Solve for X....
[x/(x+314)]*100 = 42
I don't think I got the right answer. Can you possibly show the steps.
or
100x/(x+314) = 42
cross-multiply ...
100x = 42x = 13188
58x = 13188
x = 13188/58 = 6594/29 or appr 227.38
I took your * to mean multiplication, the common symbol for multiplication
If, somehow, you meant it to be an exponent, that is
[x/(x+314)]^100 = 42
then take the 100th root of both sides
x/(x+314) = ± 42^(1/100) = ± 1.038083989
take both cases, cross-multiply and solve for x
I will leave the arithmetic up to you.
To solve for x in the equation [x/(x+314)]*100 = 42, we can follow these steps:
Step 1: Eliminate the denominator by multiplying both sides of the equation by (x+314). This will give us:
[x/(x+314)] * 100 * (x+314) = 42 * (x+314)
Simplifying this equation, we get:
x * 100 = 42 * (x+314)
Step 2: Distribute on both sides of the equation to get rid of the parentheses:
100x = 42x + 42 * 314
Step 3: Combine like terms by subtracting 42x from both sides of the equation. This gives:
100x - 42x = 42 * 314
58x = 42 * 314
Step 4: Divide both sides of the equation by 58 to isolate x:
x = (42 * 314) / 58
Calculating the right-hand side, we have:
x ≈ 226.4828
So, the solution to the equation is x ≈ 226.4828.