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Bezzdna [24]
2 years ago
15

The length of a rectangle is 5 cm less than twice the width. The perimeter of the rectangle is 80 cm. Find the dimensions

Mathematics
1 answer:
balandron [24]2 years ago
6 0

Answer:

W=16 2/3

L=28 1/3

Step-by-step explanation:

L=2W-5

80=2W+2L

80=2W+2(2W-5)

80=2W+4W-20

80=6W-20

100=6W

W=16 2/3

L=2(16 2/3)-5

L=33 1/3 -5

L=28 1/3

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The sum of two numbers is −45. One number is 9 more than the other. Find the numbers.
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Answer:

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Step-by-step explanation:

Solve algebraically. Use a variable and an expression to represent the numbers.

let the smaller number be "x"

The bigger number is x + 9.

The two numbers are "x" and "x + 9".

The sum of two numbers means when you add them together. If their number is −45, then:

x + x + 9 = −45

Simplify and isolate "x" to solve in the equation.

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2x + 9 = −45        Isolate "x"

2x + 9 - 9 = −45 - 9        Subtract 9 from both sides

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x = -27       Value of smaller number

The bigger number is x + 9. Substitute "x" for -27 and solve.

x + 9

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= -18        Value of bigger number

Therefore the two numbers are -27 and -18.

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