Word Problems

Problem 6001

The first side of a triangle is $8 \mathrm{~m}$ shorter than the second side. The third side is 4 times the first side. The perimeter is $26 \mathrm{~m}$ . Find the length of each side.

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Problem 6002

Select three correct measures of the center of a data set: mean, mode, median, range, standard deviation, IQR, lower limit, upper limit.

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Problem 6003

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

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Problem 6004

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula $S = (n-2) \times 180$ where $n = 8$ .

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Problem 6005

Iko's temperature changed by +11° and then -14°. Write the expression and find the net change: $+11 + (-14) = -3°$ What is the net change?

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Problem 6006

Find the function $(A \circ r)(t)$ if the radius $r(t)$ of ripples in a pond is known, where $A(r)=\pi r^{2}$ .

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Problem 6007

A number divided by 40 gives a quotient of 6 and a remainder of 15. What is the number?

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Problem 6008

Find and interpret $(A \circ r)(t)$ where $r(t)=0.7 t$ and $A(r)=\pi r^{2}$ .

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Problem 6009

The perimeter of a triangle is $76 \mathrm{~cm}$ . If side $a$ is twice $b$ and $c$ is $1 \mathrm{~cm}$ longer than $a$ , find the lengths of $a$ , $b$ , and $c$ .

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Problem 6010

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

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Problem 6011

The perimeter of a triangle is 76 cm. Side a is twice side b, and side c is 1 cm longer than side a. Find the side lengths.

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Problem 6012

The weekly cost $C$ for producing $x$ units is $C(x)=50x+2250$ , with $x(t)=60t$ .
(a) Find $(C \circ x)(t)$ . (b) Calculate the cost for 4 hours. (c) Determine time for cost to reach \$15,000.

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Problem 6013

Calculate the slope of the line connecting the points $(-4,9)$ and $(10,-6)$ .

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Problem 6014

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

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Problem 6015

Determine the final function after shifting $y=\sqrt{x}$ up 9 units, reflecting it about the $y$ axis, and shifting left 3 units.

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Problem 6016

Calculate $12 \frac{8}{15}-7+\frac{7}{15}+15$ and simplify.

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Problem 6017

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

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Problem 6018

Find the lengths of sides a, b, and c of a polygon with a perimeter of $25 \mathrm{~m}$ , given specific relationships between sides.

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Problem 6019

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

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Problem 6020

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

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Problem 6021

A student has 174 cm of ribbon. Each bow needs 20 cm. How many bows can be made and how much ribbon is left?

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Problem 6022

A right triangle has a hypotenuse of $10 \mathrm{~cm}$ . The shorter leg is $2 \mathrm{~cm}$ less than the longer leg. Find the sides.

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Problem 6023

Calculate $-189.987 - 30.87$ . What is the result?

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Problem 6024

Find the average yearly salaries of individuals with a bachelor's and master's degree, given their combined earnings of \$124,000.

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Problem 6025

Find the side lengths of a right triangle where the longer leg is $19 \mathrm{~cm}$ more than $5$ times the shorter leg and the hypotenuse is $20 \mathrm{~cm}$ more than $5$ times the shorter leg.

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Problem 6026

Find $UW$ given $UV=5$ , $VW=x+5$ , and $UW=6x$ .

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Problem 6027

Un triángulo rectángulo tiene un cateto más largo que el más corto en $4 \mathrm{~cm}$ y la hipotenusa es $8 \mathrm{~cm}$ más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto $\mathbf{G} \| \mathrm{cm}$ .

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Problem 6028

Find the drug amount $D(h)=9e^{-0.4h}$ after 5 hours. Round to two decimals.

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Problem 6029

Set up and solve the equation for Joe's miles driven if he was reimbursed \$ 260 for lodging and travel costs.

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Problem 6030

Find the cost function $C(x)$ for canoes with fixed cost \$20000, production cost \$40, and selling price \$80.

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Problem 6031

Determine the final function after shifting $y=|x|$ up 7 units, reflecting it over the $x-$ axis, and shifting right 9 units.

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Problem 6032

Write the line equation in point-slope and slope-intercept forms with slope $=-7$ and passing through $(-8,-3)$ .

