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
12.618
0.699
−11.221
To solve for x in the equation 102.5(x−11.92)=71.6, we will start by simplifying the equation:
102.5(x - 11.92) = 71.6
102.5x - 1222 - 119.9 = 71.6
102.5x - 1341.9 = 71.6
Next, we will isolate the variable x by adding 1341.9 to both sides of the equation:
102.5x - 1341.9 + 1341.9 = 71.6 + 1341.9
102.5x = 1413.5
Finally, we will solve for x by dividing both sides of the equation by 102.5:
x = 1413.5 / 102.5
x ≈ 13.787
Rounding this to 3 decimal places, we get:
x ≈ 13.787 ≈ 13.789
Therefore, the correct answer is 13.789.