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

Question

A. Add 1.42 to both sides
B. subtract 1.42 from both sides
C. subtract 5.6 from both sides
D. Divide both sides by 5.6

Answer 1

To solve the equation \( 5.6(n + 1.42) = 7.8 \), the first step would be to distribute \( 5.6 \) if applicable, or isolate terms.

However, directly to answer your question, the first step should be to eliminate the \( 5.6 \) by dividing both sides of the equation by \( 5.6 \).

So, after that first step, the equation reduces to: \[ n + 1.42 = \frac{7.8}{5.6} \]

The second step in solving for \( n \) would then be to isolate \( n \). This involves subtracting \( 1.42 \) from both sides.

So, the correct answer to your question is: B. subtract 1.42 from both sides.

Answer 2

What is the first step in solving for x in the equation 9.8 (x - 2.14) = 53.9
A. Divide only the left - hand side by 9.8
B. Add 2.14 to both sides
C. Multiply both sides by 9.8
D. divide both sides 9.8

Answer 3

To solve the equation \( 9.8(x - 2.14) = 53.9 \), the first step is to eliminate the coefficient \( 9.8 \) from the left side.

The correct first step would be to divide both sides by \( 9.8 \) to isolate \( x - 2.14 \).

So the correct answer is: D. divide both sides by 9.8.

After this step, the equation would become: \[ x - 2.14 = \frac{53.9}{9.8} \]

Answer 4

Solve for x in the equation 102.5 (x-11.92) = 71.6 round your answer to 3 decimal place
A. 12.619
B. - 11.221
C. 0.699
D. 12.618

Answer 5

To solve the equation \( 102.5(x - 11.92) = 71.6 \), follow these steps:

1. Divide both sides by 102.5 to isolate \( x - 11.92 \): \[ x - 11.92 = \frac{71.6}{102.5} \]

2. Calculate \( \frac{71.6}{102.5} \): \[ \frac{71.6}{102.5} \approx 0.6985 \]

3. Now, add \( 11.92 \) to both sides: \[ x = 0.6985 + 11.92 \]

4. Calculate \( x \): \[ x \approx 12.6185 \]

5. Round to three decimal places: \[ x \approx 12.619 \]

So, the rounded answer is: A. 12.619.