Answered

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Solve for [tex]\( y \)[/tex]:

[tex]\[
\frac{5}{4} = \frac{0.5y}{28}
\][/tex]

A. [tex]\( y = 50 \)[/tex]
B. [tex]\( y = 70 \)[/tex]
C. [tex]\( y = 140 \)[/tex]
D. [tex]\( y = 35 \)[/tex]

Sagot :

GinnyAnswer
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.
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