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Problem 6033

One scoop of rice weighs $3^{9}$ mg. a. Find weight of $s$ scoops: $3^{9} \cdot s$ . Weight of 5 scoops? b. A grain weighs $3^{3}$ mg. How many grains in 1 scoop?

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Problem 6034

Find the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

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Problem 6035

Kane runs 3 miles and increases by $\frac{1}{4}$ mile each week. Write an expression for distance after $w$ weeks.

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Problem 6036

Write the expanded notation for 412.638 using fractions and decimals. What did Nancy and Charles write?

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Problem 6037

Find the volume of a box with dimensions 6 in, 7 in, 8 in in liters. (2.54 cm = 1 in). Also, convert 80 m/s to mph.

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Problem 6038

Identify outliers using the interquartile range from the five-number summary: Min \$35,263, Q1 \$150,000, Median \$738,703.5, Q3 \$1,711,568, Max \$5,704,790.

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Problem 6039

Polygon $A$ has sides $2.5$ , $2.5$ , $1.5$ , angles $53^\circ$ , $82^\circ$ . Polygon $B$ has one side $5$ .
a. Find the scale factor from $A$ to $B$ .
b. Calculate the unknown side lengths in $B$ .
c. Find the unknown angles in $A$ .

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Problem 6040

Find the mass in grams of a liquid with density $1.15 \mathrm{~g} / \mathrm{mL}$ to fill a 50.00 - $\mathrm{mL}$ container. Use algebraic manipulation.

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Problem 6041

Conner did sit-ups on Mon, Tue, Wed. Write the total in standard form: $600+20+4$ . If 3 students read 4 books each, total books: $3 \times 4$ .

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Problem 6042

Which extreme temperature in Rapid City, $-19^{\circ} \mathrm{F}$ or $92^{\circ} \mathrm{F}$ , is closer to the average of $45.2^{\circ} \mathrm{F}$ ?

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Problem 6043

How long in minutes does a snail take to cross a $1.3^{12}$ foot road at 1.3 feet/min? Answer with exponents.

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Problem 6044

How long in minutes does a snail moving at $1.3^{3}$ ft/min take to cross a $1.3^{12}$ ft wide road? Use exponents.

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Problem 6045

Calculate the central angle $\theta$ (in degrees) for a circle with radius 15 inches and arc length 10 inches. Round to the nearest hundredth.

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Problem 6046

A runner is 9.3 miles into a 26.2-mile marathon. How much further must they run?

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Problem 6047

Is this shape a square? Choose the correct reason: A. Perpendicular sides, equal length. B. Parallel sides, equal length. C. Opposite sides not parallel. D. Sides not congruent.

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Problem 6048

What is the mass of 50.0 mL for each substance? (Densities: Lead $11.4 \mathrm{~g/mL}$ , Ethanol $0.785 \mathrm{~g/mL}$ , Oxygen $1.4 \times 10^{-3} \mathrm{~g/mL}$ , Hydrogen $8.4 \times 10^{-5} \mathrm{~g/mL}$ , Mercury $13.6 \mathrm{~g/mL}$ , Gold $19.3 \mathrm{~g/mL}$ )

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Problem 6049

Check if the triangle with vertices B(-1,5), A(2,3), and C(0,0) is a right triangle using the distances.

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Problem 6050

Find the distance difference between Circleville to Columbus ( $28.5$ mi) and Circleville to Lancaster to Columbus ( $20.83 + 29.8$ mi).

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Problem 6051

Identify the rational numbers from the list: A. 0, B. $5.73773777 \ldots$ , C. $-\frac{6}{5}$ , D. $\sqrt{48}$ , E. 8, F. -8.

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Problem 6052

Calculate the arc length of a circle with radius 12 inches and central angle $\frac{3}{4} \pi$ radians. Round to two decimals.

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Problem 6053

Select subtraction problems with a difference of 1.65: 27.30-16.65, 3.809-2.744, 11.23-9.58, 21.74-20.09, 40.4-23.9.

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Problem 6054

A soft drink costs \$0.99 for 24.0 oz and \$0.73 for 0.500 L. Find the price per liter for both sizes.

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Problem 6055

Calculate the area of a parallelogram with base $3.5$ units and height $3$ units.

