Solve for n

Question

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

6.85
6.85

−6.85
−
6.85
negative 6.85

−11.65
−
11.65
negative 11.65

−2.4.

Answer 1

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

1. Divide both sides by \( 50.3 \):

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

Calculating the right-hand side:

\[ \frac{-120.72}{50.3} \approx -2.4 \]

So now we have:

\[ n + 9.25 \approx -2.4 \]

2. Next, isolate \( n \) by subtracting \( 9.25 \) from both sides:

\[ n \approx -2.4 - 9.25 \]

Calculating the right side:

\[ n \approx -11.65 \]

Thus, the solution is:

\[ \boxed{-11.65} \]

So the correct response from your options is \( -11.65 \).