Word Problems

Problem 5001

Travis has a 4" x 6" photo. a) If enlarged to 16" wide, what is the new height? b) Can it be enlarged to 8" x 10"? Answer y or $n$ .

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Problem 5002

If 45 teaspoons of vegetable oil are used, how many teaspoons of vinegar are needed based on the ratio $9:6$ ?

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Problem 5003

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Problem 5004

Nick needs to find how much vinegar for 12 cups of olive oil if he uses $\frac{1}{4}$ cup per cup of oil. A. 6 cups B. $2 \frac{1}{2}$ cups C. $5 \frac{1}{4}$ cups D. 3 cups

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Problem 5005

What is the probability a student has a part-time job given they have a cell phone, if $P(A) = 0.8$ , $P(B) = 0.45$ , and $P(A \cap B) = 0.3$ ?

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Problem 5006

Sketch the graph of $f(x)=3(x+1)^{2}-1$ , find the axis of symmetry, domain, and range. Use vertex and intercepts.

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Problem 5007

What operation isolates $x$ in $8 x=72$ ? Options: A. +8 B. $\times \frac{1}{8}$ C. ÷8 D. ÷72 E. ÷ $8x$ F. $\times$ 8 G. - $8x$ . Also, solve $8x=72$ : $x=$ help (numbers).

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Problem 5008

Find the probability $\mathrm{P}$ (pool | not two-story) given $60\%$ two-story, $24\%$ with a pool, $15\%$ both.

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Problem 5009

Find the width and length of a rectangular area fenced along a river, where length is 7 ft greater than width, using 91 ft of fencing.

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Problem 5010

A car's distance is $s(t)$ in feet after $t$ seconds. Estimate its velocity at $t=6$ using options (A) to (D).

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Problem 5011

Calculate the total cost for 32 guests at an ice cream social with a \$40 shelter fee and \$9 per guest.

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Problem 5012

Write a linear equation for total cost $y$ with $x$ guests, given shelter cost is \$40 and ice cream is \$9 per guest.

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Problem 5013

Destiny's ice cream social costs \$ 40 plus \$ 9 per guest. Find guests if the total bill is \$ 256.

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Problem 5014

Find the line equation through $(-4,1)$ that is perpendicular to $-3x + 4y = 9$ .

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Problem 5015

Carly has a white cord of length $4.3$ feet and a green cord of length $7.3$ feet. What is their total length when connected?

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Problem 5016

How much more pepperoni than sausage did the chef use if he used $114 / 5$ packages of pepperoni and $41 / 3$ packages of sausage?

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Problem 5017

Solve the inequality $\frac{3 x-5}{-3}>5$ and provide the solution set in interval and graph forms.

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Problem 5018

A plumber has 19 handles for 9 sinks. Each sink needs 2 handles (hot and cold). Does he have enough?

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Problem 5019

For what number of checks per month does the Simple Checking plan ( $4 + 0.15x$ ) cost less than the No Frills plan ( $0.35x$ )?

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Problem 5020

If the average precipitation for Oct, Nov, Dec is 4.91 in, find Dec's rainfall needed to exceed this average.

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Problem 5021

Find the weight range $w$ for a healthy BMI (19-25) at heights: (a) 75 in., (b) 74 in., (c) 78 in. Round to nearest lb.

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Problem 5022

Laurie's candy dispenser dispenses candy tripling for each pound per square inch of pressure. Is this a relation, function, both, or neither?

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Problem 5023

The sides of a triangle are in a ratio of $2:3:4$ . If the perimeter is $63$ in, find the longest side.

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Problem 5024

Amir buys 3 cakes at $c$ cents each and 2 loaves at $(2c-11)$ cents. Total spent is \ $5.87. Find$ c$.

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Problem 5025

Let $x$ be the unknown. Write and solve the equation: $x + 5 = -25$ .

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Problem 5026

Write an equation for "The sum of a number and 5 is -25" and solve for $x$ . What is the equation?

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Problem 5027

Find the weight range $w$ for a healthy BMI (19-25) using $\mathrm{BMI}=\frac{704 \times \text{weight}}{\text{height}^2}$ for heights: 75 in, 74 in, 78 in.