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Problem 6056

Calculate the total distance walked in two round trips around a path with two 300 m segments and an $80^{\circ}$ arc.

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Problem 6057

Find the coordinate of $P$ as the weighted average of points $A(-9, 2)$ and $D(2, 3)$ . Use an improper fraction if needed.

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Problem 6058

How many batches of buttermilk pancakes can be made with 6 cups of buttermilk if each batch needs $\frac{7}{8}$ cup?

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Problem 6059

Find the model wingspan if the actual wingspan is 211 feet and the scale is 1 in: $40 \mathrm{ft}$ .

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Problem 6060

What is the name of the compound $\mathrm{Cu}_{3} \mathrm{P}_{2}$ ?

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Problem 6061

Calculate the energy in joules to ionize a hydrogen atom from the $n=6$ level, knowing ground-state ionization is $2.18 \times 10^{-18} \mathrm{~J}$ .

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Problem 6062

An art collector bought a painting for \ $2.3 million and sold it for \$4.1 million. Find her profit:$ 4.1 - 2.3$.

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Problem 6063

Find $\lim _{x \rightarrow-1^{+}} f(x)$ for the function $f(x)$ with a hole at $x=-5$ and a value at $x=-1$ .

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Problem 6064

Find two consecutive even integers whose squares sum to 1060.

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Problem 6065

Find the wavelength of photons from hydrogen transitioning from $n=4$ to $n=3$ in $\mathrm{nm}$ and identify the spectrum region: A. ultraviolet or B. X-ray.

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Problem 6066

What is the map length for an actual distance of 70 miles, given the scale $1 / 2$ inch $=20$ miles?

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Problem 6067

Toby buys 20 pieces of wood at \$1.29 each and 120 nails at \$0.05 each for 3 fences. Total cost?

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Problem 6068

A house blueprint has a scale of 1 inch = 5 feet. If the family room is 4/4 inches long, what is its actual length?

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Problem 6069

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

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Problem 6070

Calculate the total number of leaves that have fallen by the end of the $18^{\text{th}}$ day if they quadruple daily, starting from 1.

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Problem 6071

Model the city's population growth from 2020 ( $1,596,000$ with a $3.5\%$ annual increase) using the function $f(x)$ .

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Problem 6072

Find the slope-intercept form of the line through (1,3) and (0,-3).

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Problem 6073

Find the balance on a credit card after 9 months using $f(x)=500(1+0.13)^{x}$ . Round to the nearest cent.

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Problem 6074

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in $=45$ feet, how tall is the model?

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Problem 6075

A child is 20 inches long at birth. Use the function $f(x)=20+47 \log (x+2)$ to find when she reaches $60\%$ of her height.

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Problem 6076

Calculate the pH of a solution with $\left[\mathrm{H}^{+}\right]=2.9 \times 10^{-8}$ . Round to the nearest hundredth.

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Problem 6077

A psychologist models recall as $f(t)=92-22 \ln (t+1)$ for $1 \leq t \leq 12$ . What is $f(3)$ rounded to the nearest percent?

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Problem 6078

What is the actual height of a library that is 12 inches tall in a drawing with a scale of 1/3 inch = 1 foot?

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Problem 6079

Convert the fraction $\frac{8}{9}$ into its decimal form.

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Problem 6080

Find the pH of apple juice with a hydrogen ion concentration of $[\mathrm{H}^+]=0.00015$ . Round to the nearest hundredth.

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Problem 6081

Milk's price rises by $2\%$ yearly. If it’s \$2.75 in 2017, what will it cost in 2020?

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Problem 6082

To make 464 liters of Petrolyn oil with a ratio of 5 liters natural to 3 liters synthetic, how much synthetic oil is needed?

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Problem 6083

The equation for "3 less than the product of 4 and 5" is: $4 \times 5 - 3$ .

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Problem 6084

A company's net income was \ $200,000 in 2020 and grows by 10% yearly. When will it reach \$1,000,000? Use$ f(x)=200,000(1+0.1)^{x}$.

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Problem 6085

A child is 20 inches long at birth. Find the percentage of adult height at age 3 using $f(x)=20+47 \log (x+2)$ .

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Problem 6086

Find $x$ given $S U=60$ and the equation $(x-24)+(2x+20)=60$ . Also solve for other segments and angles.

