Word Problems

Problem 2701

Find the quadratic function with a vertex at (5,9) that increases on $(-\infty,5)$ and decreases on $(5,\infty)$ . Options: a. $f(x)=(x+5)^{2}+9$ , b. $f(x)=(x-5)^{2}+9$ , c. $f(x)=-(x+5)^{2}+9$ , d. $f(x)=-(x-5)^{2}+9$ .

See Solution

Problem 2702

A baseball is thrown from 5 feet. Its height is given by $h(t)=-16 t^{2}+100 t+5$ . When does it hit the ground?

See Solution

Problem 2703

Find the average daily balance for a credit card with balances of \$2,300 for 10 days, \$3,910 for 9 days, and \$1,820 for 12 days.

See Solution

Problem 2704

The sum of 5 consecutive integers is 1115. Write the equation and find the largest integer.

See Solution

Problem 2705

Find the equation for the sum of 3 consecutive odd integers equal to -33 and the ratio of the largest to smallest. $-2-$

See Solution

Problem 2706

Marika starts sprinting 100 yards and adds 4 yards daily for 21 days. Find her distance on day 21 using $a_{n}=100+(n-1)4$ . Options: A. 200 B. 184 C. 221 D. 180.

See Solution

Problem 2707

Determine the quadrants for angle $\theta$ where $\cos \theta > 0$ and $\sin \theta < 0$ .

See Solution

Problem 2708

Last year, 54,849 people vacationed. This year, 9,499 more are expected. Find the total number of vacationers: $54,849 + 9,499$ .

See Solution

Problem 2709

Find $\cos \theta$ if $\sin \theta=\frac{4}{5}$ and $\theta$ is in quadrant II. Rationalize if needed.

See Solution

Problem 2710

Find all trigonometric functions of $\theta$ if $\tan \theta=\frac{4}{3}$ and $\theta$ is in quadrant 1.

See Solution

Problem 2711

Find the other trigonometric functions of $\theta$ if $\sin \theta=\frac{\sqrt{3}}{6}$ and $\cos \theta>0$ .

See Solution

Problem 2712

Ed Moura has \$55000 in stocks at 9\%. How much more should he invest at 2\% for an average return of 3\%?

See Solution

Problem 2713

In a scale drawing, a maple tree shades $12 \frac{1}{2} \mathrm{~cm}^{2}$ . How many cm² equal $1 \mathrm{~m}^{2}$ ? (A) $\frac{3}{5}$ (B) $\frac{5}{3}$

See Solution

Problem 2714

A garden has a perimeter of 48 meters. Its length is twice the width. Find the length and width of the garden.

See Solution

Problem 2715

Round 314,609 to the nearest hundred thousand, ten thousand, and thousand using place value understanding.

See Solution

Problem 2716

Round 314,609 to the nearest hundred thousand, ten thousand, and thousand using place value understanding.

See Solution

Problem 2717

Find the new coordinates of B (-5,-8), C (-5,-3), D (0,-3), E (0,-8) after a $180^{\circ}$ rotation around the origin.

See Solution

Problem 2718

Estimate the number of math books needed for an order of 253,625, considering a safety stock of 20\% of demand.

See Solution

Problem 2719

Find when trucker pay $P$ (in thousands) exceeds \ $42, using$ 42=0.449 x^{2}-7.91 x+72.2 $for$ 6 \leq x \leq 14$.

See Solution

Problem 2720

An ecology center has 260 m of fencing for a rectangular area of 4000 m². Find length $x$ and width. Express width in terms of $x$ .

See Solution

Problem 2721

Find the new coordinates of vertices B $(2,-9)$ , C $(2,-4)$ , and D $(1,-9)$ after a $270^{\circ}$ clockwise rotation.

See Solution

Problem 2722

An ecology center has 260 m of fencing for a rectangular garden of 4000 m². Find length and width.
(a) Let $\mathrm{x}=$ length; width is $130-x$ .
(b) Write an equation for length, width, and area.

