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
−11.221
negative 11.221
12.618
To solve for x in the equation 102.5(x-11.92) = 71.6, we can begin by distributing the 102.5 to the terms inside the parentheses:
102.5(x) - 102.5(11.92) = 71.6
Simplifying further:
102.5x - 1192 = 71.6
To isolate the variable x, we can add 1192 to both sides of the equation:
102.5x = 71.6 + 1192
Combining like terms:
102.5x = 1263.6
Finally, we can solve for x by dividing both sides of the equation by 102.5:
x = 1263.6 / 102.5
x ≈ 12.320 (rounded to 3 decimal places)
Therefore, the correct response would be 12.320.