Write an equivalent expression in simplest form for each given expression. Then, choose the answer that explains why the express
ions are equivalent.
(A) 2y + 4(y + 1) = y +
First use the Property to simplify the expression in parentheses, then
combine like terms.
(B) 9y + 6 + 2(5 + y) = y +
After applying the Distributive Property, use the Properties to
combine like terms.
1 answer:
The equivalent expressions are 6y + 4 and 11y + 16
<h3>How to determine the equivalent expressions?</h3>
<u>Expression (A)</u>
We have:
2y + 4(y + 1)
Open the bracket
2y + 4y + 4
Evaluate the like terms
6y + 4
<u>Expression (B)</u>
We have:
9y + 6 + 2(5 + y)
Open the bracket
9y + 6 + 10 + 2y
Evaluate the like terms
11y + 16
Hence, the equivalent expressions are 6y + 4 and 11y + 16
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Ok,
8x - amount of boys
7x - amount of girls
8x + 7x = 195
15x = 195
195 / 15 = 13
x = 13
Plug in 13 for x
8 * 13 = 104
7 * 13 = 91
There are 104 boys and 91 girls
Hope this helps!
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Step-by-step explanation:
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15
Step-by-step explanation:
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Answer:
x=72
Step-by-step explanation:
1.2x−2.4=84
Step 1: Add 2.4 to both sides.
1.2x−2.4+2.4=84+2.4
1.2x=86.4
Step 2: Divide both sides by 1.2.
x=72