Certainly! Let's solve the given equation step-by-step. The equation we are given is:
[tex]\[
\frac{5}{4} = \frac{0.5y}{28}
\][/tex]
To isolate [tex]\(y\)[/tex], we will start by cross-multiplying to eliminate the fractions. Cross-multiplying gives us:
[tex]\[
5 \cdot 28 = 0.5y \cdot 4
\][/tex]
Let's simplify both sides.
[tex]\[
5 \cdot 28 = 140
\][/tex]
[tex]\[
0.5 \cdot 4 = 2
\][/tex]
So, the equation simplifies to:
[tex]\[
140 = 2y
\][/tex]
Next, we need to isolate [tex]\(y\)[/tex] by dividing both sides of the equation by 2.
[tex]\[
y = \frac{140}{2}
\][/tex]
Dividing the numbers:
[tex]\[
y = 70
\][/tex]
Thus, the solution is [tex]\(y = 70\)[/tex]. So, [tex]\(y\)[/tex] equals 70.