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Problem 5028

If total rainfall is $7/16$ inch, how much fell in the second half of the month? Answer as a fraction or mixed number.

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Problem 5029

How much longer is Tammy's drive ( $\frac{2}{3}$ hour) than Nina's ( $\frac{1}{4}$ hour)? Answer as a fraction or mixed number.

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Problem 5030

Find the production level $x$ where revenue $R=26x$ is less than cost $C=91,000+19x$ . What is $x$ ?

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Problem 5031

Find the production level $x$ where revenue $R=29x$ is less than cost $C=90,000+19x$ . When does R < C?

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Problem 5032

Alex buys equal bottles of water at $\$ w$ and juice at $\$(w+1)$ . He spends \ $22 on water and \$42 on juice. Find$ w$.

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Problem 5033

Find the weight range $w$ (to nearest pound) for a healthful BMI (19-25) using $BMI=\frac{704 \times(\text{weight})}{(\text{height})^2}$ . Heights: (a) 66 in, (b) 78 in, (c) 73 in.

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Problem 5034

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

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Problem 5035

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

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Problem 5036

Calculate the volume of a rectangular prism with length $14.25 \, \text{ft}$ , width $13 \, \text{ft}$ , and height $4 \frac{1}{5} \, \text{ft}$ using $V=lwh$ .

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Problem 5037

Ian's diet is $30\%$ fat and $50\%$ carbs. If he eats $3,000 \mathrm{kcal}$ , what % of protein is he consuming? a) $10\%$ b) $20\%$ c) $30\%$ d) $40\%$

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Problem 5038

Find $R S$ if $S$ is the midpoint of $\overline{R T}$ , $R S=5 x+17$ , and $S T=8 x-31$ .

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Problem 5039

An alloy is made by mixing 28g of 15% copper and 100g of 55% copper. Find the grams and percentage of copper in the mixture.

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Problem 5040

Nicole and Chris each deposit \$90,000 at 3\% interest. Calculate their interest for the first three years and compare.

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Problem 5041

Bestimmen Sie die Funktionsgleichungen für die angegebenen Punkte und Extrempunkte bei ganzrationalen Funktionen.

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Problem 5042

Nicole and Chris each deposit \$20,000 at 2\% interest. Find their earnings for 3 years and compare.

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Problem 5043

Ian's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many kcal is he getting from Protein? a) $400 \mathrm{kcal}$ b) $500 \mathrm{kcal}$ c) $600 \mathrm{kcal}$ d) $700 \mathrm{kcal}$

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Problem 5044

Alonzo deposited \$12,000 at 6% and \$4,000 at 5%. Find: (a) total interest after 1 year and (b) total percent interest earned.

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Problem 5045

Ian's diet is 30% fat, 50% carbs, and 20% protein from 3000 kcal. How many grams of protein is he eating? Options: a) 150 b) 200 c) 300.

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Problem 5046

Karen invested \$3000 at 5\% and \$7000 at 4\%. Find total interest after 1 year and overall percent interest.

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Problem 5047

Find the exact value of $\sin \left(-300^{\circ}\right)$ using reference angles.

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Problem 5048

Laura and Eric each deposit \$70,000 at 6\% interest. Calculate their yearly interest for 3 years and compare.

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Problem 5049

Debra deposits \$30,000 at 4\% compounded annually, while Dan uses simple interest. Calculate their interest for 3 years and compare.

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Problem 5050

Debra and Dan each deposit \$30,000 at 4\% interest. Calculate their yearly interest for 3 years and compare.

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Problem 5051

Find angles $\angle 1$ and $\angle 2$ where $\angle 2$ is supplementary to $\angle 1$ and $m \angle 2 = 2m \angle 1 + 36^\circ$ .

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Problem 5052

Find angles $\angle 1$ and $\angle 2$ where $\angle 2$ is a supplement and $36^{\circ}$ more than $2 \times \angle 1$ .

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Problem 5053

Amy deposits \$60,000 at 3\% annual compound interest, Bill at 3\% simple interest. Calculate their interest for 3 years.

