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

Question

Responses

12.618
12.618

12.619
12.619

0.699
0.699

−11.221

Answer 1

To solve the equation \( 102.5(x - 11.92) = 71.6 \), we will first isolate \( x \).

1. Start by dividing both sides by 102.5:

   \[ x - 11.92 = \frac{71.6}{102.5} \]

2. Calculate \( \frac{71.6}{102.5} \):

   \[ \frac{71.6}{102.5} \approx 0.698292 \]

3. This gives us:

   \[ x - 11.92 \approx 0.698292 \]

4. Now, add 11.92 to both sides to solve for \( x \):

   \[ x \approx 0.698292 + 11.92 \]

5. Calculating the right-hand side gives:

   \[ x \approx 12.618292 \]

6. Rounding to three decimal places, we have:

   \[ x \approx 12.618 \]

The answer is:

12.618

Answer 2

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

−11.65
negative 11.65

6.85
6.85

−2.4
negative 2.4

−6.85

Answer 3

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

1. Divide both sides by 50.3 to isolate \( n + 9.25 \):

   \[ n + 9.25 = \frac{-120.72}{50.3} \]

2. Calculate \( \frac{-120.72}{50.3} \):

   \[ n + 9.25 \approx -2.396834 \]

3. Now, subtract 9.25 from both sides to solve for \( n \):

   \[ n \approx -2.396834 - 9.25 \]

4. Calculating the right-hand side gives:

   \[ n \approx -11.646834 \]

5. Rounding to two decimal places, we have:

   \[ n \approx -11.65 \]

The answer is:

−11.65 (negative 11.65)