1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
muminat
2 years ago
7

Cynthia beach wants to buy a rug for a room that is 22 ft wide and 31 ft long.she wants to leave a uniform strip of floor around

the rug.she can afford to buy 580 square feet of carpeting.what dimensions should the rug have?
Mathematics
1 answer:
ss7ja [257]2 years ago
8 0

The dimensions the rug should have is 20 by 29

<h3>How to determine the dimension?</h3>

The dimension of the rug is given as:

22 ft by 31 ft

The area of the carpet is given as:

Area = 580

Represent the length of the empty space with x.

So, the dimension of the carpet is:

22 - 2x by 31 - 2x

The area is calculated as:

Area = (22 - 2x) * (31 - 2x)

Expand

Area = 682 - 62x - 44x + 4x^2

Evaluate the difference

Area = 682 -106x + 4x^2

Substitute Area = 580

682 -106x + 4x^2 = 580

Subtract 580 from both sides

102 -106x + 4x^2 = 0


Rewrite as:

4x^2 - 106x +102 = 0

Using a graphing calculator, we have:

x = 1 and x = 22.5

Substitute these values in 22 - 2x by 31 - 2x

So, we have:

Length = 22 - 2(1) = 20 or Length = 22 - 2(22.5) = -23

Width = 31 - 2(1) = 29 or Length = 31 - 2(22.5) = -14

The dimensions cannot be negative.

So, we have:

Length = 20 and Width = 29

Hence, the dimensions the rug should have is 20 by 29

Read more about areas at:

brainly.com/question/24487155

#SPJ1

You might be interested in
Ax+z=aw-y solve for a. show work please
dusya [7]
So the question is asking to covert the said formula by making the a as the solution or the ask of the said equation, well in that matter, I would say, base on my own conversion and further computation about the said equation, the value of a is (y+z)/(x+w).  I hope this would help 
5 0
3 years ago
What is 2*2^3 in expanded form?
katrin2010 [14]

Answer:

16

Step-by-step explanation:

To solve this question,we will have to understand some symbols in mathematics...

For example,* means ×

/ Means÷

We have so many of them

So back to the question

2*2^3 means 2 multiply by 2 raise to the power of 3

So 2^3 is 8

Therefore,2*8 means 2×8

It equals to 16

Therefore the final answer is 16

I hope you understand it better now

5 0
3 years ago
Is 1.7x^2 + 3.5 a cubic polynomial?
devlian [24]

Answer:

No, it is not.

Step-by-step explanation:

This is because if you look at the expression, there is no term that is raised to the cube root. As a result, this isn't a cubic polynomial. However, this would be a quadratic polynomial cause the highest raised exponent is 2, which is the number for quadratic.

If you liked my response, please consider giving me a Brainliest! Thanks!

8 0
3 years ago
Evaluate the expression if g+2, r+3, and t=11.<br> g+6t
Ivahew [28]

Answer:

I think you copied this wrong

Step-by-step explanation:

Most likely g = 2

Therefore (2) + 6(11)

2+66=68

5 0
3 years ago
WILL GIVE BRAINLEST
Aleonysh [2.5K]

Answer: D) 10 jerseys

Step-by-step explanation:

Let j represent the number of jerseys and C for total cost

Local company eqn: C = 5.25j + 45

Online company eqn: C = 7.75j + 20

Set both sides equal to solve:

5.25j + 45 = 7.75j + 20

5.25j - 7.75j = 20 -45

- 2.5j = -25

\frac{-2.5j}{-2.5}=\frac{-25}{-2.5}

j = 10

Therefore, the cost is the same for both companies when 10 jerseys are sold

6 0
2 years ago
Other questions:
  • What would 28/16 be as a mixed number
    15·2 answers
  • How much binding is needed to bind the edge of a circular rug that is 3m in diamter
    8·2 answers
  • 6 , 12 , 20 , 30 , 42 , 56 , 72 , . . .
    11·1 answer
  • If line ML is a midsegment of triangle IJK, find KJ
    15·2 answers
  • The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?
    9·1 answer
  • A- 15 √11<br> B- 30 √22<br> C- 30 √11<br> D- 15 √22
    12·2 answers
  • Draven's computer downloads files at a rate of 220 kilobytes per second. The computer has already downloaded the first 550 kilob
    5·1 answer
  • Martin deposits $7,000 in an account at Victory Bank. Find the amount of interest earned and the total value of his account afte
    13·1 answer
  • Find the value of 2x+8y when X= -5 and y=6​
    13·1 answer
  • Matthew drives 30 miles in 24 minutes. If he drove two hours in total at the same rate, how far did he go? Before you try that
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!