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Problem 5054

Ian's diet has 30% fat and 50% carbs in 3,000 kcal. How many kcal are from carbs? a) 500 b) 1000 c) 1500 d) 2000

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Problem 5055

Un poisson voit un disque lumineux de rayon $r=3.0 \, m$ à la surface d'un lac (indice $n=1.33$ ). Quelle est sa profondeur?

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Problem 5056

Lena deposited \$5000 at a 4.4% annual interest rate, compounded quarterly. How long to grow to \$6000? Round to the nearest hundredth.

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Problem 5057

Ian's diet has $30\%$ fat and $50\%$ carbs in a $3,000 \mathrm{kcal}$ total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

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Problem 5058

Jessica and Tom each deposit \$10,000 at 2% interest. Calculate their interest for 3 years and compare who earns more each year.

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Problem 5059

Find $D E$ given that $B$ is the midpoint of $A C$ , $A C=C D$ , $A B=3 x+4$ , $A C=11 x-17$ , and $C E=49$ .

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Problem 5060

Is Frank's 1,200 calorie diet (20\% carbs) providing at least 130 grams of carbs? Calculate carbs in calories.

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Problem 5061

Calculate the relative frequency of plane crash causes: pilot error, other human error, weather, mechanical problems, and sabotage. Round to one decimal place.

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Problem 5062

Chang's trip to the mountains took 7 hours; the return took 5 hours at 18 mph faster. Find the distance to the mountains.

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Problem 5063

Two trains start 420 miles apart, one at 85 mph and the other at 65 mph. How long until they meet?

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Problem 5064

Two cars start 400 km apart, meet in 2 hours. One is 18 km/h slower. Find the speed of the slower car.

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Problem 5065

What percent $n$ of 20 equals 4? Find $n$ .

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Problem 5066

11% di 20 è 4, qual è il valore di 11?

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Problem 5067

If 11% of 20 equals 4, what is the value of 11?

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Problem 5068

Name a point that is not in the same plane as points A, B, and C.

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Problem 5069

Find three consecutive integers that add up to 339. Let the smallest be $n$ , then the integers are $n$ , $n+1$ , and $n+2$ .

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Problem 5070

Find the side length of a square with the same area as a right triangle with sides 6, 8, and 10.

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Problem 5071

Identify the quantitative variable among: monthly electric bill, square footage, monthly gas bill, or all of the above.

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Problem 5072

Solve for $x$ and angle $LKM$ given that angle $LKM = 7x - 8$ and angle $NKM = x + 1$ .

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Problem 5073

Find the sum of $5.3 \times 10^{5}$ and $3.8 \times 10^{4}$ in scientific notation.

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Problem 5074

Find $A C$ if line $y$ bisects $A C$ , where $A B=4-5 x$ and $B C=2 x+25$ . Solve: $4-5 x=2 x+25$

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Problem 5075

Find the length of $A C$ if line $y$ bisects $A C$ , $A B=4-5 x$ , and $B C=2 x+25$ .

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Problem 5076

Kevin and Greg inherit \ $43000 each. After 1 year, how much more does Greg have than Kevin if he earns$ 5.3 \% $vs.$ 1.7 \%$?

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Problem 5077

How many hours does Nisha need to make 64 pairs of ghungroos using the equation $y=4.75 x-2.5$ ?

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Problem 5078

Find the shortest distance between Stan and Wei, given Jeff's locations: 12 miles east of Stan and 16 miles north of Wei.

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Problem 5079

Find $DE$ if $DF = 42$ , $DE = 7x + 1$ , $EF = 4x - 3$ , and $DF = DE + EF$ .

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Problem 5080

Determine the type of triangle formed by sides 60 cm, 100 cm, and 40 cm: unique, similar, or none?

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Problem 5081

Juego de dados: Tira 3 dados de 4 caras. Gana un punto si suma 7 o 10, pierde si suma 3, 4, 5 o 12. Responde las preguntas sobre probabilidades.

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Problem 5082

Charles and Mark inherit \ $46000 each. After 1 year, how much more does Mark have than Charles if he earns$ 5.3 \% $vs.$ 1.8 \%$?

