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

Responses

−6.85
negative 6.85

−11.65
negative 11.65

−2.4
negative 2.4

6.85

1 answer

To solve for \( n \) in the equation:

\[ 50.3(n + 9.25) = -120.72 \]

First, divide both sides by \( 50.3 \):

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

Calculating the right side:

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

So the equation now becomes:

\[ n + 9.25 = -2.4 \]

Next, solve for \( n \) by subtracting \( 9.25 \) from both sides:

\[ n = -2.4 - 9.25 \]

Calculating that gives:

\[ n = -11.65 \]

So the solution is:

\[ \boxed{-11.65} \]

Thus, the correct response is \( -11.65 \) (negative 11.65).