Solve for n

Question

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

−2.4
negative 2.4

−6.85
negative 6.85

6.85
6.85

−11.65

Answer 1

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

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

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

   Now compute the right side:

   \[ n + 9.25 \approx -2.396 \]

2. Subtract 9.25 from both sides to solve for \( n \):

   \[ n = -2.396 - 9.25 \]

   This yields:

   \[ n \approx -11.646 \]

3. Rounding the result gives \( n \approx -11.65 \).

Thus, the solution for \( n \) is approximately \(-11.65\).

The correct response is:

−11.65