Solve for x in the equation
102.5 (x-11.92) = 71.6 round your answer to 3 decimal places
a. 0.699
b. 12.619
c. -11.221
d. 12.618
To solve the equation, we can start by distributing 102.5 to (x-11.92):
102.5(x-11.92) = 71.6
102.5x - 1223 = 71.6
Next, let's isolate the variable term by adding 1223 to both sides:
102.5x = 1294.6
Finally, divide both sides by 102.5 to solve for x:
x = 1294.6 / 102.5
x ≈ 12.618
Rounded to 3 decimal places, the answer is:
x ≈ 12.618
So the correct option is d. 12.618.
To solve for x in the equation 102.5(x-11.92) = 71.6, we need to follow the steps below:
1. Distribute the 102.5 to the terms inside the parentheses:
102.5x - 102.5 * 11.92 = 71.6
2. Simplify the equation by multiplying:
102.5x - 1219.1 = 71.6
3. Move the constant term to the other side by adding 1219.1 to both sides:
102.5x = 1290.7
4. Solve for x by dividing both sides by 102.5:
x = 1290.7 / 102.5
5. Round the answer to 3 decimal places:
x ≈ 12.619 (rounded to 3 decimal places)
Therefore, the solution for x is approximately 12.619.
The correct answer from the options provided is b. 12.619.
To solve for x in the equation 102.5(x - 11.92) = 71.6, follow these steps:
1. Distribute 102.5 to the terms inside the parentheses:
102.5x - (102.5)(11.92) = 71.6
2. Simplify the equation by multiplying 102.5 and 11.92:
102.5x - 1222.2 = 71.6
3. Move the constant term to the other side of the equation by adding 1222.2 to both sides:
102.5x = 71.6 + 1222.2
4. Add 71.6 and 1222.2:
102.5x = 1293.8
5. Divide both sides of the equation by 102.5 to solve for x:
x = 1293.8 / 102.5
6. Use a calculator to perform the division:
x ≈ 12.618
7. Round the answer to 3 decimal places as stated in the question:
x ≈ 12.618 ≈ 12.619
Therefore, the correct answer is option d) 12.618.