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Anton [14]
3 years ago
9

Select the answer choice that is equivalent to the expression given belon.

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

23x - 10

Step-by-step explanation:

To the find the equivalent of 9(2x - 3) + 5x + 17, evaluate the expression. Start by opening the bracket.

9*2x - 9*3 + 5x + 17

18x - 27 + 5x + 17

Pair like terms

18x + 5x - 27 + 17

23x - 10

The equivalent of 9(2x - 3) + 5x + 17 is 23x - 10

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
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Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

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