Word Problems

Problem 9701

A bell rings every 2 min and lights flash every 3 min. When did both occur together after the store opened at 1:00?

See Solution

Problem 9702

Find the times when a bell rings every 2 min and lights flash every $3 \mathrm{~min}$ after the store opens at $10:00$ .

See Solution

Problem 9703

What does the $S$ in SMART stand for? Choose 1 answer: (A) Solution (B) Specific (C) Simple (D) Stretch

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Problem 9704

Find the slope of the line through the points $(9,-8)$ and $(9,-5)$ .

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Problem 9705

What is the scale factor between figure 1 (area 6) and figure 2 (area 294)? Show your reasoning.

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Problem 9706

Find the perimeter of equilateral triangle $KLM$ with vertices $K(-2,1)$ and $M(10,6)$ . Use the Distance Formula to find $KM$ and then $P$ .

See Solution

Problem 9707

Reflect the graph of $f(x)=x^{3}$ about the $x$ -axis, shift it down 9 and right 2. Find $g(x)$ .

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Problem 9708

How much will \ $12,000 grow in 5 years at 2% interest compounded semiannually? Use$ A=P\left(1+\frac{r}{m}\right)^{mt}$.

See Solution

Problem 9709

The area of figure 1 is 20 sq. units. With a scale factor of 3, what is the area of figure 2? Explain your reasoning.

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Problem 9710

Insert $<$ or $>$ in the shaded areas: a) 7 _ 12, b) -7 _ -12.

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Problem 9711

Find the line equation with slope $m$ through point (4,4). Answer in slope-intercept form: $m=-\frac{2}{3}$ .

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Problem 9712

Graph the function $g$ by reflecting $f(x)=x^{2}$ about the $x$ -axis, then shifting up 2 and left 4. Find $g(x)$ .

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Problem 9713

Estimate the standard deviation $s$ using the range rule for brain volumes from $904 \mathrm{~cm}^{3}$ to $1478 \mathrm{~cm}^{3}$ . Compare to $164.8 \mathrm{~cm}^{3}$ . Estimate $s = \square \mathrm{cm}^{3}$ .

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Problem 9714

Find the point that is $\frac{3}{10}$ of the way from $A(-3,-6)$ to $B(10,5)$ .

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Problem 9715

Describe how to generate the next terms in the pattern: A: $5, 8, 11, 14, 17, \ldots$

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Problem 9716

Find the average cost per item for manufacturing 90 items if $C=600+30x$ .

See Solution

Problem 9717

If figure 1 has an area of 15 square units and a scale factor of 5, what is the area of figure 2?

See Solution

Problem 9718

Find the snow depth, $d$ , on January 30 using the equation $d=-2t+64$ , where $t$ is days since Dec 31.

See Solution

Problem 9719

What payment method involves paying for an item in full upfront? Choose one: (A) rent-to-own, (B) layaway, (C) cash, (D) credit card.

See Solution

Problem 9720

Insert $<$ or $>$ between the numbers to make the statement true: $\frac{6}{11} \square \frac{2}{9}$ .

See Solution

Problem 9721

The area of figure 2 is $15 \times 5^2 = 375$ square units. The area scales with the square of the factor.

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Problem 9722

The area of figure 2 is what if figure 1 has an area of 15 square units and a scale factor of 5?

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Problem 9723

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using $d=\frac{m}{v}$ . Mass: g

See Solution

Problem 9724

Find the width of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ , using $240 \mathrm{yd}$ of fencing.

See Solution

Problem 9725

Calculate the nitrogen monoxide production rate in kg/s when 499 L/s of dioxygen is used at $174 .{ }^{\circ} \mathrm{C}$ and $0.74 \mathrm{~atm}$ . Round to 2 significant digits.

See Solution

Problem 9726

Find the opposite of the number 8. The opposite of 8 is $-8$ .

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Problem 9727

Find the hours when total costs of ski rentals from Shop A ( $3 + 9h$ ) and Shop B ( $9 + 6h$ ) are equal.

See Solution

Problem 9728

Find the width $w$ of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ and perimeter $240 \mathrm{yd}$ .