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Problem 6087

A pool has 15,600 gallons and loses $5\%$ of water daily. How much will remain in 11 days? Round to the nearest whole number.

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Problem 6088

Find the balance after 12 months using the exponential function $f(x)=500(1+0.096)^{x}$ . Round to the nearest cent.

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Problem 6089

If the credit card balance grows exponentially as $f(x)=800(1+0.122)^{x}$ , what is the balance after 39 months? Round to the nearest cent.

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Problem 6090

Luis cooks for 20+ people, with vegetarian meals at \$3 and meat meals at \$4.50. Budget is \$100, with at least 6 of each. Write the inequalities.

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Problem 6091

A child is 20 inches at birth. Find the percent of adult height at age 15 using $f(x)=20+47 \log (x+2)$ .

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Problem 6092

Convert each number to scientific notation. Example: $3,230,000=3.23 \times 10^{6}$ ; Find $211,700,000,000=$ .

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Problem 6093

Find the coordinate of $P$ as the weighted average of points: $W = -7$ (weight 2), $X = -4$ (weight 1), $Y = 0$ (weight 3).

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Problem 6094

Melissa's salary was \ $70,000. Find her$ z$-score given mean \$72,000 and SD \$5300. Round to 2 decimal places.
Interpret: Melissa's salary was $\square$ standard deviations (Choose one) $\mathbf{\nabla}$ the mean.

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Problem 6095

Let $x$ be hours worked in housecleaning and $y$ in sales. Write the inequalities: $x + y \leq 41$ and $5x + 8y \geq 254$ .

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Problem 6096

Find coordinates of $P$ as the weighted average of $U(-8,-5)$ and $X(2,0)$ , with $U$ weighing twice as much as $X$ .

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Problem 6097

Convert the following numbers to scientific notation: 9. $3,230,000=3.23 \times 10^{6}$ , 10. $0.0000085=$

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Problem 6098

Convert these numbers to scientific notation:
9. $3,230,000=$
10. $0.0000085=$
11. $211,700,000,000=2.117 \times 10^{11}$
12. $0,0000000972=$

See Solution

Problem 6099

Pilar buys pizzas at \$9 each and cookies at \$5 per pound, with a max budget of \$50. She needs at least 3 pizzas and 2 pounds of cookies. Find the inequalities and graph them.

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Problem 6100

Convert 1 pound to ounces using the conversion: 1 pound $(\mathrm{lb}) = 16$ ounces $(\mathrm{oz})$ .

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1 ...58 59 60 61 62 63 64 ...101

Word Problems

Problem 6001

The first side of a triangle is 8 m8 \mathrm{~m}8 m shorter than the second side. The third side is 4 times the first side. The perimeter is 26 m26 \mathrm{~m}26 m. Find the length of each side.

Problem 6002

Select three correct measures of the center of a data set: mean, mode, median, range, standard deviation, IQR, lower limit, upper limit.

Problem 6003

Calculate the interior angle sum of an 11-sided polygon using (n−2)×180(n-2) \times 180(n−2)×180. Round to the nearest tenth.

Problem 6004

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula S=(n−2)×180S = (n-2) \times 180S=(n−2)×180 where n=8n = 8n=8.

Problem 6005

Iko's temperature changed by +11° and then -14°. Write the expression and find the net change: +11+(−14)=−3° +11 + (-14) = -3° +11+(−14)=−3° What is the net change?

Problem 6006

Find the function (A∘r)(t)(A \circ r)(t)(A∘r)(t) if the radius r(t)r(t)r(t) of ripples in a pond is known, where A(r)=πr2A(r)=\pi r^{2}A(r)=πr2.

Problem 6007

A number divided by 40 gives a quotient of 6 and a remainder of 15. What is the number?

Problem 6008

Find and interpret (A∘r)(t)(A \circ r)(t)(A∘r)(t) where r(t)=0.7tr(t)=0.7 tr(t)=0.7t and A(r)=πr2A(r)=\pi r^{2}A(r)=πr2.

Problem 6009

The perimeter of a triangle is 76 cm76 \mathrm{~cm}76 cm. If side aaa is twice bbb and ccc is 1 cm1 \mathrm{~cm}1 cm longer than aaa, find the lengths of aaa, bbb, and ccc.