See Solution

Problem 2723

Sketch the graph of the piecewise function and find the limits:
1. For $f(x) = \begin{cases} \sin x & x < 0 \\ x^2 & 0 \leq x < 2 \\ x & x \geq 2 \end{cases}$ , find: i. $\lim_{x \to 0} f(x)$ ii. $\lim_{x \to 2} f(x)$
2. For $f(x) = \begin{cases} e^x & x \leq 0 \\ |x| + 1 & 0 < x < 1 \\ \ln x & x \geq 1 \end{cases}$ , find: i. $\lim_{x \to 0} f(x)$ ii. $\lim_{x \to 1} f(x)$

See Solution

Problem 2724

An ecology center has 260 m of fencing for a garden area of 4000 m². Find the rectangle's length and width.
(a) Let $x=$ length; width is $130-x$ . (b) Area equation: $4000=x(130-x)$ . (c) Find the dimensions.

See Solution

Problem 2725

Find the point on the graph of $g^{-1}(x)$ if $(-7,1)$ is on $g(x)$ . Choose from: a. $(7,-1)$ b. $(1,-7)$ c. $(-1,7)$ d. $(-7,-1)$ .

See Solution

Problem 2726

Samantha's hall holds 144 people max, with tables for 8. Write an inequality for the number of tables, $t$ .

See Solution

Problem 2727

What is $1 + 1$ ?

See Solution

Problem 2728

Samantha's hall can hold 144 people with tables for 8.
A) Form an inequality. B) Explain each part. C) Max tables she can use? Justify with the inequality.

See Solution

Problem 2729

Show that $\frac{7}{25}$ equals 0.28 using long division.

See Solution

Problem 2730

Find the algebraic expression for "the quotient of 27 and $m$ less than 9". Options: $\frac{m-9}{27}$ , $\frac{27}{m-9}$ , $\frac{9-m}{27}$ , $\frac{27}{9-m}$ .

See Solution

Problem 2731

Sort the variables from these studies into independent and dependent categories:
1. Light & flowering patterns
2. Penicillin & growth of E. coli
3. Progesterone & ovulation
Variables: light, flowering patterns, progesterone, penicillin, growth of E. coli, ovulation.

See Solution

Problem 2732

1. Find speed and velocity for walking $400 \mathrm{~m}$ east and $600 \mathrm{~m}$ west in $300 \mathrm{~s}$ .
2. Find speed and velocity for walking $400 \mathrm{~m}$ east and $100 \mathrm{~m}$ west in $300 \mathrm{~s}$ .

See Solution

Problem 2733

What is the dependent variable in a bacteria growth experiment after three days? A. temperature B. time of day C. nutrient type D. colonies count

See Solution

Problem 2734

What sodium chloride concentration is needed for an isotonic solution with blood at $7.70 \, \mathrm{atm}$ ? Use $\pi = MRT$ .

See Solution

Problem 2735

Compare expected and experimental values for $i$ using osmotic pressure of $0.10 \mathrm{M}$ $\mathrm{Fe}\left(\mathrm{NH}_{4}\right)_{2}\left(\mathrm{SO}_{4}\right)_{2}$ at $25^{\circ} \mathrm{C}$ , given $10.8 \mathrm{~atm}$ .

See Solution

Problem 2736

Find the actual tire diameter in inches if a model car tire is 0.41 inches with a scale factor of $\frac{1}{64}$ . Round to 1 decimal place.

See Solution

Problem 2737

A train starts from rest. After 40 s, it reaches 60 m/s. What is its acceleration?

See Solution

Problem 2738

A train stops and speeds up to $60 \mathrm{~m/s}$ in $40 \mathrm{~s}$ . Find its acceleration. A boat stops in $6 \mathrm{~s}$ from $18 \mathrm{~m/s}$ . Find its acceleration.

See Solution

Problem 2739

A train accelerates from rest to $60 \mathrm{~m/s}$ in $40 \mathrm{~s}$ . Find its acceleration. A boat slows from $18 \mathrm{~m/s}$ to stop in $6 \mathrm{~s}$ . Find its acceleration.

See Solution

Problem 2740

Nolan, Jarred, Aiden, and Junior had a \$ 75 brunch. Nolan paid \$ 30, Jarred \$ 10, Aiden \$ 20. How much did Junior pay?