See Solution

Problem 9729

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

See Solution

Problem 9730

Find the greatest common factor (GCF) for: a) 150, 275, 420 b) 120, 960, 1400 c) 126, 210, 546, 714 d) 220, 308, 484, 988 Then find the least common multiple (LCM) for each.

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Problem 9731

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

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Problem 9732

Identify the rule for generating terms in these sequences: a. Pattern A: 5, 8, 11, 14, 17, ... b. Pattern B: $\frac{1}{2}, 1, 2, 4, 8, ...$

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Problem 9733

Check if Rebecca's five pairs of like terms are correct and fix any mistakes: $2.5 w$ and $-8 w$ , $\frac{1}{2}$ and $\frac{1}{2}$ , 38 and -15, $-7 c^{2}$ and $c^{2}$ , $5 a$ and $5 b$ .

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Problem 9734

What score does Paul need on his third test to average at least $80$ if he scored 83 and 75 on the first two tests?

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Problem 9735

Which thermometer shows a higher temperature: A at 75°F or B at 22°C?

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Problem 9736

Compare temperatures: $A = 75^\circ F$ and $B = 22^\circ C$ . Which is higher? A or B?

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Problem 9737

Find the minimum number of backpacks $x$ to sell for profit where $C=98x+7,809$ and $R=190x$ . Choices: A. 718,428 B. \$2,248,992 C. 85 D. 29

See Solution

Problem 9738

Vergleiche die folgenden Zahlenpaare und schreibe die größere Zahl auf: a) 530 oder 503, b) 460 oder 640, c) 617 oder 671, d) 122 oder 221, e) 1100 oder 1110, f) 835 oder 853, g) 565 oder 556, h) $409$ oder $4009$ .

See Solution

Problem 9739

Keiko deposits \$9500 at 17% annual interest. Find the account balance after 1 year and after 2 years.

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Problem 9740

A plane flies at 200 mph for 225 miles ± 50 miles. Find the min and max travel time in hours. At least $h$ and at most $h$ .

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Problem 9741

Welche Karten für die Zahlen? a) 920 b) 811 c) 478

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Problem 9742

Estimate the number of employees in educational services in 2010, given 14.5 million in 2005 and 16.5 million in 2014. Use a linear model.

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Problem 9743

Find an expression to determine how much Muhundan owes after borrowing \$ 213 and repaying \$ 130. He owes \$ \square.

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Problem 9744

There are 48 trails in total, with $37.5\%$ being beginner trails. Find the number of expert trails.

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Problem 9745

In an obtuse triangle, sides are $(x-5)$ in, $6$ in, and $\frac{x}{2}$ in with a perimeter of $13$ in. Find the shortest side.

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Problem 9746

Sarah's net income is \$1764.72 and taxes are \$158.04. Find her gross income for the week.

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Problem 9747

How much warmer is $129^{\circ} \mathrm{F}$ than $-119^{\circ} \mathrm{F}$ ? $129^{\circ} \mathrm{F}$ is $\square$ degrees warmer.

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Problem 9748

Find the solutions to the inequality $14 < 7 + t$ . Choose all that apply: $t=8$ , $t=7$ , $t=5$ , $t=10$ .

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Problem 9749

Find the solutions for the inequality $-12 + 10g > -72$ . Which values of $g$ are valid? Options: $g=9$ , $g=-12$ , $g=11$ , $g=-5$ .

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Problem 9750

What is the total amount Ron deposited if he put in $\$ 13645$ on Tuesday and $\$ 6880$ on Wednesday?

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Problem 9751

You spend \$132 on 5 cans of paint: white at \$24/can and blue at \$28/can. How much would you save by switching colors?

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Problem 9752

Find 5 - 14. What is the result?

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Problem 9753

Find $\frac{3}{7} - \frac{4}{9}$ . What is the result?

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Problem 9754

Use the Empirical Rule. If the mean speed is 63 mph and the SD is 5 mph, estimate the percent of vehicles between 58 mph and 68 mph.

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Problem 9755

Find the smallest square size for $18 \mathrm{~cm}$ by $24 \mathrm{~cm}$ tiles. Can they cover a $6.48 \mathrm{~m}$ by $15.12 \mathrm{~m}$ floor?