Problem 6010

Find the side lengths of a right triangle where the shorter leg is 8ft8 \mathrm{ft}8ft shorter than the longer leg, and the hypotenuse is 8ft8 \mathrm{ft}8ft longer than the longer leg.

Problem 6011

The perimeter of a triangle is 76 cm. Side a is twice side b, and side c is 1 cm longer than side a. Find the side lengths.

Problem 6012

The weekly cost CCC for producing xxx units is C(x)=50x+2250C(x)=50x+2250C(x)=50x+2250, with x(t)=60tx(t)=60tx(t)=60t. (a) Find (C∘x)(t)(C \circ x)(t)(C∘x)(t). (b) Calculate the cost for 4 hours. (c) Determine time for cost to reach \$15,000.

Problem 6013

Calculate the slope of the line connecting the points (−4,9)(-4,9)(−4,9) and (10,−6)(10,-6)(10,−6).

Problem 6014

The shorter leg is 8ft8 \mathrm{ft}8ft less than the longer leg, and the hypotenuse is 8ft8 \mathrm{ft}8ft more than the longer leg. Find the lengths.

Problem 6015

Determine the final function after shifting y=xy=\sqrt{x}y=x​ up 9 units, reflecting it about the yyy axis, and shifting left 3 units.

Problem 6016

Calculate 12815−7+715+1512 \frac{8}{15}-7+\frac{7}{15}+1512158​−7+157​+15 and simplify.

Problem 6017

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula Area=12×Base×HeightArea = \frac{1}{2} \times Base \times HeightArea=21​×Base×Height.

Problem 6018

Find the lengths of sides a, b, and c of a polygon with a perimeter of 25 m25 \mathrm{~m}25 m, given specific relationships between sides.

Problem 6019

Find the side lengths of a right triangle where the longer leg is 3 m3 \mathrm{~m}3 m longer than the shorter leg, and the hypotenuse is 6 m6 \mathrm{~m}6 m longer than the shorter leg.

Problem 6020

Find the side lengths of a right triangle with hypotenuse 10 cm10 \mathrm{~cm}10 cm, where one leg is 2 cm2 \mathrm{~cm}2 cm shorter than the other.

Problem 6021

A student has 174 cm of ribbon. Each bow needs 20 cm. How many bows can be made and how much ribbon is left?

Problem 6022

A right triangle has a hypotenuse of 10 cm10 \mathrm{~cm}10 cm. The shorter leg is 2 cm2 \mathrm{~cm}2 cm less than the longer leg. Find the sides.

Problem 6023

Calculate −189.987−30.87-189.987 - 30.87−189.987−30.87. What is the result?

Problem 6024

Find the average yearly salaries of individuals with a bachelor's and master's degree, given their combined earnings of \$124,000.

Problem 6025

Find the side lengths of a right triangle where the longer leg is 19 cm19 \mathrm{~cm}19 cm more than 555 times the shorter leg and the hypotenuse is 20 cm20 \mathrm{~cm}20 cm more than 555 times the shorter leg.

Problem 6026

Find UWUWUW given UV=5UV=5UV=5, VW=x+5VW=x+5VW=x+5, and UW=6xUW=6xUW=6x.

Problem 6027

Un triángulo rectángulo tiene un cateto más largo que el más corto en 4 cm4 \mathrm{~cm}4 cm y la hipotenusa es 8 cm8 \mathrm{~cm}8 cm más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto G∥cm\mathbf{G} \| \mathrm{cm}G∥cm.

Problem 6028

Find the drug amount D(h)=9e−0.4hD(h)=9e^{-0.4h}D(h)=9e−0.4h after 5 hours. Round to two decimals.

Problem 6029

Set up and solve the equation for Joe's miles driven if he was reimbursed \$ 260 for lodging and travel costs.

Problem 6030

Find the cost function C(x)C(x)C(x) for canoes with fixed cost \$20000, production cost \$40, and selling price \$80.

Problem 6031

Determine the final function after shifting y=∣x∣y=|x|y=∣x∣ up 7 units, reflecting it over the x−x-x− axis, and shifting right 9 units.