See Solution

Problem 2741

A gym charges a \ $25 enrollment fee and \$15 monthly. Which expression shows total cost for$ m $months? Options:$ 25 + 15m = c$

See Solution

Problem 2742

Jayden starts with 10 points, loses 20, then wins 45. What is her final score? Calculate: $10 - 20 + 45$ .

See Solution

Problem 2743

14. If a car accelerates at $9 \mathrm{~m/s}^2$ , how long to reach $63 \mathrm{~m/s}$ ?
15. With $5 \mathrm{~m/s}^2$ acceleration, what speed after $10 \mathrm{~s}$ ?
16. In which direction are the horses moving?
17. Which horse is speeding up and which is slowing down?

See Solution

Problem 2744

Express the following ratios as simplified fractions: 1) 169 to 2288 2) 22 to 132 3) 143 to 1183

See Solution

Problem 2745

Find the slope of the tangent line to $f^{-1}$ at the point $(1,-1)$ for $f(x)=(x+2)^{2}$ where $x \geq-2$ . The slope is $\square$ .

See Solution

Problem 2746

Rewrite the number 15,409 in expanded form and in word form.

See Solution

Problem 2747

Calculate the density of a 2.0 cm³ substance with a mass of 3.2 grams. Answer in grams/cm³.

See Solution

Problem 2748

Jack travels 2.45 miles and Wanda travels 2.31 miles. Who travels farther?

See Solution

Problem 2749

Express the number 100,203 in both expanded form and word form.

See Solution

Problem 2750

Find two numbers such that their sum is 49 and their product is 510.

See Solution

Problem 2751

A rectangular bedroom's area is $210 \mathrm{ft}^2$ and it's $1 \mathrm{ft}$ longer than wide. Find the width.

See Solution

Problem 2752

5. What is $10 \times 60$ ?
6. What is $\frac{1}{10} \times 5000$ ?

See Solution

Problem 2753

Find two consecutive even integers whose squares sum to 340.

See Solution

Problem 2754

For 4 cups of flour, how many cups of sugar (x) are needed if 8 cups of flour mix with 16 cups of sugar? Find $x$ .

See Solution

Problem 2755

Find the dimensions of the cardboard needed to create a box with volume 144 in³ after cutting 4-inch squares from corners.

See Solution

Problem 2756

Find the largest intervals where the function $f(x)=\frac{4}{x^{2}}-2$ has an inverse. List the intervals.

See Solution

Problem 2757

Find the length $x$ of a rectangle with area $28 \mathrm{in}^2$ , length $14 \mathrm{in}$ , and width $13 \mathrm{in}$ . $x=$ in

See Solution

Problem 2758

Chloe's car uses 15 gallons for 570 miles. How many gallons for 380 miles? Use the ratio to find the answer.

See Solution

Problem 2759

A ball is dropped from a 65 ft building. Find the time to fall half the distance and to ground level.
(a) Time to fall half: $t=$ sec (b) Time to ground: $t=$ sec

See Solution

Problem 2760

Taub sent 100 texts for \$5.00. How many texts did she send for \$9.55?

See Solution

Problem 2761

How many ounces are in two pounds of ice cream, given 1 pound = 16 ounces?

See Solution

Problem 2762

Guadalupe texts 91 words in 14 minutes. How many minutes for 143 words? Find $x$ in the ratio table.

See Solution

Problem 2763

A ball is dropped from a 59 ft building.
(a) Time to fall half the distance? $t=$
(b) Time to reach the ground? $t=$ sec

See Solution

Problem 2764

Calculate $60 \times 25 - 25$ .

See Solution

Problem 2765

A ball is dropped from a 59 ft building.
(a) Time to fall half the distance? $t=0.960$ sec
(b) Time to reach the ground? $t=1.921$ sec

See Solution

Problem 2766

To find how many microwave ovens, $x$ , must be produced to achieve a profit of \ $1250, use the formula$ P=\frac{1}{10} x(300-x)$.

See Solution

Problem 2767

Find three consecutive odd integers where the sum of the first two equals five times the largest plus three.

