Question

Need help with his page 50 points

Answer 1

Answer: B, C, B

Explanation:

see images for explanation

Answer 2

`\textsf{11)} \quad \text{b.}\;\;2(3)/(4)`

`\textsf{12)} \quad \text{c.}\;\;7(1)/(2)`

`\textsf{13)} \quad \text{b.}\;\;(2)/(3)x+4=10`

Explanation:

Question 11

To find the answer to the given equation when y = 4, substitute y = 4 into the equation:

`\begin{aligned} y=4 \implies (3)/(4)+(2(4))/(4)&= (3)/(4)+(8)/(4)\\\\&= (3)/(4)+2\\\\&= 2(3)/(4)\end{aligned}`

Therefore, the answer is 2³/₄.

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Question 12

To find the answer to the given equation when y = 8, substitute y = 8 into the equation:

`\begin{aligned}y=8 \implies (12)/(8)+(3(8))/(4)&= (12)/(8)+(24)/(4)\\\\&= (12)/(8)+6\\\\&= (8+4)/(8)+6\\\\&= (8)/(8)+(4)/(8)+6\\\\&= 1+(1)/(2)+6\\\\&=7(1)/(2)\end{aligned}`

Therefore, the answer is 7¹/₂.

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Question 13

To determine which equation is true if x = 9, substitute x = 9 into each equation.

`\begin{aligned} \text{a)} \quad (2)/(3)(9)-6&=12\\\\(18)/(3)-6&=12\\\\6-6&=12\\\\0&=12\end{aligned}`

`\begin{aligned} \text{b)} \quad (2)/(3)(9)+4&=10\\\\(18)/(3)+4&=10\\\\6+4&=10\\\\10&=10\end{aligned}`

`\begin{aligned} \text{c)} \quad 3(9)-12&=21\\27-12&=21\\15&=21\end{aligned}`

`\begin{aligned} \text{d)} \quad 3(9)+12&=19\\27+12&=19\\39&=19\end{aligned}`

Therefore, the only equation that holds true is option b.