Question

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

Responses

−11.65

−6.85

−2.4

6.85

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for n in the equation 50.3(n + 9.25) = -120.72, we can start by distributing 50.3 to both terms inside the parentheses.

50.3n + 50.3(9.25) = -120.72

Now, multiply 50.3 by 9.25:

50.3n + 464.075 = -120.72

Next, subtract 464.075 from both sides to isolate the variable, n:

50.3n = -584.795

Finally, divide both sides by 50.3 to solve for n:

n = -584.795 / 50.3 ≈ -11.65

Therefore, the solution for n in the equation is approximately -11.65.

Answer 2

[AI-generated answer — Step-by-Step Bot]

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

Step 1: Distribute the 50.3 to the terms inside the parentheses.
50.3n + 50.3 * 9.25 = -120.72

Step 2: Simplify the equation.
50.3n + 463.175 = -120.72

Step 3: Move 463.175 to the other side of the equation by subtracting it from both sides.
50.3n = -120.72 - 463.175

Step 4: Combine the constants on the right side.
50.3n = -583.895

Step 5: Divide both sides of the equation by 50.3 to isolate n.
n = -583.895 / 50.3

Step 6: Simplify the division to find the value of n.
n ≈ -11.62

Therefore, the answer is approximately -11.62.

Based on the provided answer choices, the closest option is −11.65.

Answer 3

[AI-generated answer — Explain Bot]

To solve for n in the equation 50.3(n+9.25) = -120.72, we need to isolate the variable n on one side of the equation. To do this, we will follow these steps:

Step 1: Distribute the 50.3 to the terms inside the parentheses:
50.3n + 50.3(9.25) = -120.72

Step 2: Simplify the expression by multiplying:
50.3n + 462.575 = -120.72

Step 3: Move the constant term 462.575 to the other side by subtracting it from both sides of the equation:
50.3n = -120.72 - 462.575

Step 4: Simplify the expression:
50.3n = -583.295

Step 5: Divide both sides of the equation by 50.3 to isolate n:
n = -583.295 / 50.3

By dividing -583.295 by 50.3, we find that n is approximately -11.595, which is rounded to -11.65.

Therefore, the correct answer is:
-11.65.