See Solution

Problem 2768

A business has \$10,000 and takes a \$30,000 loan. What is the new account balance after the loan?

See Solution

Problem 2769

Find three consecutive odd integers where the sum of the first two equals five times the largest plus three.

See Solution

Problem 2770

How many microwave ovens ( $x$ ) must be produced weekly for a profit of \ $1250 if$ P=\frac{1}{10}(300-x)$?

See Solution

Problem 2771

An airport worker uses ear mufflers due to airplane engine sounds being more than 120 decibels. What is the sound level?

See Solution

Problem 2772

Find three consecutive odd integers where the sum of the first two equals five times the third plus three: $x + (x + 2) = 5(x + 4) + 3$ .

See Solution

Problem 2773

13. Ricardo spent half his allowance on supplies, then \ $5.25 on a snack, leaving him with \$22.50. Find his allowance$ a$.
14. Liza earned money caring for a pet, spent \ $1.95 on a drink, \$30 on a concert ticket, \$7.20 on a ring, and has \$38.50 left. Find$ m$.
15. Henry bought dog treats, set aside 10, and gave 15 dogs 4 treats each. Find the total treats $t$ in the package.

See Solution

Problem 2774

Find two consecutive even integers whose squares sum to 340.

See Solution

Problem 2775

Is a noise of -1 decibels audible, harmful, ultrasonic, or subaudible? Choose one: a. b. c. d.

See Solution

Problem 2776

Micah's adult height is 71 inches, which is one less than twice his height at age 2. Find $h$ , his height at age 2.

See Solution

Problem 2777

Muna's gecko is $\frac{1}{2}$ inch wide and 5 inches long. If she makes it 1 inch wide, how long will the drawing be? Show your work.

See Solution

Problem 2778

How long to drain a pond with 14,274 gallons at 78 gallons/hour? Use $t = \frac{14,274}{78}$ .

See Solution

Problem 2779

Lavania starts with 20 fruit flies. After 6 days, she has $5 \times 20 + 9$ . Find this population after 6 days.

See Solution

Problem 2780

Find $W Y$ given that $W$ is the midpoint of segment $V Y$ , with $V W=9 x+7$ and $W Y=16 x-28$ .

See Solution

Problem 2781

The Sanchez family needs to calculate the total cost for 2 adult lift tickets, 3 children lift tickets, 2 ski rentals, and hot chocolate for 5 people. Use the costs: adult ticket \$42, child ticket \$34, ski rental \$32, and hot chocolate (16 oz) \$4.

See Solution

Problem 2782

Find $G H$ given that $G H=13(x-1)$ , $I G=16+4 x$ , and $H I=25$ .

See Solution

Problem 2783

The Sanchez family needs to calculate the total cost for 2 adults and 3 children lift tickets, 2 ski rentals, and hot chocolate.

See Solution

Problem 2784

Find the endpoint $Q$ if $M$ is the midpoint of $\overline{P Q}$ , with $P(-2,3)$ and $M(5,1)$ .

See Solution

Problem 2785

How many spacers of thickness $\frac{4}{7}$ inch can be cut from a $5 \frac{1}{7}$ inch long tube?

See Solution

Problem 2786

Select numbers where the place value of 6 is $\frac{1}{10}$ of its value in 760,000. Options: (A) 3,600 (B) 6,000 (C) 20,600 (D) 256,000 (E) 600,000 (F) 2,765,400.

See Solution

Problem 2787

What is the area of cardboard needed to construct a cube with a volume of 144 cubic inches? Each side is 4 inches.

See Solution

Problem 2788

Find the next five terms of the Fibonacci sequence: $144, 233, 377, 610$ ?

See Solution

Problem 2789

Kelly buys 3 games at \$18.95 each and 2 earbuds at \$11.50 each, with a \$2 coupon per game. Is her total \$77.85 or \$73.85?

See Solution

Problem 2790

Find the Celsius temperature from $72^{\circ} \mathrm{F}$ using the formula: $C = \frac{F - 30}{2}$ . Show each step!

