Sure, let's solve this step-by-step.
We start with the given information:
[tex]\[ 40\% = \frac{X}{30} \][/tex]
First, we'll convert the percentage into decimal form. We know that:
[tex]\[ 40\% = 0.40 \][/tex]
Now we can rewrite the equation using this decimal form:
[tex]\[ 0.40 = \frac{X}{30} \][/tex]
To find the value of [tex]\(X\)[/tex], we need to isolate [tex]\(X\)[/tex] on one side of the equation. We can do this by multiplying both sides of the equation by 30:
[tex]\[ 0.40 \times 30 = X \][/tex]
Simplifying the left side:
[tex]\[ 12.0 = X \][/tex]
Thus, the value of [tex]\(X\)[/tex] is:
[tex]\[ X = 12 \][/tex]
So, if [tex]\(40\% \)[/tex] is equal to the fraction [tex]\(\frac{X}{30}\)[/tex], the value of [tex]\(X\)[/tex] is [tex]\(12\)[/tex].
