Question

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8. 24 + (-38)

9. Solve for the x in the proportion.

7

x

56

120

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Answer 1

Let's solve each problem step by step.

**8. 24 + (-38)**

To add 24 and -38, we can rearrange the expression as follows:

\[
24 + (-38) = 24 - 38
\]

Now we perform the subtraction:

\[
24 - 38 = -14
\]

So the answer for question 8 is:

\[
\text{Answer: } -14
\]

---

**9. Solve for x in the proportion.**

The proportion is given by:

\[
\frac{7}{x} = \frac{56}{120}
\]

To solve for \(x\), we can use cross-multiplication:

\[
7 \cdot 120 = 56 \cdot x
\]

Calculating the left side:

\[
7 \cdot 120 = 840
\]

Now, we can set up the equation:

\[
840 = 56x
\]

To isolate \(x\), we divide both sides by 56:

\[
x = \frac{840}{56}
\]

Now let's simplify \(\frac{840}{56}\):

\[
x = 15
\]

So the answer for question 9 is:

\[
\text{Answer: } 15
\]

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**Final Answers:**

8. \(-14\)

9. \(15\)