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
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.
To solve for n in the equation 50.3(n+9.25) = -120.72, we need to isolate the variable n.
Here are the steps to solve it:
1. Distribute 50.3 to terms inside the parenthesis:
50.3 * n + 50.3 * 9.25 = -120.72
Simplify the expression:
50.3n + 464.975 = -120.72
2. Subtract 464.975 from both sides of the equation to isolate the variable term:
50.3n = -120.72 - 464.975
Simplify the expression:
50.3n = -585.695
3. Divide both sides of the equation by 50.3 to solve for n:
n = -585.695 / 50.3
Simplify the expression (approximated to two decimal places):
n ≈ -11.65
Therefore, the value of n in the equation 50.3(n+9.25) = -120.72 is approximately -11.65.
To solve for n in the equation 50.3(n + 9.25) = -120.72, follow these steps:
Step 1: Distribute the 50.3 on the left side of the equation:
50.3n + 50.3(9.25) = -120.72
Step 2: Simplify:
50.3n + 463.775 = -120.72
Step 3: Move the constant term to the right side by subtracting 463.775 from both sides:
50.3n = -120.72 - 463.775
Step 4: Combine like terms:
50.3n = -584.495
Step 5: Divide both sides by 50.3 to isolate the variable n:
n = -584.495 / 50.3
Step 6: Calculate the value of n:
n ≈ -11.6203
Therefore, n is approximately -11.62.