Problem 6032

Write the line equation in point-slope and slope-intercept forms with slope =−7=-7=−7 and passing through (−8,−3)(-8,-3)(−8,−3).

Problem 6033

One scoop of rice weighs 393^{9}39 mg. a. Find weight of sss scoops: 39⋅s3^{9} \cdot s39⋅s. Weight of 5 scoops? b. A grain weighs 333^{3}33 mg. How many grains in 1 scoop?

Problem 6034

Find the mass of a butter cube with dimensions 10.0 cm×10.0 cm×10.0 cm10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}10.0 cm×10.0 cm×10.0 cm and density 0.9 g/cm30.9 \mathrm{~g/cm^3}0.9 g/cm3.

Problem 6035

Kane runs 3 miles and increases by 14\frac{1}{4}41​ mile each week. Write an expression for distance after www weeks.

Problem 6036

Write the expanded notation for 412.638 using fractions and decimals. What did Nancy and Charles write?

Problem 6037

Find the volume of a box with dimensions 6 in, 7 in, 8 in in liters. (2.54 cm = 1 in). Also, convert 80 m/s to mph.

Problem 6038

Identify outliers using the interquartile range from the five-number summary: Min \$35,263, Q1 \$150,000, Median \$738,703.5, Q3 \$1,711,568, Max \$5,704,790.

Problem 6039

Polygon AAA has sides 2.52.52.5, 2.52.52.5, 1.51.51.5, angles 53∘53^\circ53∘, 82∘82^\circ82∘. Polygon BBB has one side 555. a. Find the scale factor from AAA to BBB. b. Calculate the unknown side lengths in BBB. c. Find the unknown angles in AAA.

Problem 6040

The first side of a triangle is $8 \mathrm{~m}$ shorter than the second side. The third side is 4 times the first side. The perimeter is $26 \mathrm{~m}$ . Find the length of each side.

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula $S = (n-2) \times 180$ where $n = 8$ .

Iko's temperature changed by +11° and then -14°. Write the expression and find the net change: $+11 + (-14) = -3°$ What is the net change?

Find the function $(A \circ r)(t)$ if the radius $r(t)$ of ripples in a pond is known, where $A(r)=\pi r^{2}$ .

Find and interpret $(A \circ r)(t)$ where $r(t)=0.7 t$ and $A(r)=\pi r^{2}$ .

The perimeter of a triangle is $76 \mathrm{~cm}$ . If side $a$ is twice $b$ and $c$ is $1 \mathrm{~cm}$ longer than $a$ , find the lengths of $a$ , $b$ , and $c$ .

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

The weekly cost $C$ for producing $x$ units is $C(x)=50x+2250$ , with $x(t)=60t$ .
(a) Find $(C \circ x)(t)$ . (b) Calculate the cost for 4 hours. (c) Determine time for cost to reach \$15,000.

Calculate the slope of the line connecting the points $(-4,9)$ and $(10,-6)$ .

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

Determine the final function after shifting $y=\sqrt{x}$ up 9 units, reflecting it about the $y$ axis, and shifting left 3 units.

Calculate $12 \frac{8}{15}-7+\frac{7}{15}+15$ and simplify.

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

Find the lengths of sides a, b, and c of a polygon with a perimeter of $25 \mathrm{~m}$ , given specific relationships between sides.

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

A right triangle has a hypotenuse of $10 \mathrm{~cm}$ . The shorter leg is $2 \mathrm{~cm}$ less than the longer leg. Find the sides.

Calculate $-189.987 - 30.87$ . What is the result?

Find the side lengths of a right triangle where the longer leg is $19 \mathrm{~cm}$ more than $5$ times the shorter leg and the hypotenuse is $20 \mathrm{~cm}$ more than $5$ times the shorter leg.

Find $UW$ given $UV=5$ , $VW=x+5$ , and $UW=6x$ .

Un triángulo rectángulo tiene un cateto más largo que el más corto en $4 \mathrm{~cm}$ y la hipotenusa es $8 \mathrm{~cm}$ más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto $\mathbf{G} \| \mathrm{cm}$ .

Find the drug amount $D(h)=9e^{-0.4h}$ after 5 hours. Round to two decimals.

Find the cost function $C(x)$ for canoes with fixed cost \$20000, production cost \$40, and selling price \$80.

