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aliya0001 [1]
2 years ago
15

Can someone help me? Please show your work.

Mathematics
1 answer:
Allushta [10]2 years ago
3 0
We know that the perimeter of a rectangle can be represented by the expression 2l +2w, where l represents the length of the rectangle and w represents the width of the rectangle.

If we substitute in the values given in this problem, we get the expression:
2(2x+6) + 2(x)

Another equivalent expression we can use to express the perimeter is w + w + l + l.

If we substitute in the values given in this problem into this expression, we get:

x + x + 2x + 6 + 2x + 6

Overall, we know that these expressions are equivalent and represent the same value (the perimeter of the rectangle), because if you combine like terms, both expressions simplify to 6x + 12.

Hope this helps!
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Here is a diagram and its corresponding equation. Find the solution to the equation.
Katen [24]
4(x + 7) = 38

Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.

You would use distributive property to multiply each which should leave your equation looking like this afterwards:

4x + 28 = 38
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You would then solve it like a two step equation,

1. +28 - 28 = 0
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10 divided by 4 = 2.5

x = 2.5

We can recheck our work by substituting in the value of x.

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I thought of a number, added 4 5/7 to it, and got the number 12 times as big as my original what was my number
Genrish500 [490]
Let's call the number you thought of n. Then what the two steps you took can be written as an equation:
n+4\frac{5}{7}=12n

Subtract n to get all of your variables to one side:
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At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:
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Now divide both sides by 11 to get the value of n:
\frac{3}{7}=n
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