See Solution

Problem 2791

A ball is dropped from a 59 ft building.
(a) Time to fall half the distance? $t =$
(b) Time to reach ground? $t =$

See Solution

Problem 2792

Liam's class plants bamboo. Write the slope-intercept equation $y=20x+10$ and explain the slope and $y$ -intercept.

See Solution

Problem 2793

Find the area of a triangle with vertices at (2,8), (5,3), and (9,3) using the formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$ .

See Solution

Problem 2794

Write algebraic expressions for these phrases: a. 2 times the quantity $y$ plus 11 b. $n$ cubed increased by 5 Check: 18 increased by the product of 3 and $d$ . Identify operations: increased by, product of. Write the expression.

See Solution

Problem 2795

Which option best defines heat: a) energy transfer at high temps, b) low temps, c) different temps, or d) all?

See Solution

Problem 2796

Round 180.85 to the nearest tenth: what is the result?

See Solution

Problem 2797

Round 44.909 to the nearest tenth.

See Solution

Problem 2798

Round 3.124 pounds to the nearest tenth of a pound.

See Solution

Problem 2799

Do the planes $x_{1}+4 x_{2}+x_{3}=5$ , $x_{2}-x_{3}=1$ , and $x_{1}+5 x_{2}=1$ intersect? Choose A, B, or C.

See Solution

Problem 2800

Find the common ratio of the geometric sequence where $\mathrm{a}_{1}=1$ and $\mathrm{a}_{9}=25$ .

See Solution

1 ...25 26 27 28 29 30 31 ...101

Word Problems

Problem 2701

Problem 2702

A baseball is thrown from 5 feet. Its height is given by h(t)=−16t2+100t+5h(t)=-16 t^{2}+100 t+5h(t)=−16t2+100t+5. When does it hit the ground?

Problem 2703

Find the average daily balance for a credit card with balances of \$2,300 for 10 days, \$3,910 for 9 days, and \$1,820 for 12 days.

Problem 2704

The sum of 5 consecutive integers is 1115. Write the equation and find the largest integer.

Problem 2705

Find the equation for the sum of 3 consecutive odd integers equal to -33 and the ratio of the largest to smallest. −2−-2-−2−

Problem 2706

Marika starts sprinting 100 yards and adds 4 yards daily for 21 days. Find her distance on day 21 using an=100+(n−1)4a_{n}=100+(n-1)4an​=100+(n−1)4. Options: A. 200 B. 184 C. 221 D. 180.

Problem 2707

Determine the quadrants for angle θ\thetaθ where cos⁡θ>0\cos \theta > 0cosθ>0 and sin⁡θ<0\sin \theta < 0sinθ<0.

Problem 2708

Last year, 54,849 people vacationed. This year, 9,499 more are expected. Find the total number of vacationers: 54,849+9,49954,849 + 9,49954,849+9,499.

Problem 2709

Find cos⁡θ\cos \thetacosθ if sin⁡θ=45\sin \theta=\frac{4}{5}sinθ=54​ and θ\thetaθ is in quadrant II. Rationalize if needed.

Problem 2710

Find all trigonometric functions of θ\thetaθ if tan⁡θ=43\tan \theta=\frac{4}{3}tanθ=34​ and θ\thetaθ is in quadrant 1.

Problem 2711

Find the other trigonometric functions of θ\thetaθ if sin⁡θ=36\sin \theta=\frac{\sqrt{3}}{6}sinθ=63​​ and cos⁡θ>0\cos \theta>0cosθ>0.

Problem 2712

Ed Moura has \$55000 in stocks at 9\%. How much more should he invest at 2\% for an average return of 3\%?

Problem 2713

In a scale drawing, a maple tree shades 1212 cm212 \frac{1}{2} \mathrm{~cm}^{2}1221​ cm2. How many cm² equal 1 m21 \mathrm{~m}^{2}1 m2? (A) 35\frac{3}{5}53​ (B) 53\frac{5}{3}35​

Problem 2714

A garden has a perimeter of 48 meters. Its length is twice the width. Find the length and width of the garden.

Problem 2715

Round 314,609 to the nearest hundred thousand, ten thousand, and thousand using place value understanding.

Problem 2716

Round 314,609 to the nearest hundred thousand, ten thousand, and thousand using place value understanding.

