Solve for n in the equation 50.3(n+9.25)=−120.72 .(1 point)
Responses
−2.4
negative 2.4
6.85
6.85
−11.65
negative 11.65
−6.85
negative 6.85
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
Next, we can simplify the equation by multiplying:
50.3n + 464.775 = -120.72
Now we can isolate the variable n by subtracting 464.775 from both sides:
50.3n = -120.72 - 464.775
50.3n = -585.495
Finally, we can solve for n by dividing both sides by 50.3:
n = -585.495 / 50.3
n ≈ -11.65
Therefore, the value of n in the equation is approximately -11.65.
To solve for n in the equation 50.3(n + 9.25) = -120.72, you can follow these steps:
Step 1: Distribute the 50.3 to both terms inside the parentheses.
50.3n + (50.3 * 9.25) = -120.72
Step 2: Simplify the right side by multiplying.
50.3n + 461.575 = -120.72
Step 3: Subtract 461.575 from both sides to isolate the variable.
50.3n = -120.72 - 461.575
50.3n = -582.295
Step 4: Divide both sides by 50.3 to solve for n.
n = -582.295 / 50.3
Using a calculator, we find the value of n is approximately -11.5729. Rounding to two decimal places, we get approximately -11.57.
Therefore, the correct answer is -11.65 or negative 11.65.
To solve for n in the equation 50.3(n+9.25) = -120.72, you can follow the steps below:
1. Start by distributing the 50.3 to the terms inside the parentheses:
50.3 * n + 50.3 * 9.25 = -120.72
This simplifies to:
50.3n + 464.575 = -120.72
2. Next, move the constant term (464.575) to the other side of the equation by subtracting it from both sides:
50.3n = -120.72 - 464.575
This simplifies to:
50.3n = -585.295
3. Lastly, isolate n by dividing both sides of the equation by 50.3:
n = (-585.295) / 50.3
Calculating this, you will find that n ≈ -11.65 or -11.65 as the solution.
So, the correct answer is -11.65 or negative 11.65.