Question

Show work
Hint: cross-multiply and solve for x
8. 24 + (-38)


9. Solve for the x in the proportion.
7/x = 56/120

Answer 1

Let's break down each problem step by step.

### Problem 8:
Calculate \( 24 + (-38) \).

1. Recognize that adding a negative number is the same as subtracting.
2. Rewrite the expression:
\[
24 + (-38) = 24 - 38
\]
3. Perform the subtraction:
\[
24 - 38 = -14
\]

So, \( 24 + (-38) = -14 \).

### Problem 9:
Solve for \( x \) in the proportion \( \frac{7}{x} = \frac{56}{120} \).

1. Cross-multiply:
\[
7 \cdot 120 = 56 \cdot x
\]
This creates the equation:
\[
840 = 56x
\]

2. Solve for \( x \) by dividing both sides by 56:
\[
x = \frac{840}{56}
\]

3. Simplify \( \frac{840}{56} \):
\[
x = 15
\]

So, the solution for \( x \) is \( x = 15 \).

### Summary of Results:
- Problem 8: \( 24 + (-38) = -14 \)
- Problem 9: \( x = 15 \)