Problem 2717

Find the new coordinates of B (-5,-8), C (-5,-3), D (0,-3), E (0,-8) after a 180∘180^{\circ}180∘ rotation around the origin.

Problem 2718

Estimate the number of math books needed for an order of 253,625, considering a safety stock of 20\% of demand.

Problem 2719

Find when trucker pay PPP (in thousands) exceeds \42,using42, using 42,using42=0.449 x^{2}-7.91 x+72.2for for for6 \leq x \leq 14$.

Problem 2720

An ecology center has 260 m of fencing for a rectangular area of 4000 m². Find length xxx and width. Express width in terms of xxx.

Problem 2721

Find the new coordinates of vertices B (2,−9)(2,-9)(2,−9), C (2,−4)(2,-4)(2,−4), and D (1,−9)(1,-9)(1,−9) after a 270∘270^{\circ}270∘ clockwise rotation.

Problem 2722

An ecology center has 260 m of fencing for a rectangular garden of 4000 m². Find length and width. (a) Let x=\mathrm{x}=x= length; width is 130−x130-x130−x. (b) Write an equation for length, width, and area.

Problem 2723

Problem 2724

An ecology center has 260 m of fencing for a garden area of 4000 m². Find the rectangle's length and width. (a) Let x=x=x= length; width is 130−x130-x130−x. (b) Area equation: 4000=x(130−x)4000=x(130-x)4000=x(130−x). (c) Find the dimensions.

Problem 2725

Find the point on the graph of g−1(x)g^{-1}(x)g−1(x) if (−7,1)(-7,1)(−7,1) is on g(x)g(x)g(x). Choose from: a. (7,−1)(7,-1)(7,−1) b. (1,−7)(1,-7)(1,−7) c. (−1,7)(-1,7)(−1,7) d. (−7,−1)(-7,-1)(−7,−1).

Problem 2726

Samantha's hall holds 144 people max, with tables for 8. Write an inequality for the number of tables, ttt.

Problem 2727

What is 1+11 + 11+1?

Problem 2728

Samantha's hall can hold 144 people with tables for 8. A) Form an inequality. B) Explain each part. C) Max tables she can use? Justify with the inequality.

Problem 2729

Show that 725\frac{7}{25}257​ equals 0.28 using long division.

Problem 2730

Find the algebraic expression for "the quotient of 27 and mmm less than 9". Options: m−927\frac{m-9}{27}27m−9​, 27m−9\frac{27}{m-9}m−927​, 9−m27\frac{9-m}{27}279−m​, 279−m\frac{27}{9-m}9−m27​.

Problem 2731

Sort the variables from these studies into independent and dependent categories: 1. Light & flowering patterns 2. Penicillin & growth of E. coli 3. Progesterone & ovulation Variables: light, flowering patterns, progesterone, penicillin, growth of E. coli, ovulation.

Problem 2732

1. Find speed and velocity for walking 400 m400 \mathrm{~m}400 m east and 600 m600 \mathrm{~m}600 m west in 300 s300 \mathrm{~s}300 s.2. Find speed and velocity for walking 400 m400 \mathrm{~m}400 m east and 100 m100 \mathrm{~m}100 m west in 300 s300 \mathrm{~s}300 s.

Problem 2733

What is the dependent variable in a bacteria growth experiment after three days? A. temperature B. time of day C. nutrient type D. colonies count

Problem 2734

What sodium chloride concentration is needed for an isotonic solution with blood at 7.70 atm7.70 \, \mathrm{atm}7.70atm? Use π=MRT\pi = MRTπ=MRT.

Problem 2735

Compare expected and experimental values for iii using osmotic pressure of 0.10M0.10 \mathrm{M}0.10M Fe(NH4)2(SO4)2\mathrm{Fe}\left(\mathrm{NH}_{4}\right)_{2}\left(\mathrm{SO}_{4}\right)_{2}Fe(NH4​)2​(SO4​)2​ at 25∘C25^{\circ} \mathrm{C}25∘C, given 10.8 atm10.8 \mathrm{~atm}10.8 atm.

