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agasfer [191]
3 years ago
9

Marvin wants to purchase a rectangular rug. It has an area represented by the expression 4x^2+64x+256. what is the length and wi

dth. also what do the factors in the factored expressions represent
Mathematics
1 answer:
jasenka [17]3 years ago
7 0

Answer: the length and width are

(x + 8) and (x + 8)

Step-by-step explanation:

The rug has an area represented by the expression

Area = 4x² + 64x + 256.

The factors in the factored expressions represent the length and width of the rug.

Dividing the the equation by 4, it becomes

x² + 16x + 64 = 0

We would find two numbers such that their sum or difference is 16x and their product is 64x^2.

The two numbers are 8x and 8x. Therefore,

x² + 8x + 8x + 64 = 0

x(x + 8) + 8(x + 8) = 0

The factors are

(x + 8)(x + 8)

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Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi
lukranit [14]

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

 

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Hope this helps have a good day

3 0
2 years ago
If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.
Lubov Fominskaja [6]

Answer:

false

Step-by-step explanation:

the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.

when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.

so, quadrupling the dimensions would multiply the areas by 16.

8 0
3 years ago
15 is 60% of what number?
Mazyrski [523]
15 is 60% of 25. 15/25 is equal to .6 or 60%
8 0
2 years ago
Read 2 more answers
I need help I’m stuck
cluponka [151]

Answer:

Step-by-step explanation:

5 0
3 years ago
What ratios that are equivalent to 4 to 7.
expeople1 [14]
4 to 7 =  4/7

5/8 is not.

12/20 = 6/10 = 3/5 . It is not equivalent.

8:14 = 4 : 7 .  It is equivalent

5 to 10 = 1 to 2.  It is not.

16/28 = 8/14 = 4/7.  It is equivalent.

9 to 16 = 9 to 16.  It is not equivalent.

So only 8:14 and 16/28  are equivalent to 4 to 7.
8 0
3 years ago
Read 2 more answers
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