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jasenka [17]
3 years ago
11

Six times the sum of a number and twelve is forty.

Mathematics
1 answer:
solniwko [45]3 years ago
4 0
X-the number

6(x + 12) = 40    |use distributive property: a(b + c) = ab + ac

6x + 72 = 40    |subtract 72 from both sides

6x = -32    |divide both sides by 6

x = -32/6

x = -16/3

x = -5 1/3
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The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

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Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

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length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

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