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larisa [96]
3 years ago
12

Did I answer these right? Distributive and associative property.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0
They r both the right answers my friend!!! :)
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A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck
anzhelika [568]

Alright, lets get started.

Suppose the original deck size: width = x feet

the width is one-fourth the length given in question means length = 4 x feet

Means the originally area = x * 4 x = 4 x^{2}

Now the dimensions are changed.

New dimensions, width = (x + 6)

new length = (4x+10)

So, new area will be = (x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60

the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

4x^{2} + 128= 4x^{2} + 34 x + 60

Subtracting 4x^{2} from both sides

128 = 34 x + 60

Subtracting 60 from both sides

128 - 60 = 34 x + 60 - 60

68 = 34  x

Dividing 34 in both sides

\frac{68}{34}  = \frac{34 x }{34}

x = 2

Means width = 2 feet

Length would be = 4 time width = 4 * 2 = 8 feet

Means dimension of original deck would be = 2 feet and 8 feet :Answer

Hope it will help :)

8 0
3 years ago
An economy package of cups has 460 green cups. If the green cups are 20% of the total package, how many cups are in the package?
Oksi-84 [34.3K]
2300 cups because if 460 is 20%, multiply the 460 x 5 to get 100%
3 0
3 years ago
I WILL MARK BRAINLIEST IF THIS IS ANSWERED IN LESS THAN 30 MIN.
Luden [163]

Answer: 9.5

Step-by-step explanation:

3 0
3 years ago
Name the formula:<br> y = a(1 + r)t
givi [52]

Answer:

The exponential growth formula.

5 0
3 years ago
What is the area of the rectangle
aliya0001 [1]
a^4+2a+8 because if you combine like terms that is what you get
3 0
3 years ago
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