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Problem 9756

Estimate the number of farms with land and building values per acre between \$900 and \$1500 using the empirical rule.

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Problem 9757

The mean land value is \$1200, SD is \$300, and sample size is 79. Estimate farms with values between \$900 and \$1500.

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Problem 9758

Round Wrigley Field's seating capacity of 41,649 to the nearest ten thousand.

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Problem 9759

Find the distance between 10 and -5 on a number line, calculated as $|10 - (-5)|$ .

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Problem 9760

A submarine was 1800 ft below sea level and dove 1500 ft deeper. What is its new depth? Options: 300, -1300, -3300, -300.

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Problem 9761

Jacob has 298 baseball cards and Jared has 321. How many cards do they have in total? Calculate $298 + 321$ .

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Problem 9762

Find $a$ and $b$ so that $(3a-27)^\circ + (2b+14)^\circ = 90^\circ$ . Round to the nearest whole number.

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Problem 9763

Round $4,569,325$ views to the nearest million.

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Problem 9764

Rays BA and BC are perpendicular. Given m∠ABD=(3x+5)° and m∠DBC=(5x-27)°, find x, m∠ABD, and m∠DBC.
x= m∠ABD= m∠DBC=

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Problem 9765

What digit in $254,608,391$ represents the ten millions place? The answer is 5.

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Problem 9766

Divide -21 by -3. What is the result?

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Problem 9767

Find Julia's unit rate of free throws made per minute during the game.

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Problem 9768

Find $m$ if $m \angle A B C=(3m-15)^{\circ}$ and $m \angle A B D=(5m+59)^{\circ}$ are supplementary.

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Problem 9769

Amelia's total bill is $8.79 + 2.59 + 2.99. How much does she owe after tax?

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Problem 9770

Lucy's dog lost 6 pounds. How much must it gain for a net change of 0 pounds?

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Problem 9771

Find the length of one side of a square with an area of 400 square feet. Answer in feet.

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Problem 9772

Order these numbers from least to greatest: $31.4\%$ , $-9.7$ , $-\frac{7}{8}$ .

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Problem 9773

Determine if the quotient $0 \div 5248$ is positive, zero, negative, or undefined. Then find the quotient and check its reasonableness.

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Problem 9774

Determine the eye color phenotypes for these genotypes: A. BB, B. $\mathrm{bb}$ , C. $\mathrm{Bb}$ .

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Problem 9775

How many animals are in the zoo if there are 72 birds, 58 monkeys, and 12 elephants? Calculate: $72 + 58 + 12$ .

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Problem 9776

Susie slept 480 minutes on Monday and 540 minutes on Tuesday. Find the total sleep time: $480 + 540$ .

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Problem 9777

Determine the quotient of $0 \div 5248$ and whether it is positive, negative, zero, or undefined. What is the answer?

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Problem 9778

Find the value of $\frac{a^{3}-b^{3}}{5}$ for $a=2$ and $b=-3$ . Options: $-3 \frac{4}{5}$ , $-\frac{3}{5}$ , 3, 7.

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Problem 9779

Determine if the quotient $0 \div 5248$ is positive, zero, negative, or undefined. Then find and evaluate the quotient.

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Problem 9780

What is the result of $9.8 \div 0$ ? Choose: A. negative, B. undefined, C. zero, D. positive.

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Problem 9781

Find the number of oxygen atoms in 22 molecules of dinitrogen tetroxide, $N_2O_4$ .

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Problem 9782

Determine if $9.8 \div 0$ is positive, zero, negative, or undefined. What is the quotient?

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Problem 9783

Let the number of schools in 2006 be 98,825 and in 2010 be 97,241. Write an inequality: 98,825 > 97,241.

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Problem 9784

You drew 48 vials of blood, sent 12 to the lab. How many crates of 4 can you pack with the rest? Choose the right expression.

