Question

What is the first step in solving for x
in the equation 5.6(x+1.42)=7.8
?(1 point)
Responses

Divide both sides by 5.6.
Divide both sides by 5.6.

Only the left-hand side was divided by 5.6.
Only the left-hand side was divided by 5.6.

Multiply both sides by 5.6.
Multiply both sides by 5.6.

Subtract 1.42 from both sides.

What is the second step in solving for n in the equation 5.6(n+1.42)=7.8 ?(1 point)
Responses

Divide both sides by 5.6.
Divide both sides by 5.6.

Add 1.42 to both sides.
Add 1.42 to both sides.

Subtract 1.42 from both sides.
Subtract 1.42 from both sides.

Subtract 5.6 from both sides.

What is the first step in solving for x in the equation 9.8(x−2.14)=53.9 (1 point)
Responses

Divide both sides by 9.8.
Divide both sides by 9.8.

Add 2.14 to both sides.
Add 2.14 to both sides.

Multiply both sides by 9.8.
Multiply both sides by 9.8.

Divide only the left-hand side by 9.8.

Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point)
Responses

0.699
0.699

12.618
12.618

12.619
12.619

−11.221

Solve for n in the equation 50.3(n+9.25)=−120.72 .(1 point)
Responses

6.85
6.85

−11.65
negative 11.65

−6.85
negative 6.85

−2.4

Answer 1

Let's answer each of the questions step by step:

1. **What is the first step in solving for x in the equation \( 5.6(x+1.42)=7.8 \)?**
- The first step is to **divide both sides by 5.6**.

2. **What is the second step in solving for n in the equation \( 5.6(n+1.42)=7.8 \)?**
- After dividing both sides by 5.6, you will have \( n + 1.42 = \frac{7.8}{5.6} \). The next logical step is to **subtract 1.42 from both sides**.

3. **What is the first step in solving for x in the equation \( 9.8(x−2.14)=53.9 \)?**
- The first step is to **divide both sides by 9.8**.

4. **Solve for x in the equation \( 102.5(x−11.92)=71.6 \). Round your answer to 3 decimal places.**
- First, divide both sides by 102.5:
\[
x - 11.92 = \frac{71.6}{102.5}
\]
Calculating \( \frac{71.6}{102.5} \approx 0.698
\]
- Thus,
\[
x - 11.92 \approx 0.698
\]
- Next, add 11.92 to both sides:
\[
x \approx 0.698 + 11.92 \approx 12.618
\]
- Therefore, rounding to three decimal places, the answer is **12.618**.

5. **Solve for n in the equation \( 50.3(n+9.25)=-120.72 \).**
- Divide both sides by 50.3:
\[
n + 9.25 = \frac{-120.72}{50.3}
\]
This approximately equals \( -2.4 \).
- So we have:
\[
n + 9.25 \approx -2.4
\]
- Finally, subtract 9.25 from both sides:
\[
n \approx -2.4 - 9.25 \approx -11.65
\]
- Therefore, the answer is **−11.65**.

In summary:
1. Divide both sides by 5.6
2. Subtract 1.42 from both sides
3. Divide both sides by 9.8
4. **12.618**
5. **−11.65**