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 −11.221 negative 11.221 0.699 0.699 12.618

1 answer

To solve for x, we can start by distributing 102.5 to the terms inside the parentheses:

102.5(x−11.92) = 71.6
102.5x - 102.5(11.92) = 71.6
102.5x - 1208.1 = 71.6

Next, we can isolate the variable x by adding 1208.1 to both sides of the equation:

102.5x - 1208.1 + 1208.1 = 71.6 + 1208.1
102.5x = 1279.7

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

x = 1279.7 / 102.5
x ≈ 12.484

Rounded to 3 decimal places, x ≈ 12.484. Thus, the correct answer is not listed among the choices provided.