Equations with Parentheses, Decimals, & Fractions Quick Check 4 of 54 of 5 Items Question Solve for x in the equation 102.5(x−11.92)=71.6. Round your answer to 3 decimal places.(1 point) Responses 12.618 12.618 0.699 0.699 −11.221 negative 11.221 12.619
To solve for x in the equation 102.5(x−11.92)=71.6, we need to first distribute the 102.5 to the terms inside the parentheses.
This gives us:
102.5x - 102.5(11.92) = 71.6
Next, we simplify:
102.5x - 1204.6 = 71.6
Now, we can solve for x by isolating the x term:
102.5x = 71.6 + 1204.6
102.5x = 1276.2
Dividing both sides by 102.5 gives us:
x ≈ 12.444
Rounded to 3 decimal places, our answer is 12.444.
The correct response is not given in the options provided.