Determine the final function after shifting $y=|x|$ up 7 units, reflecting it over the $x-$ axis, and shifting right 9 units.

Write the line equation in point-slope and slope-intercept forms with slope $=-7$ and passing through $(-8,-3)$ .

One scoop of rice weighs $3^{9}$ mg. a. Find weight of $s$ scoops: $3^{9} \cdot s$ . Weight of 5 scoops? b. A grain weighs $3^{3}$ mg. How many grains in 1 scoop?

Find the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

Kane runs 3 miles and increases by $\frac{1}{4}$ mile each week. Write an expression for distance after $w$ weeks.

Polygon $A$ has sides $2.5$ , $2.5$ , $1.5$ , angles $53^\circ$ , $82^\circ$ . Polygon $B$ has one side $5$ .
a. Find the scale factor from $A$ to $B$ .
b. Calculate the unknown side lengths in $B$ .
c. Find the unknown angles in $A$ .

Find the mass in grams of a liquid with density $1.15 \mathrm{~g} / \mathrm{mL}$ to fill a 50.00 - $\mathrm{mL}$ container. Use algebraic manipulation.

Conner did sit-ups on Mon, Tue, Wed. Write the total in standard form: $600+20+4$ . If 3 students read 4 books each, total books: $3 \times 4$ .

Which extreme temperature in Rapid City, $-19^{\circ} \mathrm{F}$ or $92^{\circ} \mathrm{F}$ , is closer to the average of $45.2^{\circ} \mathrm{F}$ ?

How long in minutes does a snail take to cross a $1.3^{12}$ foot road at 1.3 feet/min? Answer with exponents.

How long in minutes does a snail moving at $1.3^{3}$ ft/min take to cross a $1.3^{12}$ ft wide road? Use exponents.

Calculate the central angle $\theta$ (in degrees) for a circle with radius 15 inches and arc length 10 inches. Round to the nearest hundredth.

Find the distance difference between Circleville to Columbus ( $28.5$ mi) and Circleville to Lancaster to Columbus ( $20.83 + 29.8$ mi).

Identify the rational numbers from the list: A. 0, B. $5.73773777 \ldots$ , C. $-\frac{6}{5}$ , D. $\sqrt{48}$ , E. 8, F. -8.

Calculate the arc length of a circle with radius 12 inches and central angle $\frac{3}{4} \pi$ radians. Round to two decimals.

Calculate the area of a parallelogram with base $3.5$ units and height $3$ units.

Calculate the total distance walked in two round trips around a path with two 300 m segments and an $80^{\circ}$ arc.

Find the coordinate of $P$ as the weighted average of points $A(-9, 2)$ and $D(2, 3)$ . Use an improper fraction if needed.

How many batches of buttermilk pancakes can be made with 6 cups of buttermilk if each batch needs $\frac{7}{8}$ cup?

Find the model wingspan if the actual wingspan is 211 feet and the scale is 1 in: $40 \mathrm{ft}$ .

What is the name of the compound $\mathrm{Cu}_{3} \mathrm{P}_{2}$ ?

Calculate the energy in joules to ionize a hydrogen atom from the $n=6$ level, knowing ground-state ionization is $2.18 \times 10^{-18} \mathrm{~J}$ .

An art collector bought a painting for \ $2.3 million and sold it for \$4.1 million. Find her profit:$ 4.1 - 2.3$.

Find $\lim _{x \rightarrow-1^{+}} f(x)$ for the function $f(x)$ with a hole at $x=-5$ and a value at $x=-1$ .

Find the wavelength of photons from hydrogen transitioning from $n=4$ to $n=3$ in $\mathrm{nm}$ and identify the spectrum region: A. ultraviolet or B. X-ray.

What is the map length for an actual distance of 70 miles, given the scale $1 / 2$ inch $=20$ miles?

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

Calculate the total number of leaves that have fallen by the end of the $18^{\text{th}}$ day if they quadruple daily, starting from 1.

Model the city's population growth from 2020 ( $1,596,000$ with a $3.5\%$ annual increase) using the function $f(x)$ .

Find the balance on a credit card after 9 months using $f(x)=500(1+0.13)^{x}$ . Round to the nearest cent.

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in $=45$ feet, how tall is the model?