Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.
very close! but the answer is a bigger number! :)
To solve for x, we can begin by isolating x on one side of the equation.
First, distribute the 102.5 on the left side of the equation:
102.5x - 102.5(11.92) = 71.6
Next, simplify:
102.5x - 1207.9 = 71.6
Now, isolate x by adding 1207.9 to both sides:
102.5x = 71.6 + 1207.9
102.5x = 1279.5
Finally, solve for x by dividing both sides by 102.5:
x = 1279.5/102.5
x ≈ 12.488
Rounding to 3 decimal places, x ≈ 12.488.
Apologies for the mistake. Let's re-calculate.
x = (71.6 + 1207.9) / 102.5
x = 1279.5 / 102.5
x ≈ 12.475
Rounded to 3 decimal places, x ≈ 12.475.
To solve for x in the equation 102.5(x − 11.92) = 71.6, we can start by distributing the 102.5 to both terms inside the parentheses. This will give us:
102.5x − 102.5(11.92) = 71.6
Next, we need to simplify the equation by performing the multiplication:
102.5x − 1219.9 = 71.6
Now, we can isolate the variable x by moving the constant term (-1219.9) to the other side of the equation. To do this, we need to add 1219.9 to both sides:
102.5x − 1219.9 + 1219.9 = 71.6 + 1219.9
Simplifying the equation further, we get:
102.5x = 1291.5
Finally, to solve for x, we divide both sides of the equation by 102.5:
x = 1291.5 / 102.5
Evaluating the division, we find:
x ≈ 12.602 (rounded to 3 decimal places)
Therefore, x is approximately equal to 12.602 when rounded to 3 decimal places.