Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Solve each problem by applying the four steps of problem solving. Use the strategy of solving an algebraic equation for each problem. You have enough wallpaper to cover 240 square feet. If your walls are 8 feet high, how wide a wall can you paper?

Short Answer

Expert verified
Answer: The width of the wall that can be covered by the available wallpaper is 30 feet.

Step by step solution

01

Write down the given information and equation.

We have the following information: - Area of wallpaper: 240 square feet - Height of walls: 8 feet - Width of wall: unknown We can use the formula Area = Height × Width to solve this problem.
02

Set up the equation.

Let's denote the width of the wall by the variable "w". We can then write the equation as: 240 = 8 × w
03

Solve for the width.

To solve for w, we'll divide both sides of the equation by 8: w = \frac{240}{8}
04

Calculate the result.

Now we can calculate the width by dividing 240 by 8: w = 30 So, the width of the wall that can be covered by the available wallpaper is 30 feet.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

To convert from degrees Fahrenheit to degrees Celsius, use the following formula. $$C=5(F-32) \div 9$$ a. Convert \(86^{\circ} \mathrm{F}\) into degrees Celsius. b. What is a temperature of \(41^{\circ} \mathrm{F}\) equal to in degrees Celsius?
Rewrite each expression by combining like terms. A \(14 x-8 x+7 y+5 y\) B. \(2 s+11 t+9 s+3 t+14\) C. \(10 x+8 y+2 x-6 y\) D. \(5 b+12 t+t+9 b-6\) E. \(27 p+39 n+12 p+2 n+5 n\) F. \(252 w-181 w+130 z+65 z+175 y-88 y\)
The formula \(h=80 t-16 t^{2}\) gives the height above the ground at time \(t\) for a ball that is thrown straight up in the air with an initial velocity of 80 feet per second. a. Complete a table of values for the following input values: \(t=0,1,2,3,4,\) and 5 seconds. b. Plot the input/output pairs from the table in part a on the coordinate system, and connect them in a smooth curve. c. Use the graph to estimate how high above the ground the ball will get. d. From the graph, when will the ball be 100 feet above the ground? e. When will the ball hit the ground? Give a reason for your answer.
a. Write a formula for the area of grass, \(A\), you can mow in \(t\) seconds if you can mow 12 square feet per second. b. How many square feet can be mowed in 30 seconds? c. How long will it take to mow 600 square feet? Write an equation and then solve.
You work at a local restaurant. You are paid \(\$ 8.00\) per hour up to the first 40 hours per week, and \(\$ 12.00\) per hour for any hours over 40 (overtime hours). a. Let \(h\) represent the hours you work in one week and \(p\) your total pay for one week. Complete the input/output table. b. Plot the input/output pairs from the table in part a on the following coordinate system.
See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free