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Marat540 [252]
3 years ago
15

-7y+3=-25 solve for y

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

-7y+3=-25

-3 -3

-7y= -28

/-7. -7

Y = 4

Step-by-step explanation:

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The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to w
astraxan [27]

The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

<h3>The equivalent expression using exactly two terms </h3>

The perimeter is given as:

P =  15 + 2x + 7 + 15 + 2x + 7

Collect like terms

P =  2x + 2x + 7 + 15 +  15  + 7

Evaluate the like terms

P = 4x + 44

<h3>The area of the garden</h3>

The area of the garden is given as:

A = 15(2x + 7).

Expand

A = 30x + 105

Manual's expression of the area is 30x + 7

Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105

<h3>The difference between the areas of Manual’s garden and Sasha's design</h3>

The side length of Sasha's design is:

L = 3x + 5 in

So, the area is:

A = (3x + 5)^2

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A = 9x^2 + 16x + 25

The difference between both areas is:

Difference = 9x^2 + 16x - 30x + 25 - 105

Evaluate

Difference = 9x^2 - 14x - 80

Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80

<h3>The perimeter of Sasha's garden</h3>

This is calculated using:

P = 4L

So, we have:

P = 12x + 20

The difference between both perimeter is:

Difference = 12x - 4x + 20 - 44

Evaluate

Difference = 8x - 24

Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

Read more about area and perimeter at:

brainly.com/question/24571594

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2 years ago
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