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Problem 5083

Deon invests \$2000 at 7.5\% compounded semiannually. How long to reach \$4000? Round to the nearest hundredth.

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Problem 5084

What is the probability of moving forward an even number of spaces when spinning a pointer and rolling a number cube?

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Problem 5085

Write the inequality for $y < -5$ .

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Problem 5086

If $x$ is negative and $2|x|+1>5$ , what must be true about $x$ ?

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Problem 5087

Natalie leaves a $23\%$ tip on a \$13.56 bill. How much does she pay in total? Round to the nearest cent.

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Problem 5088

In $\triangle Q R S$ , if $\sin R=\cos S$ , what can you conclude about $\angle R$ and $\angle S$ ?

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Problem 5089

Maria and John each deposit \$90,000 at 6\% interest. Calculate their interest for 3 years and compare who earns more.

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Problem 5090

Which data type suggests a linear relationship: water level vs. date, workout time vs. strength, books returned vs. date, or dog ages vs. heights?

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Problem 5091

Find three consecutive integers that add up to 345. Let the smallest be $n$ , so the integers are $n$ , $n+1$ , $n+2$ .

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Problem 5092

Ann and Jim each deposit \$40,000 at 4% interest. Calculate their annual interest for 3 years and compare who earns more.

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Problem 5093

A 15 ft sliding board is at a $40^{\circ}$ angle. Find the height to the nearest tenth.

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Problem 5094

Calculate the % abundance of ${ }^{87} \mathrm{Rb}$ if Rubidium's atomic mass is 85.47 amu, with isotopes ${ }^{85} \mathrm{Rb}$ and ${ }^{87} \mathrm{Rb}$ .

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Problem 5095

Find the volume of a cylinder with radius 8 cm and height 6 cm using $\pi \approx 3.14$ . Choices: $301.44 \mathrm{~cm}^{3}$ , $150.72 \mathrm{~cm}^{3}$ , $904.32 \mathrm{~cm}^{3}$ , $226.08 \mathrm{~cm}^{3}$ .

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Problem 5096

Ann deposits \$40,000 at 4\% compounded annually, while Jim deposits \$40,000 at 4\% simple interest. Calculate their interest for 3 years and compare.

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Problem 5097

Find the volume of an oblique cylinder with radius 5 cm and height 12 cm using $\pi \approx 3.14$ . Options: 1) $377 \mathrm{~cm}^{3}$ 2) $1,021 \mathrm{~cm}^{3}$ 3) $534 \mathrm{~cm}^{3}$ 4) $942 \mathrm{~cm}^{3}$

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Problem 5098

Reflect the point $P(-6,6)$ over the $y$ -axis. What are the coordinates of $P^{\prime}$ ?

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Problem 5099

Ann deposits \$40,000 at 4% annual compound interest. Jim deposits \$40,000 at 4% simple interest. Find their interest for 3 years.

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Problem 5100

Given points $A(5,19)$ , $B(17,3)$ , $C(11,1)$ , and $D(20.6,8.2)$ , which slopes confirm diameter $\overline{A B}$ bisects chord $\overline{C D}$ ?

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Word Problems

Problem 5001

Travis has a 4" x 6" photo. a) If enlarged to 16" wide, what is the new height? b) Can it be enlarged to 8" x 10"? Answer y or nnn.

Problem 5002

If 45 teaspoons of vegetable oil are used, how many teaspoons of vinegar are needed based on the ratio 9:69:69:6?

Problem 5003

Problem 5004

Nick needs to find how much vinegar for 12 cups of olive oil if he uses 14\frac{1}{4}41​ cup per cup of oil. A. 6 cups B. 2122 \frac{1}{2}221​ cups C. 5145 \frac{1}{4}541​ cups D. 3 cups

Problem 5005

What is the probability a student has a part-time job given they have a cell phone, if P(A)=0.8P(A) = 0.8P(A)=0.8, P(B)=0.45P(B) = 0.45P(B)=0.45, and P(A∩B)=0.3P(A \cap B) = 0.3P(A∩B)=0.3?

