Solve for n in the equation 50.3(n+9.25)=−120.72 .(1 point) Responses −11.65 negative 11.65 −6.85 negative 6.85 6.85 6.85 −2.4

1 answer

To solve for n in the equation 50.3(n+9.25)=−120.72, we need to isolate the variable n.

First, distribute 50.3 to the terms inside the parentheses:
50.3n + (50.3)(9.25) = -120.72

Next, simplify the expression:
50.3n + 463.075 = -120.72

To isolate n, subtract 463.075 from both sides of the equation:
50.3n = -120.72 - 463.075

Combine like terms:
50.3n = -583.795

Finally, divide both sides by 50.3 to solve for n:
n = -583.795/50.3

Calculating this value will give you the solution for n, which is approximately -11.605 or -11.65 (rounded to two decimal places).

Therefore, the response is −11.65.