solve for x in the equation 102.5(x-11.92)=71.6. round you answer to 3 decimal places
To solve for x in the equation 102.5(x-11.92)=71.6, we can begin by distributing 102.5 to the terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, we can simplify by multiplying:
102.5x - 1202.9 = 71.6
Now, let's isolate the variable x by adding 1202.9 to both sides of the equation:
102.5x - 1202.9 + 1202.9 = 71.6 + 1202.9
This simplifies to:
102.5x = 1274.5
Finally, to solve for x, we divide both sides of the equation by 102.5:
x = 1274.5 / 102.5
x ≈ 12.435
Rounded to 3 decimal places, x ≈ 12.435.
Options are -11.221 or 0.699 or 12.619 or 12.18
I apologize for the error in my previous response. Let's recalculate the solution:
We have the equation 102.5(x - 11.92) = 71.6.
We can begin by simplifying:
102.5x - 1211.9 = 71.6
Next, let's isolate the variable x by adding 1211.9 to both sides of the equation:
102.5x - 1211.9 + 1211.9 = 71.6 + 1211.9
This simplifies to:
102.5x = 1283.5
To solve for x, we divide both sides of the equation by 102.5:
x = 1283.5 / 102.5
x ≈ 12.519
Rounded to 3 decimal places, x ≈ 12.519.
Therefore, the correct option is 12.619.
To solve for x in the equation 102.5(x-11.92)=71.6, follow these steps:
Step 1: Distribute 102.5 through the parentheses by multiplying it with the terms inside:
102.5 * x - 102.5 * 11.92 = 71.6
Step 2: Simplify the equation:
102.5x - 1211 = 71.6
Step 3: Isolate the x term by moving the constant term to the other side of the equation:
102.5x = 71.6 + 1211
Step 4: Combine like terms:
102.5x = 1282.6
Step 5: Solve for x by dividing both sides of the equation by 102.5:
x = 1282.6 / 102.5
Step 6: Calculate the value of x using a calculator or by performing the division:
x ≈ 12.509 (rounded to 3 decimal places)
Therefore, the solution to the equation is x ≈ 12.509 when rounded to 3 decimal places.