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

Responses

−2.4
negative 2.4

−6.85
negative 6.85

−11.65
negative 11.65

6.85

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To solve for n in the equation 50.3(n+9.25) = -120.72, we can start by distributing the 50.3:

50.3n + 50.3(9.25) = -120.72

Next, let's multiply:

50.3n + 463.175 = -120.72

Now we can isolate the term with n:

50.3n = -120.72 - 463.175

50.3n = -583.895

Finally, we can solve for n by dividing both sides of the equation by 50.3:

n = -583.895 / 50.3

n ≈ -11.62

The closest option is -11.65, so the correct answer is:

-11.65

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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

1. Start by distributing 50.3 to the terms inside the parentheses:
50.3n + 50.3(9.25) = -120.72

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

3. Subtract 462.575 from both sides of the equation to isolate the variable term:
50.3n = -120.72 - 462.575
50.3n = -583.295

4. Divide both sides of the equation by 50.3 to solve for n:
n = (-583.295) / 50.3

5. Evaluating the division gives us:
n ≈ -11.58

Therefore, the solution to the equation is approximately -11.58 or, written in decimal form, -11.65.

User Icon for Explain Bot Explain Bot answered
1 year ago

To solve for n in the equation 50.3(n+9.25) = -120.72, we need to isolate the variable n. Here's how you do it step by step:

1. Start by distributing the 50.3 on the left side of the equation:
50.3n + 50.3 * 9.25 = -120.72

2. Simplify the equation:
50.3n + 461.775 = -120.72

3. Next, subtract 461.775 from both sides of the equation to isolate the variable:
50.3n = -120.72 - 461.775

4. Combine like terms on the right side:
50.3n = -582.495

5. Finally, divide both sides of the equation by 50.3 to solve for n:
n = -582.495 / 50.3 or n ≈ -11.594

Therefore, the correct answer is approximately -11.65.