Problem 2736

Find the actual tire diameter in inches if a model car tire is 0.41 inches with a scale factor of 164\frac{1}{64}641​. Round to 1 decimal place.

Problem 2737

A train starts from rest. After 40 s, it reaches 60 m/s. What is its acceleration?

Problem 2738

A train stops and speeds up to 60 m/s60 \mathrm{~m/s}60 m/s in 40 s40 \mathrm{~s}40 s. Find its acceleration. A boat stops in 6 s6 \mathrm{~s}6 s from 18 m/s18 \mathrm{~m/s}18 m/s. Find its acceleration.

Problem 2739

A train accelerates from rest to 60 m/s60 \mathrm{~m/s}60 m/s in 40 s40 \mathrm{~s}40 s. Find its acceleration. A boat slows from 18 m/s18 \mathrm{~m/s}18 m/s to stop in 6 s6 \mathrm{~s}6 s. Find its acceleration.

Problem 2740

Nolan, Jarred, Aiden, and Junior had a \$ 75 brunch. Nolan paid \$ 30, Jarred \$ 10, Aiden \$ 20. How much did Junior pay?

Problem 2741

A baseball is thrown from 5 feet. Its height is given by $h(t)=-16 t^{2}+100 t+5$ . When does it hit the ground?

Find the equation for the sum of 3 consecutive odd integers equal to -33 and the ratio of the largest to smallest. $-2-$

Marika starts sprinting 100 yards and adds 4 yards daily for 21 days. Find her distance on day 21 using $a_{n}=100+(n-1)4$ . Options: A. 200 B. 184 C. 221 D. 180.

Determine the quadrants for angle $\theta$ where $\cos \theta > 0$ and $\sin \theta < 0$ .

Last year, 54,849 people vacationed. This year, 9,499 more are expected. Find the total number of vacationers: $54,849 + 9,499$ .

Find $\cos \theta$ if $\sin \theta=\frac{4}{5}$ and $\theta$ is in quadrant II. Rationalize if needed.

Find all trigonometric functions of $\theta$ if $\tan \theta=\frac{4}{3}$ and $\theta$ is in quadrant 1.

Find the other trigonometric functions of $\theta$ if $\sin \theta=\frac{\sqrt{3}}{6}$ and $\cos \theta>0$ .

In a scale drawing, a maple tree shades $12 \frac{1}{2} \mathrm{~cm}^{2}$ . How many cm² equal $1 \mathrm{~m}^{2}$ ? (A) $\frac{3}{5}$ (B) $\frac{5}{3}$

Find the new coordinates of B (-5,-8), C (-5,-3), D (0,-3), E (0,-8) after a $180^{\circ}$ rotation around the origin.

Find when trucker pay $P$ (in thousands) exceeds \ $42, using$ 42=0.449 x^{2}-7.91 x+72.2 $for$ 6 \leq x \leq 14$.

An ecology center has 260 m of fencing for a rectangular area of 4000 m². Find length $x$ and width. Express width in terms of $x$ .

Find the new coordinates of vertices B $(2,-9)$ , C $(2,-4)$ , and D $(1,-9)$ after a $270^{\circ}$ clockwise rotation.

An ecology center has 260 m of fencing for a rectangular garden of 4000 m². Find length and width.
(a) Let $\mathrm{x}=$ length; width is $130-x$ .
(b) Write an equation for length, width, and area.

An ecology center has 260 m of fencing for a garden area of 4000 m². Find the rectangle's length and width.
(a) Let $x=$ length; width is $130-x$ . (b) Area equation: $4000=x(130-x)$ . (c) Find the dimensions.

Find the point on the graph of $g^{-1}(x)$ if $(-7,1)$ is on $g(x)$ . Choose from: a. $(7,-1)$ b. $(1,-7)$ c. $(-1,7)$ d. $(-7,-1)$ .

Samantha's hall holds 144 people max, with tables for 8. Write an inequality for the number of tables, $t$ .

What is $1 + 1$ ?

Samantha's hall can hold 144 people with tables for 8.
A) Form an inequality. B) Explain each part. C) Max tables she can use? Justify with the inequality.

Show that $\frac{7}{25}$ equals 0.28 using long division.

