Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point)

Responses

12.619
12.619

0.699
0.699

12.618
12.618

−11.221
negative 11.221

1 answer

To solve for x in the equation 102.5(x−11.92)=71.6, we can start by distributing 102.5 to both terms inside the parentheses:

102.5x - 102.5(11.92) = 71.6

Now we can simplify further:

102.5x - 1204.9 = 71.6

Next, we can move the constant term to the right side of the equation by adding 1204.9 to both sides:

102.5x = 71.6 + 1204.9

102.5x = 1276.5

Finally, we can solve for x by dividing both sides of the equation by 102.5:

x = 1276.5 / 102.5 = 12.4466

Rounding this to 3 decimal places gives us:
x ≈ 12.447

Therefore, the correct answer is 12.619.