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

Question

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
6.85

GPT-4o mini · Answer

To solve for $ n $ in the equation $ 50.3(n + 9.25) = -120.72 $, follow these steps: 1. Distribute $ 50.3 $ on the left side: $$ 50.3n + 50.3 \times 9.25 = -120.72 $$ $$ 50.3n + 465.775 = -120.72 $$ 2. Subtract $ 465.775 $ from both sides: $$ 50.3n = -120.72 - 465.775 $$ Calculate the right side: $$ -120.72 - 465.775 = -586.495 $$ Therefore: $$ 50.3n = -586.495 $$ 3. Divide both sides by $ 50.3 $: $$ n = \frac{-586.495}{50.3} $$ Calculate $ n $: $$ n \approx -11.65 $$ So, the solution for $ n $ is approximately $ -11.65 $. Thus, the answer is: **−11.65** (negative 11.65)