Solve for n in the equation 50.3(n+9.25)=−120.72.(1 point)
Responses
6.85
6.85
−6.85
negative 6.85
−11.65
negative 11.65
−2.4
To solve for n in the equation 50.3(n+9.25) = -120.72, we first begin by distributing 50.3 to the terms inside the parentheses:
50.3n + 50.3(9.25) = -120.72
Next, we simplify the equation:
50.3n + 464.275 = -120.72
We then isolate the variable n by subtracting 464.275 from both sides:
50.3n = -120.72 - 464.275
This simplifies to:
50.3n = -584.995
Finally, we divide both sides of the equation by 50.3 to solve for n:
n = -584.995 / 50.3
n ≈ -11.65
Therefore, the correct solution for n in the equation is -11.65.
To solve for n in the equation 50.3(n+9.25) = -120.72, you can follow these steps:
1. Distribute the 50.3 to both terms inside the parentheses:
50.3n + (50.3 * 9.25) = -120.72
2. Simplify the multiplication:
50.3n + 464.575 = -120.72
3. Move the constant term to the other side of the equation by subtracting 464.575 from both sides:
50.3n = -120.72 - 464.575
4. Combine the constant terms on the right side:
50.3n = -585.295
5. To isolate n, divide both sides of the equation by 50.3:
n = -585.295 / 50.3
6. Use a calculator to calculate the division:
n ≈ -11.65
Therefore, the solution for 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, we can start by simplifying the equation:
50.3(n + 9.25) = -120.72
Next, we distribute 50.3 across the terms in the parentheses:
50.3n + 50.3(9.25) = -120.72
Multiply 50.3 by 9.25:
50.3n + 463.175 = -120.72
Now, subtract 463.175 from both sides of the equation to isolate the term with n:
50.3n + 463.175 - 463.175 = -120.72 - 463.175
This simplifies to:
50.3n = -583.895
Finally, divide both sides of the equation by 50.3 to solve for n:
n = -583.895 / 50.3
After performing the calculation, the value of n is approximately -11.617 (rounded to three decimal places).