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
12.618
12.618
−11.221
negative 11.221
0.699
To solve for x, we need to isolate it on one side of the equation.
First, distribute 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, simplify:
102.5x - 1206.2 = 71.6
To isolate x, we need to get rid of the constant term on the left side of the equation. To do this, we can add 1206.2 to both sides:
102.5x = 71.6 + 1206.2
102.5x = 1277.8
Finally, we can solve for x by dividing both sides by 102.5:
x = 1277.8 / 102.5
x ≈ 12.465 (rounded to 3 decimal places)
The correct answer is not listed among the given options.