Solve for x
in the equation 102.5(x−11.92)=71.6
. Round your answer to 3 decimal places.(1 point)
Responses
12.619
12.619
0.699
0.699
−11.221
negative 11.221
12.618
To solve for x, we can start by simplifying the equation:
102.5(x - 11.92) = 71.6
Next, we can distribute 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
102.5x - 1201.4 = 71.6
Now, we can isolate the x term by adding 1201.4 to both sides of the equation:
102.5x = 71.6 + 1201.4
102.5x = 1273
Finally, we can solve for x by dividing both sides of the equation by 102.5:
x = 1273 / 102.5
x ≈ 12.418 (rounded to 3 decimal places)
Therefore, the correct answer is not provided in the given options.
To solve for x in the equation 102.5(x−11.92)=71.6, follow these steps:
Step 1: Distribute 102.5 to the terms inside the parentheses:
102.5x - (102.5 * 11.92) = 71.6
Step 2: Simplify the equation by multiplying:
102.5x - 1219.4 = 71.6
Step 3: Move the constant term to the other side of the equation by adding 1219.4 to both sides:
102.5x = 1091
Step 4: Solve for x by dividing both sides of the equation by 102.5:
x = 1091 / 102.5
Step 5: Calculate the value of x using a calculator or by performing the division:
x ≈ 10.645
Step 6: Round the answer to 3 decimal places:
x ≈ 10.645 rounded to 3 decimal places is 10.645
Therefore, the correct answer is 10.645.
To solve for x in the equation 102.5(x−11.92)=71.6, follow these steps:
1. Distribute the 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
2. Simplify the expression on the right side:
102.5x - 1201.6 = 71.6
3. Move the constant term (1201.6) to the right side by adding it to both sides:
102.5x = 71.6 + 1201.6
4. Combine like terms on the right side:
102.5x = 1273.2
5. To solve for x, divide both sides of the equation by 102.5:
x = 1273.2 / 102.5
6. Calculate the value of x:
x ≈ 12.418
7. Round the answer to three decimal places:
x ≈ 12.619
Therefore, the solution for x in the given equation is approximately 12.619.