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

Question

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.

Answer 1

The first step in solving for \( x \) in the equation \( 5.6(x + 1.42) = 7.8 \) would be to divide both sides by 5.6.

This simplifies the equation, isolating the expression for \( x \).

So, the correct response is:

Divide both sides by 5.6.

Answer 2

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

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

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

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

Subtract 5.6 from both sides.

Answer 3

After dividing both sides by 5.6 in the equation \( 5.6(n + 1.42) = 7.8 \), you would get:

\[ n + 1.42 = \frac{7.8}{5.6} \]

The next step is to isolate \( n \). To do this, you would subtract 1.42 from both sides.

So, the correct response for the second step is:

Subtract 1.42 from both sides.

Answer 4

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

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

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

Divide only the left-hand side by 9.8.
Divide only the left-hand side by 9.8.

Divide both sides by 9.8.

Answer 5

The first step in solving for \( x \) in the equation \( 9.8(x - 2.14) = 53.9 \) would be to divide both sides by 9.8.

This will help isolate the expression for \( x \).

So, the correct response is:

Divide both sides by 9.8.

Answer 6

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

12.618
12.618

0.699
0.699

−11.221
negative 11.221

12.619

Answer 7

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

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

2. Calculate the right-hand side: \[ \frac{71.6}{102.5} \approx 0.698 \]

3. Add 11.92 to both sides: \[ x = 0.698 + 11.92 \] \[ x \approx 12.618 \]

Finally, rounding to 3 decimal places gives us: \[ x \approx 12.618 \]

So the correct response is:

12.618

Answer 8

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

−2.4
negative 2.4

−6.85

Answer 9

To solve the equation \( 50.3(n + 9.25) = -120.72 \), follow these steps:

1. Divide both sides by 50.3: \[ n + 9.25 = \frac{-120.72}{50.3} \]

2. Calculate the right-hand side: \[ \frac{-120.72}{50.3} \approx -2.397 \]

3. Subtract 9.25 from both sides: \[ n = -2.397 - 9.25 \] \[ n \approx -11.647 \]

Rounding to two decimal places gives: \[ n \approx -11.65 \]

So the correct response is:

−11.65

Answer 10

Question number 4 is actually 12.619

Answer 11

Thank you for clarifying that! Let's re-evaluate question number 4:

We solved the equation \( 102.5(x - 11.92) = 71.6 \) as follows:

1. Divide both sides by 102.5: \[ x - 11.92 = \frac{71.6}{102.5} \approx 0.698 \]

2. Add 11.92 to both sides: \[ x = 0.698 + 11.92 \approx 12.618 \]

When rounding to three decimal places, we found:

\[ x \approx 12.618 \]

The correct rounded answer as you noted should indeed round to 12.619 when using three decimal places.

Thank you for your patience! The correct answer for that question is indeed:

12.619