Problem 5006

Sketch the graph of f(x)=3(x+1)2−1f(x)=3(x+1)^{2}-1f(x)=3(x+1)2−1, find the axis of symmetry, domain, and range. Use vertex and intercepts.

Problem 5007

What operation isolates xxx in 8x=728 x=728x=72? Options: A. +8 B. ×18\times \frac{1}{8}×81​ C. ÷8 D. ÷72 E. ÷8x8x8x F. ×\times×8 G. -8x8x8x. Also, solve 8x=728x=728x=72: x=x=x= help (numbers).

Problem 5008

Find the probability P\mathrm{P}P (pool | not two-story) given 60%60\%60% two-story, 24%24\%24% with a pool, 15%15\%15% both.

Problem 5009

Find the width and length of a rectangular area fenced along a river, where length is 7 ft greater than width, using 91 ft of fencing.

Problem 5010

A car's distance is s(t)s(t)s(t) in feet after ttt seconds. Estimate its velocity at t=6t=6t=6 using options (A) to (D).

Problem 5011

Calculate the total cost for 32 guests at an ice cream social with a \$40 shelter fee and \$9 per guest.

Problem 5012

Write a linear equation for total cost yyy with xxx guests, given shelter cost is \$40 and ice cream is \$9 per guest.

Problem 5013

Destiny's ice cream social costs \$ 40 plus \$ 9 per guest. Find guests if the total bill is \$ 256.

Problem 5014

Find the line equation through (−4,1)(-4,1)(−4,1) that is perpendicular to −3x+4y=9-3x + 4y = 9−3x+4y=9.

Problem 5015

Carly has a white cord of length 4.34.34.3 feet and a green cord of length 7.37.37.3 feet. What is their total length when connected?

Problem 5016

How much more pepperoni than sausage did the chef use if he used 114/5114 / 5114/5 packages of pepperoni and 41/341 / 341/3 packages of sausage?

Problem 5017

Solve the inequality 3x−5−3>5\frac{3 x-5}{-3}>5−33x−5​>5 and provide the solution set in interval and graph forms.

Problem 5018

A plumber has 19 handles for 9 sinks. Each sink needs 2 handles (hot and cold). Does he have enough?

Problem 5019

For what number of checks per month does the Simple Checking plan (4+0.15x4 + 0.15x4+0.15x) cost less than the No Frills plan (0.35x0.35x0.35x)?

Problem 5020

If the average precipitation for Oct, Nov, Dec is 4.91 in, find Dec's rainfall needed to exceed this average.

Problem 5021

Find the weight range www for a healthy BMI (19-25) at heights: (a) 75 in., (b) 74 in., (c) 78 in. Round to nearest lb.

Problem 5022

Laurie's candy dispenser dispenses candy tripling for each pound per square inch of pressure. Is this a relation, function, both, or neither?

Problem 5023

The sides of a triangle are in a ratio of 2:3:42:3:42:3:4. If the perimeter is 636363 in, find the longest side.

Problem 5024

Amir buys 3 cakes at ccc cents each and 2 loaves at (2c−11)(2c-11)(2c−11) cents. Total spent is \5.87.Find5.87. Find 5.87.Findc$.

Problem 5025

Let xxx be the unknown. Write and solve the equation: x+5=−25x + 5 = -25x+5=−25.

Problem 5026

Write an equation for "The sum of a number and 5 is -25" and solve for xxx. What is the equation?

Problem 5027

Find the weight range www for a healthy BMI (19-25) using BMI=704×weightheight2 \mathrm{BMI}=\frac{704 \times \text{weight}}{\text{height}^2} BMI=height2704×weight​ for heights: 75 in, 74 in, 78 in.

Problem 5028

If total rainfall is 7/167/167/16 inch, how much fell in the second half of the month? Answer as a fraction or mixed number.

Problem 5029

How much longer is Tammy's drive (23\frac{2}{3}32​ hour) than Nina's (14\frac{1}{4}41​ hour)? Answer as a fraction or mixed number.

Problem 5030

Find the production level xxx where revenue R=26xR=26xR=26x is less than cost C=91,000+19xC=91,000+19xC=91,000+19x. What is xxx?

