Solve for n

Question

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

−2.4
negative 2.4

6.85
6.85

−6.85
negative 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: \[ n + 9.25 = \frac{-120.72}{50.3} \]

2. Calculate the value on the right: \[ \frac{-120.72}{50.3} \approx -2.4 \] (You can use a calculator for this step if needed.)

3. Now the equation becomes: \[ n + 9.25 \approx -2.4 \]

4. Subtract 9.25 from both sides to solve for \( n \): \[ n \approx -2.4 - 9.25 \] \[ n \approx -11.65 \]

Thus, the solution for \( n \) is \( \boxed{-11.65} \).