Answered

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What value of [tex][tex]$x$[/tex][/tex] makes this proportion true?

[tex]\[
\frac{3}{x} = \frac{15}{40}
\][/tex]

A. 105
B. 5
C. 28
D. 8

Sagot :

GinnyAnswer
To solve the proportion

[tex]\[ \frac{3}{x} = \frac{15}{40} \][/tex]

we need to find the value of [tex]\(x\)[/tex] that makes this equation true. We can do this by cross-multiplying, which involves multiplying the numerator of one fraction by the denominator of the other fraction.

First, cross-multiply the two fractions:

[tex]\[ 3 \times 40 = 15 \times x \][/tex]

This simplifies to:

[tex]\[ 120 = 15x \][/tex]

Next, solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 15:

[tex]\[ x = \frac{120}{15} \][/tex]

Simplifying the division:

[tex]\[ x = 8 \][/tex]

Thus, the value of [tex]\(x\)[/tex] that makes the proportion true is

[tex]\[ \boxed{8} \][/tex]

Answer: D. 8
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