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masha68 [24]
2 years ago
12

A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its​ width, find the dimensions of the

rug.
The length of the rug is __. ____. (options for second blank box are feet, square feet, or cubic feet.
Mathematics
1 answer:
weeeeeb [17]2 years ago
3 0

L=2W+2

W=(L-2)/2

A=LW, using W from above makes this

A=L(L-2)/2

2A=L^2-2L

L^2-2L-2A=0, given A=84

L^2-2L-168=0

(L-14)(L+12)=0, since L>0

L=14

The length of the rug is 14 ft

(W=(L-2)/2=6 ft)

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Three packages of pens and one box of paper cost $26. Two packages of pens and 7 boxes of paper cost $49. How much does one box
algol13

Answer:

5 dollars

Step-by-step explanation:

Let's call the price of a package of pens n, and the cost of a box of paper r.

3n+r=26

2n+7r=49

Multiply the first equation by 7:

21n+7r=182

Subtract the second equation from the first:

19n=133

Divide both sides by 19 to isolate n:

n=7

Plug this back in to find the value of a box of paper:

3(7)+r=26

21+r=26

r=5

Hope this helps!

5 0
3 years ago
To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total c
vekshin1
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3 years ago
Read 2 more answers
What is the value of x in the figure above? ^^
Zielflug [23.3K]
First solve for the other angles.
You know one angle is 15º.
The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
Now you are left with 30xº = 330.
Just divide now.
330 / 30 = 11
x = 11
15x = 165

Checking your work:
15x = 165
15x = 165
15
15
Those are the angles.
Add those numbers together and make sure it adds up to 360º.
165 + 165 + 15 + 15 = 360
So this is correct.
7 0
3 years ago
I need help with this pls ASAP
Andrei [34K]
K is the right answer for the problem!
6 0
3 years ago
Simplify each expression<br> (e^2) (g) (g^4) (e^3)<br> (e)( e^2) (e)
poizon [28]

Answer:

(e^2) (g) (g^4) (e^3)=e^b

(e)( e^2) (e)=ve^4

Step-by-step explanation:

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2 years ago
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