multiplied, yield the cost per mile to drive, rounding to the nearest cent:
1 gallon / 2.30 dollars 2.30 dollars / 1 gallon 24 miles / 1 gallon 1 gallon / 24 miles
Find the cost in \$ per mile.

A patient needs 260 mg of acetaminophen. How many mL of Liquid Tylenol ( $325 \mathrm{mg} / 12.5 \mathrm{ml}$ ) is required? Choose the two correct fractions for dimensional analysis.

Find the mass of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ in grams with $1.00 \times 10^{12}$ hydrogen atoms. Round to 3 sig. figs.

A pool holds $3.5 \times 10^{4}$ gallons. How many hours to fill it with a hose that delivers 630 gallons/hour? Round to whole number.

A patient needs 260 mg of acetaminophen. How many mL of Liquid Tylenol ( $325 \mathrm{mg} / 12.5 \mathrm{ml}$ ) is required?

Find the degree of the polynomial $5 y^{4}+y^{3}+\frac{2}{3} y^{2}+y+1$ . A. 4 B. 2 C. 5

Is the Celsius temperature proportional to Fahrenheit? Use the formula $F = \frac{9}{5}C + 32$ for conversion.