Solve for n

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

−6.85
negative 6.85

−2.4
negative 2.4

−11.65
negative 11.65

6.85

1 answer

To solve the equation \(50.3(n + 9.25) = -120.72\), we will first divide both sides by 50.3:

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

Now we calculate \(\frac{-120.72}{50.3}\):

\[ n + 9.25 \approx -2.4 \]

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

\[ n \approx -2.4 - 9.25 \]

Calculating that gives:

\[ n \approx -11.65 \]

Thus, the solution is:

\[ \boxed{-11.65} \]