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3 years ago

15

Which of the following is equal to (2x/3 - 7) + 7

2 answers:

ivanzaharov [21]3 years ago

7 0

Which of the following is equal to: (2x/3 - 7) + 7
The order of the mathematical operations is PEMDAS.
Therefor the first step you will take is to solve the operation inside the parenthesis.
(2x/3 - 7) =(2x/3 - 7)* 3/3 = 2x/3 - 21/3 = (2x - 21)/3
While adding or subtracting fractions, dont forget to check that each term have the same denominator.

Then the operation outside the parenthesis,

(2x - 21)/3 + 7 = (2x-21)/3 + 7 * 3/3 = (2x - 21)/3 + 21/3 =

(2x - 21 + 21) / 3 = 2x/3

The final answer is D. 2x/3

diamong [38]3 years ago

6 0

<span>The correct answer is D. The number 7 is subtracted from the first term, 2x/3, but then an equal sum is added, and the two effectively cancel each other out. This means that the value of the first expression is essentially 2x/3, which is option D.</span>

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$\begin{gathered} y-11=\frac{1}{2}(x-2) \\ \end{gathered}$

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$\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}$

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