Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point)
Responses

A.12.618
12.618

B.0.699
0.699

C.−11.221
negative 11.221

D.12.619
To solve for x in the equation 102.5(x - 11.92) = 71.6, you can start by dividing both sides of the equation by 102.5.
(x - 11.92) = 71.6 / 102.5
Now, simplify the right side of the equation by performing the division.
(x - 11.92) = 0.6985365853658537
Next, add 11.92 to both sides of the equation to isolate x.
x = 11.92 + 0.6985365853658537
x = 12.618536585365854
Rounded to 3 decimal places, x = 12.618.
Answer: A. 12.618
To solve for x in the equation 102.5(x−11.92)=71.6, we can follow these steps:
Step 1: Distribute the 102.5 to both terms inside the parentheses:
102.5 * x - 102.5 * 11.92 = 71.6
This simplifies to:
102.5x - 1217.4 = 71.6
Step 2: Move the constant term (-1217.4) to the right side of the equation by adding it to both sides:
102.5x = 71.6 + 1217.4
This simplifies to:
102.5x = 1289
Step 3: Divide both sides by the coefficient of x (102.5) to isolate x:
x = 1289 / 102.5
Calculating the division:
x ≈ 12.585
Step 4: Round your answer to 3 decimal places:
x ≈ 12.585 rounded to 3 decimal places is 12.585.
So the correct answer is option:
A. 12.618
To solve for x in the equation 102.5(x−11.92)=71.6, we can start by distributing 102.5 to the terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, we can simplify the equation:
102.5x - 1205.4 = 71.6
Now, let's isolate the variable x by moving the constant term to the other side of the equation:
102.5x = 71.6 + 1205.4
102.5x = 1277
Finally, divide both sides of the equation by 102.5 to solve for x:
x = 1277 / 102.5
x ≈ 12.459
Rounding to three decimal places, the solution is approximately:
x ≈ 12.459
Therefore, the correct answer is not provided in the options.