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Problem 9785

Which option has the most moles of oxygen atoms: A) $1 \mathrm{~mol}$ of $\mathrm{Fe}\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right)_{3}$ , B) $1 \mathrm{~mol}$ of $\mathrm{Na}_{3} \mathrm{PO}_{4}$ , C) $2 \mathrm{~mol}$ of $\mathrm{Ca}\left(\mathrm{NO}_{2}\right)_{2}$ , or D) $3 \mathrm{~mol}$ of $\mathrm{CH}_{3} \mathrm{OH}$ ?

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Problem 9786

What is the empirical formula of toluene ( $\mathrm{C}_{7} \mathrm{H}_{8}$ )? A) $\mathrm{CH}$ B) $\mathrm{C}_{7} \mathrm{H}_{8}$ C) $\mathrm{CH}_{3}$ D) $\mathrm{C}_{8} \mathrm{H}_{7}$ E) $\mathrm{C}_{3} \mathrm{H}_{4}$

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Problem 9787

Determine if $9.8 \div 0$ is positive, zero, negative, or undefined. What is the quotient? Is it reasonable?

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Problem 9788

What is the empirical formula for styrene $\left(\mathrm{C}_{8} \mathrm{H}_{8}\right)$ ? A) $\mathrm{CH}_{4}$ B) $\mathrm{CH}_{3}$ C) $\mathrm{CH}$ D) $\mathrm{C}_{6} \mathrm{H}_{6}$ E) $\mathrm{CH}_{2}$

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Problem 9789

Calculate the client's monthly premium for homeowner's insurance (\$4,527), rider (\$358), and auto insurance (\$1,298).

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Problem 9790

A student loses 6 points per wrong answer. If they got 2 wrong: a) How many points lost (as negative)? b) What's their score out of 100? a) Points lost: $-12$ .

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Problem 9791

Find the missing numbers that combine with $60, 2700, 20, 9$ , and $5471$ to total $11000$ and $300$ .

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Problem 9792

You have 20 crates of 200 diapers each. After returning 40 defective ones, how many boxes of 40 can you pack?

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Problem 9793

Which algebraic expression equals $3(2 x-8)-11 x$ ? A. $-5 x-24$ B. $-17 x-24$ C. $-5 x-8$ D. $-17 x+24$

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Problem 9794

How many reports do you need to send if 8 board members get 2 copies each and 20 employees get 1 copy? A. $8 + 20$ B. $8 + 20 + 2 + 1$ C. $(8 + 2) \times (20 + 1)$ D. $(8 \times 2) + (20 \times 1)$ E. $(20 \times 8) + (2 \times 1)$

See Solution

Problem 9795

Find the average number of box springs completed over 3 days (136, 165, 149) and estimate for 5 days. Choices: F. 90, G. 150, H. 450, J. 750, K. 1,050.

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Problem 9796

Expand $984,726,005$ in notation form.

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Problem 9797

Determine if $4.8 \div 0$ is positive, negative, zero, or undefined. What is the quotient? A. positive B. negative C. undefined D. zero

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Problem 9798

Find arrangements of 5 letters from 'LANGSIR' starting with a vowel.

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Problem 9799

Four hundred sixty-nine and eight hundredths is written as: A. 460.908 B. 460.98 C. 469.08 D. 469.800

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Problem 9800

Is the total cost of renting a popcorn machine for \$20 per hour plus a \$32 fee proportional to the hours rented?

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1 ...95 96 97 98 99 100 101

Word Problems

Problem 9701

A bell rings every 2 min and lights flash every 3 min. When did both occur together after the store opened at 1:00?

Problem 9702

Find the times when a bell rings every 2 min and lights flash every 3 min3 \mathrm{~min}3 min after the store opens at 10:0010:0010:00.

Problem 9703

What does the SSS in SMART stand for? Choose 1 answer: (A) Solution (B) Specific (C) Simple (D) Stretch

Problem 9704

Find the slope of the line through the points (9,−8)(9,-8)(9,−8) and (9,−5)(9,-5)(9,−5).

Problem 9705

What is the scale factor between figure 1 (area 6) and figure 2 (area 294)? Show your reasoning.

Problem 9706

Find the perimeter of equilateral triangle KLMKLMKLM with vertices K(−2,1)K(-2,1)K(−2,1) and M(10,6)M(10,6)M(10,6). Use the Distance Formula to find KMKMKM and then PPP.

