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

Question

Responses

−2.4
negative 2.4

−6.85
negative 6.85

6.85
6.85

−11.65
negative 11.65

Answer 1

To solve the equation \( 50.3(n + 9.25) = -120.72 \), we can start by dividing both sides by 50.3 to isolate the term with \( n \).

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

2. Calculate \( \frac{-120.72}{50.3} \): \[ n + 9.25 \approx -2.4 \]

3. Now, isolate \( n \) by subtracting 9.25 from both sides: \[ n \approx -2.4 - 9.25 \]

4. Calculate \( -2.4 - 9.25 \): \[ n \approx -11.65 \]

Thus, the solution is: \[ n \approx -11.65 \]

The correct answer is \(-11.65\) (negative 11.65).