Solve for x in the equation 102.5( (x) − 11.92) = 71.6 . Round your answer to 3 decimal places.
To solve the equation 102.5(x - 11.92) = 71.6, we can start by distributing the 102.5 to the terms inside the parentheses:
102.5x - 102.5 * 11.92 = 71.6
Simplifying this equation gives:
102.5x - 1219.9 = 71.6
Next, we can isolate the term with x by moving the constant term to the opposite side of the equation:
102.5x = 71.6 + 1219.9
102.5x = 1291.5
Finally, we can solve for x by dividing both sides of the equation by 102.5:
x = 1291.5 / 102.5
x ≈ 12.604
Rounded to 3 decimal places, x ≈ 12.604.
wrong sorry
Solve for x in the equation 102.5( (x) − 11.92) = 71.6 . Round your answer to 3 decimal places.
12.618
0.699
12.619
−11.221
To solve the equation 102.5(x - 11.92) = 71.6, we can start by distributing the 102.5 to the terms inside the parentheses:
102.5x - 102.5 * 11.92 = 71.6
Simplifying this equation gives:
102.5x - 1219.9 = 71.6
Next, we can isolate the term with x by moving the constant term to the opposite side of the equation:
102.5x = 71.6 + 1219.9
102.5x = 1291.5
Finally, we can solve for x by dividing both sides of the equation by 102.5:
x = 1291.5 / 102.5
x ≈ 12.618
Rounded to 3 decimal places, x ≈ 12.618.
To solve for x in the equation 102.5((x) - 11.92) = 71.6, we can follow these steps:
Step 1: Simplify the equation.
Let's start by distributing the 102.5 to the expression inside the parentheses:
102.5(x - 11.92) = 71.6
Simplify further:
102.5x - 102.5(11.92) = 71.6
Step 2: Calculate 102.5 times 11.92.
Using a calculator, multiply 102.5 and 11.92 to get the result:
102.5 * 11.92 = 1221.1
The equation becomes:
102.5x - 1221.1 = 71.6
Step 3: Solve for x.
To isolate x, we need to move the constant term (-1221.1) to the other side of the equation. We can do this by adding 1221.1 to both sides:
102.5x - 1221.1 + 1221.1 = 71.6 + 1221.1
Simplifying both sides gives us:
102.5x = 1292.7
Step 4: Divide both sides by 102.5.
To solve for x, we can divide both sides of the equation by 102.5:
(102.5x) / 102.5 = 1292.7 / 102.5
This simplifies to:
x = 12.61219512195122
Step 5: Round the answer.
Rounding to three decimal places gives us:
x ≈ 12.612
Therefore, the value of x in the equation 102.5((x) - 11.92) = 71.6, rounded to three decimal places, is approximately 12.612.