Problem 9707

Reflect the graph of f(x)=x3f(x)=x^{3}f(x)=x3 about the xxx-axis, shift it down 9 and right 2. Find g(x)g(x)g(x).

Problem 9708

How much will \12,000growin5yearsat212,000 grow in 5 years at 2% interest compounded semiannually? Use 12,000growin5yearsat2A=P\left(1+\frac{r}{m}\right)^{mt}$.

Problem 9709

The area of figure 1 is 20 sq. units. With a scale factor of 3, what is the area of figure 2? Explain your reasoning.

Problem 9710

Insert <<< or >>> in the shaded areas: a) 7 ___ 12, b) -7 ___ -12.

Problem 9711

Find the line equation with slope mmm through point (4,4). Answer in slope-intercept form: m=−23m=-\frac{2}{3}m=−32​.

Problem 9712

Graph the function ggg by reflecting f(x)=x2f(x)=x^{2}f(x)=x2 about the xxx-axis, then shifting up 2 and left 4. Find g(x)g(x)g(x).

Problem 9713

Estimate the standard deviation sss using the range rule for brain volumes from 904 cm3904 \mathrm{~cm}^{3}904 cm3 to 1478 cm31478 \mathrm{~cm}^{3}1478 cm3. Compare to 164.8 cm3164.8 \mathrm{~cm}^{3}164.8 cm3. Estimate s=□cm3s = \square \mathrm{cm}^{3}s=□cm3.

Problem 9714

Find the point that is 310\frac{3}{10}103​ of the way from A(−3,−6)A(-3,-6)A(−3,−6) to B(10,5)B(10,5)B(10,5).

Problem 9715

Describe how to generate the next terms in the pattern: A: 5,8,11,14,17,…5, 8, 11, 14, 17, \ldots5,8,11,14,17,…

Problem 9716

Find the average cost per item for manufacturing 90 items if C=600+30xC=600+30xC=600+30x.

Problem 9717

If figure 1 has an area of 15 square units and a scale factor of 5, what is the area of figure 2?

Problem 9718

Find the snow depth, ddd, on January 30 using the equation d=−2t+64d=-2t+64d=−2t+64, where ttt is days since Dec 31.

Problem 9719

What payment method involves paying for an item in full upfront? Choose one: (A) rent-to-own, (B) layaway, (C) cash, (D) credit card.

Problem 9720

Insert <<< or >>> between the numbers to make the statement true: 611□29\frac{6}{11} \square \frac{2}{9}116​□92​.

Problem 9721

The area of figure 2 is 15×52=37515 \times 5^2 = 37515×52=375 square units. The area scales with the square of the factor.

Problem 9722

The area of figure 2 is what if figure 1 has an area of 15 square units and a scale factor of 5?

Problem 9723

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using d=mvd=\frac{m}{v}d=vm​. Mass: g

Problem 9724

Find the width of a rectangular enclosure with area ≥2700yd2\geq 2700 \mathrm{yd}^{2}≥2700yd2, using 240yd240 \mathrm{yd}240yd of fencing.

Problem 9725

Calculate the nitrogen monoxide production rate in kg/s when 499 L/s of dioxygen is used at 174.∘C174 .{ }^{\circ} \mathrm{C}174.∘C and 0.74 atm0.74 \mathrm{~atm}0.74 atm. Round to 2 significant digits.

Problem 9726

Find the opposite of the number 8. The opposite of 8 is −8-8−8.

Problem 9727

Find the hours when total costs of ski rentals from Shop A (3+9h3 + 9h3+9h) and Shop B (9+6h9 + 6h9+6h) are equal.

Problem 9728

Find the width www of a rectangular enclosure with area ≥2700yd2\geq 2700 \mathrm{yd}^{2}≥2700yd2 and perimeter 240yd240 \mathrm{yd}240yd.

Problem 9729

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

Problem 9730

Find the greatest common factor (GCF) for: a) 150, 275, 420 b) 120, 960, 1400 c) 126, 210, 546, 714 d) 220, 308, 484, 988 Then find the least common multiple (LCM) for each.