Find the algebraic expression for "the quotient of 27 and $m$ less than 9". Options: $\frac{m-9}{27}$ , $\frac{27}{m-9}$ , $\frac{9-m}{27}$ , $\frac{27}{9-m}$ .

Sort the variables from these studies into independent and dependent categories:
1. Light & flowering patterns
2. Penicillin & growth of E. coli
3. Progesterone & ovulation
Variables: light, flowering patterns, progesterone, penicillin, growth of E. coli, ovulation.

1. Find speed and velocity for walking $400 \mathrm{~m}$ east and $600 \mathrm{~m}$ west in $300 \mathrm{~s}$ .
2. Find speed and velocity for walking $400 \mathrm{~m}$ east and $100 \mathrm{~m}$ west in $300 \mathrm{~s}$ .

What sodium chloride concentration is needed for an isotonic solution with blood at $7.70 \, \mathrm{atm}$ ? Use $\pi = MRT$ .

Compare expected and experimental values for $i$ using osmotic pressure of $0.10 \mathrm{M}$ $\mathrm{Fe}\left(\mathrm{NH}_{4}\right)_{2}\left(\mathrm{SO}_{4}\right)_{2}$ at $25^{\circ} \mathrm{C}$ , given $10.8 \mathrm{~atm}$ .

Find the actual tire diameter in inches if a model car tire is 0.41 inches with a scale factor of $\frac{1}{64}$ . Round to 1 decimal place.

A train stops and speeds up to $60 \mathrm{~m/s}$ in $40 \mathrm{~s}$ . Find its acceleration. A boat stops in $6 \mathrm{~s}$ from $18 \mathrm{~m/s}$ . Find its acceleration.

A train accelerates from rest to $60 \mathrm{~m/s}$ in $40 \mathrm{~s}$ . Find its acceleration. A boat slows from $18 \mathrm{~m/s}$ to stop in $6 \mathrm{~s}$ . Find its acceleration.

A gym charges a \ $25 enrollment fee and \$15 monthly. Which expression shows total cost for$ m $months? Options:$ 25 + 15m = c$

Jayden starts with 10 points, loses 20, then wins 45. What is her final score? Calculate: $10 - 20 + 45$ .

Find the slope of the tangent line to $f^{-1}$ at the point $(1,-1)$ for $f(x)=(x+2)^{2}$ where $x \geq-2$ . The slope is $\square$ .

A rectangular bedroom's area is $210 \mathrm{ft}^2$ and it's $1 \mathrm{ft}$ longer than wide. Find the width.

5. What is $10 \times 60$ ?
6. What is $\frac{1}{10} \times 5000$ ?

For 4 cups of flour, how many cups of sugar (x) are needed if 8 cups of flour mix with 16 cups of sugar? Find $x$ .

Find the largest intervals where the function $f(x)=\frac{4}{x^{2}}-2$ has an inverse. List the intervals.

Find the length $x$ of a rectangle with area $28 \mathrm{in}^2$ , length $14 \mathrm{in}$ , and width $13 \mathrm{in}$ . $x=$ in

A ball is dropped from a 65 ft building. Find the time to fall half the distance and to ground level.
(a) Time to fall half: $t=$ sec (b) Time to ground: $t=$ sec

Guadalupe texts 91 words in 14 minutes. How many minutes for 143 words? Find $x$ in the ratio table.

A ball is dropped from a 59 ft building.
(a) Time to fall half the distance? $t=$
(b) Time to reach the ground? $t=$ sec

Calculate $60 \times 25 - 25$ .

A ball is dropped from a 59 ft building.
(a) Time to fall half the distance? $t=0.960$ sec
(b) Time to reach the ground? $t=1.921$ sec

To find how many microwave ovens, $x$ , must be produced to achieve a profit of \ $1250, use the formula$ P=\frac{1}{10} x(300-x)$.

How many microwave ovens ( $x$ ) must be produced weekly for a profit of \ $1250 if$ P=\frac{1}{10}(300-x)$?

Find three consecutive odd integers where the sum of the first two equals five times the third plus three: $x + (x + 2) = 5(x + 4) + 3$ .