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Anettt [7]
3 years ago
15

When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
<span>The answer is:  [C]:  
__________________________________________________________
Multiply each side by −8, subtract 35 from each side.

___________________________________________________________
Explanation:
___________________________
Given: You have (-1/8)*(x + 35) = -7
________________________________________
Note that all the answer choices given start with: "Multiply each side by...."; 
</span>____________________
Given the choices, multiplying EACH SIDE of the equation by "(-8)" would make sense, since doing would cancel the "(-1/8)" on the "right-hand side" of the equation above to a "1" (i.e "cancel out" that ("-1/8") value); and would result in making the "right side" of the equation above ("-7") a positive integer number. 
 Then you would be left with:  x + 35 = 56 ; so the next step would be to:
__________
Subtract: "(35)" from each side of the question [hence the answer choice] to isolate "x" on one side of the equation; and to solve for "x".
_______________________________________________________
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Answer:

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Step-by-step explanation:

An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:

2L + B = 14 units

Where:

L is the measure of one leg

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Since two legs are the same and the base is 1 less, this means the measure of each leg would be:

B = L -1

Now we have two equations:

2L + B = 14 units

B = L- 1

We plug one equation into the other and make 1 equation:

2L + (L-1) = 14 units

Get rid of the parentheses:

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Combine like terms:

3L - 1 = 14

Add 1 to both sides of the equation:

3L - 1 + 1 = 14 + 1

3L = 15

Divide both sides by 3:

3L/3 = 15/3

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So the length of a leg is 5 units

Let's check!

B = L - 1

B = 5 - 1

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2L + B

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