Problem 9731

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

Problem 9732

Identify the rule for generating terms in these sequences: a. Pattern A: 5, 8, 11, 14, 17, ... b. Pattern B: 12,1,2,4,8,...\frac{1}{2}, 1, 2, 4, 8, ...21​,1,2,4,8,...

Problem 9733

Check if Rebecca's five pairs of like terms are correct and fix any mistakes: 2.5w2.5 w2.5w and −8w-8 w−8w, 12\frac{1}{2}21​ and 12\frac{1}{2}21​, 38 and -15, −7c2-7 c^{2}−7c2 and c2c^{2}c2, 5a5 a5a and 5b5 b5b.

Problem 9734

What score does Paul need on his third test to average at least 808080 if he scored 83 and 75 on the first two tests?

Problem 9735

Which thermometer shows a higher temperature: A at 75°F or B at 22°C?

Problem 9736

Compare temperatures: A=75∘FA = 75^\circ FA=75∘F and B=22∘CB = 22^\circ CB=22∘C. Which is higher? A or B?

Problem 9737

Find the minimum number of backpacks xxx to sell for profit where C=98x+7,809C=98x+7,809C=98x+7,809 and R=190xR=190xR=190x. Choices: A. 718,428 B. \$2,248,992 C. 85 D. 29

Problem 9738

Vergleiche die folgenden Zahlenpaare und schreibe die größere Zahl auf: a) 530 oder 503, b) 460 oder 640, c) 617 oder 671, d) 122 oder 221, e) 1100 oder 1110, f) 835 oder 853, g) 565 oder 556, h) 409409409 oder 400940094009.

Problem 9739

Keiko deposits \$9500 at 17% annual interest. Find the account balance after 1 year and after 2 years.

Problem 9740

Find the times when a bell rings every 2 min and lights flash every $3 \mathrm{~min}$ after the store opens at $10:00$ .

What does the $S$ in SMART stand for? Choose 1 answer: (A) Solution (B) Specific (C) Simple (D) Stretch

Find the slope of the line through the points $(9,-8)$ and $(9,-5)$ .

Find the perimeter of equilateral triangle $KLM$ with vertices $K(-2,1)$ and $M(10,6)$ . Use the Distance Formula to find $KM$ and then $P$ .

Reflect the graph of $f(x)=x^{3}$ about the $x$ -axis, shift it down 9 and right 2. Find $g(x)$ .

How much will \ $12,000 grow in 5 years at 2% interest compounded semiannually? Use$ A=P\left(1+\frac{r}{m}\right)^{mt}$.

Insert $<$ or $>$ in the shaded areas: a) 7 _ 12, b) -7 _ -12.

Find the line equation with slope $m$ through point (4,4). Answer in slope-intercept form: $m=-\frac{2}{3}$ .

Graph the function $g$ by reflecting $f(x)=x^{2}$ about the $x$ -axis, then shifting up 2 and left 4. Find $g(x)$ .

Estimate the standard deviation $s$ using the range rule for brain volumes from $904 \mathrm{~cm}^{3}$ to $1478 \mathrm{~cm}^{3}$ . Compare to $164.8 \mathrm{~cm}^{3}$ . Estimate $s = \square \mathrm{cm}^{3}$ .

Find the point that is $\frac{3}{10}$ of the way from $A(-3,-6)$ to $B(10,5)$ .

Describe how to generate the next terms in the pattern: A: $5, 8, 11, 14, 17, \ldots$

Find the average cost per item for manufacturing 90 items if $C=600+30x$ .

Find the snow depth, $d$ , on January 30 using the equation $d=-2t+64$ , where $t$ is days since Dec 31.

Insert $<$ or $>$ between the numbers to make the statement true: $\frac{6}{11} \square \frac{2}{9}$ .

The area of figure 2 is $15 \times 5^2 = 375$ square units. The area scales with the square of the factor.

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using $d=\frac{m}{v}$ . Mass: g

Find the width of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ , using $240 \mathrm{yd}$ of fencing.

Calculate the nitrogen monoxide production rate in kg/s when 499 L/s of dioxygen is used at $174 .{ }^{\circ} \mathrm{C}$ and $0.74 \mathrm{~atm}$ . Round to 2 significant digits.