Problem 5031

Find the production level xxx where revenue R=29xR=29xR=29x is less than cost C=90,000+19xC=90,000+19xC=90,000+19x. When does R < C?

Problem 5032

Alex buys equal bottles of water at $w\$ w$w and juice at $(w+1)\$(w+1)$(w+1). He spends \22onwaterand$42onjuice.Find22 on water and \$42 on juice. Find 22onwaterand$42onjuice.Findw$.

Problem 5033

Find the weight range www (to nearest pound) for a healthful BMI (19-25) using BMI=704×(weight)(height)2BMI=\frac{704 \times(\text{weight})}{(\text{height})^2}BMI=(height)2704×(weight)​. Heights: (a) 66 in, (b) 78 in, (c) 73 in.

Problem 5034

Calculate the total cost for 5345 \frac{3}{4}543​ pounds of beef at \$4.99 per pound.

Problem 5035

Calculate the total cost for 5345 \frac{3}{4}543​ pounds of beef at \$4.99 per pound.

Problem 5036

Calculate the volume of a rectangular prism with length 14.25 ft14.25 \, \text{ft}14.25ft, width 13 ft13 \, \text{ft}13ft, and height 415 ft4 \frac{1}{5} \, \text{ft}451​ft using V=lwhV=lwhV=lwh.

Problem 5037

Ian's diet is 30%30\%30% fat and 50%50\%50% carbs. If he eats 3,000kcal3,000 \mathrm{kcal}3,000kcal, what % of protein is he consuming? a) 10%10\%10% b) 20%20\%20% c) 30%30\%30% d) 40%40\%40%

Problem 5038

Find RSR SRS if SSS is the midpoint of RT‾\overline{R T}RT, RS=5x+17R S=5 x+17RS=5x+17, and ST=8x−31S T=8 x-31ST=8x−31.

Problem 5039

An alloy is made by mixing 28g of 15% copper and 100g of 55% copper. Find the grams and percentage of copper in the mixture.

Problem 5040

Nicole and Chris each deposit \$90,000 at 3\% interest. Calculate their interest for the first three years and compare.

Travis has a 4" x 6" photo. a) If enlarged to 16" wide, what is the new height? b) Can it be enlarged to 8" x 10"? Answer y or $n$ .

If 45 teaspoons of vegetable oil are used, how many teaspoons of vinegar are needed based on the ratio $9:6$ ?

Nick needs to find how much vinegar for 12 cups of olive oil if he uses $\frac{1}{4}$ cup per cup of oil. A. 6 cups B. $2 \frac{1}{2}$ cups C. $5 \frac{1}{4}$ cups D. 3 cups

What is the probability a student has a part-time job given they have a cell phone, if $P(A) = 0.8$ , $P(B) = 0.45$ , and $P(A \cap B) = 0.3$ ?

Sketch the graph of $f(x)=3(x+1)^{2}-1$ , find the axis of symmetry, domain, and range. Use vertex and intercepts.

What operation isolates $x$ in $8 x=72$ ? Options: A. +8 B. $\times \frac{1}{8}$ C. ÷8 D. ÷72 E. ÷ $8x$ F. $\times$ 8 G. - $8x$ . Also, solve $8x=72$ : $x=$ help (numbers).

Find the probability $\mathrm{P}$ (pool | not two-story) given $60\%$ two-story, $24\%$ with a pool, $15\%$ both.

A car's distance is $s(t)$ in feet after $t$ seconds. Estimate its velocity at $t=6$ using options (A) to (D).

Write a linear equation for total cost $y$ with $x$ guests, given shelter cost is \$40 and ice cream is \$9 per guest.

Find the line equation through $(-4,1)$ that is perpendicular to $-3x + 4y = 9$ .

Carly has a white cord of length $4.3$ feet and a green cord of length $7.3$ feet. What is their total length when connected?

How much more pepperoni than sausage did the chef use if he used $114 / 5$ packages of pepperoni and $41 / 3$ packages of sausage?

Solve the inequality $\frac{3 x-5}{-3}>5$ and provide the solution set in interval and graph forms.