Find the opposite of the number 8. The opposite of 8 is $-8$ .

Find the hours when total costs of ski rentals from Shop A ( $3 + 9h$ ) and Shop B ( $9 + 6h$ ) are equal.

Find the width $w$ of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ and perimeter $240 \mathrm{yd}$ .

Identify the rule for generating terms in these sequences: a. Pattern A: 5, 8, 11, 14, 17, ... b. Pattern B: $\frac{1}{2}, 1, 2, 4, 8, ...$

Check if Rebecca's five pairs of like terms are correct and fix any mistakes: $2.5 w$ and $-8 w$ , $\frac{1}{2}$ and $\frac{1}{2}$ , 38 and -15, $-7 c^{2}$ and $c^{2}$ , $5 a$ and $5 b$ .

What score does Paul need on his third test to average at least $80$ if he scored 83 and 75 on the first two tests?

Compare temperatures: $A = 75^\circ F$ and $B = 22^\circ C$ . Which is higher? A or B?

Find the minimum number of backpacks $x$ to sell for profit where $C=98x+7,809$ and $R=190x$ . Choices: A. 718,428 B. \$2,248,992 C. 85 D. 29

Vergleiche die folgenden Zahlenpaare und schreibe die größere Zahl auf: a) 530 oder 503, b) 460 oder 640, c) 617 oder 671, d) 122 oder 221, e) 1100 oder 1110, f) 835 oder 853, g) 565 oder 556, h) $409$ oder $4009$ .

A plane flies at 200 mph for 225 miles ± 50 miles. Find the min and max travel time in hours. At least $h$ and at most $h$ .

There are 48 trails in total, with $37.5\%$ being beginner trails. Find the number of expert trails.

In an obtuse triangle, sides are $(x-5)$ in, $6$ in, and $\frac{x}{2}$ in with a perimeter of $13$ in. Find the shortest side.

How much warmer is $129^{\circ} \mathrm{F}$ than $-119^{\circ} \mathrm{F}$ ? $129^{\circ} \mathrm{F}$ is $\square$ degrees warmer.

Find the solutions to the inequality $14 < 7 + t$ . Choose all that apply: $t=8$ , $t=7$ , $t=5$ , $t=10$ .

Find the solutions for the inequality $-12 + 10g > -72$ . Which values of $g$ are valid? Options: $g=9$ , $g=-12$ , $g=11$ , $g=-5$ .

What is the total amount Ron deposited if he put in $\$ 13645$ on Tuesday and $\$ 6880$ on Wednesday?

Find $\frac{3}{7} - \frac{4}{9}$ . What is the result?

Find the smallest square size for $18 \mathrm{~cm}$ by $24 \mathrm{~cm}$ tiles. Can they cover a $6.48 \mathrm{~m}$ by $15.12 \mathrm{~m}$ floor?

Find the distance between 10 and -5 on a number line, calculated as $|10 - (-5)|$ .

Jacob has 298 baseball cards and Jared has 321. How many cards do they have in total? Calculate $298 + 321$ .

Find $a$ and $b$ so that $(3a-27)^\circ + (2b+14)^\circ = 90^\circ$ . Round to the nearest whole number.

Round $4,569,325$ views to the nearest million.

Rays BA and BC are perpendicular. Given m∠ABD=(3x+5)° and m∠DBC=(5x-27)°, find x, m∠ABD, and m∠DBC.
x= m∠ABD= m∠DBC=

What digit in $254,608,391$ represents the ten millions place? The answer is 5.

Find $m$ if $m \angle A B C=(3m-15)^{\circ}$ and $m \angle A B D=(5m+59)^{\circ}$ are supplementary.

Order these numbers from least to greatest: $31.4\%$ , $-9.7$ , $-\frac{7}{8}$ .

Determine if the quotient $0 \div 5248$ is positive, zero, negative, or undefined. Then find the quotient and check its reasonableness.

Determine the eye color phenotypes for these genotypes: A. BB, B. $\mathrm{bb}$ , C. $\mathrm{Bb}$ .