For what number of checks per month does the Simple Checking plan ( $4 + 0.15x$ ) cost less than the No Frills plan ( $0.35x$ )?

Find the weight range $w$ for a healthy BMI (19-25) at heights: (a) 75 in., (b) 74 in., (c) 78 in. Round to nearest lb.

The sides of a triangle are in a ratio of $2:3:4$ . If the perimeter is $63$ in, find the longest side.

Amir buys 3 cakes at $c$ cents each and 2 loaves at $(2c-11)$ cents. Total spent is \ $5.87. Find$ c$.

Let $x$ be the unknown. Write and solve the equation: $x + 5 = -25$ .

Write an equation for "The sum of a number and 5 is -25" and solve for $x$ . What is the equation?

Find the weight range $w$ for a healthy BMI (19-25) using $\mathrm{BMI}=\frac{704 \times \text{weight}}{\text{height}^2}$ for heights: 75 in, 74 in, 78 in.

If total rainfall is $7/16$ inch, how much fell in the second half of the month? Answer as a fraction or mixed number.

How much longer is Tammy's drive ( $\frac{2}{3}$ hour) than Nina's ( $\frac{1}{4}$ hour)? Answer as a fraction or mixed number.

Find the production level $x$ where revenue $R=26x$ is less than cost $C=91,000+19x$ . What is $x$ ?

Find the production level $x$ where revenue $R=29x$ is less than cost $C=90,000+19x$ . When does R < C?

Alex buys equal bottles of water at $\$ w$ and juice at $\$(w+1)$ . He spends \ $22 on water and \$42 on juice. Find$ w$.

Find the weight range $w$ (to nearest pound) for a healthful BMI (19-25) using $BMI=\frac{704 \times(\text{weight})}{(\text{height})^2}$ . Heights: (a) 66 in, (b) 78 in, (c) 73 in.

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

Calculate the volume of a rectangular prism with length $14.25 \, \text{ft}$ , width $13 \, \text{ft}$ , and height $4 \frac{1}{5} \, \text{ft}$ using $V=lwh$ .

Ian's diet is $30\%$ fat and $50\%$ carbs. If he eats $3,000 \mathrm{kcal}$ , what % of protein is he consuming? a) $10\%$ b) $20\%$ c) $30\%$ d) $40\%$

Find $R S$ if $S$ is the midpoint of $\overline{R T}$ , $R S=5 x+17$ , and $S T=8 x-31$ .

Ian's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many kcal is he getting from Protein? a) $400 \mathrm{kcal}$ b) $500 \mathrm{kcal}$ c) $600 \mathrm{kcal}$ d) $700 \mathrm{kcal}$

Find the exact value of $\sin \left(-300^{\circ}\right)$ using reference angles.

Find angles $\angle 1$ and $\angle 2$ where $\angle 2$ is supplementary to $\angle 1$ and $m \angle 2 = 2m \angle 1 + 36^\circ$ .

Find angles $\angle 1$ and $\angle 2$ where $\angle 2$ is a supplement and $36^{\circ}$ more than $2 \times \angle 1$ .

Un poisson voit un disque lumineux de rayon $r=3.0 \, m$ à la surface d'un lac (indice $n=1.33$ ). Quelle est sa profondeur?

Ian's diet has $30\%$ fat and $50\%$ carbs in a $3,000 \mathrm{kcal}$ total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

Find $D E$ given that $B$ is the midpoint of $A C$ , $A C=C D$ , $A B=3 x+4$ , $A C=11 x-17$ , and $C E=49$ .

What percent $n$ of 20 equals 4? Find $n$ .

Find three consecutive integers that add up to 339. Let the smallest be $n$ , then the integers are $n$ , $n+1$ , and $n+2$ .

Solve for $x$ and angle $LKM$ given that angle $LKM = 7x - 8$ and angle $NKM = x + 1$ .

Find the sum of $5.3 \times 10^{5}$ and $3.8 \times 10^{4}$ in scientific notation.

Find $A C$ if line $y$ bisects $A C$ , where $A B=4-5 x$ and $B C=2 x+25$ . Solve: $4-5 x=2 x+25$