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Sagot :
To find the value of [tex]\( x \)[/tex] that makes the proportion
[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]
true, we can follow these steps:
1. Begin with the given proportion:
[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]
2. Use cross-multiplication to solve for [tex]\( x \)[/tex]. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. So, perform the cross-multiplication as follows:
[tex]\[ 25 \cdot 4 = 20 \cdot x \][/tex]
3. Simplify the equation derived from the cross-multiplication:
[tex]\[ 100 = 20x \][/tex]
4. To isolate [tex]\( x \)[/tex], divide both sides of the equation by 20:
[tex]\[ x = \frac{100}{20} \][/tex]
5. Simplify the fraction:
[tex]\[ x = 5 \][/tex]
Therefore, the value of [tex]\( x \)[/tex] that makes the given proportion true is [tex]\( x = 5 \)[/tex].
So, the correct answer is:
A. 5
[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]
true, we can follow these steps:
1. Begin with the given proportion:
[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]
2. Use cross-multiplication to solve for [tex]\( x \)[/tex]. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. So, perform the cross-multiplication as follows:
[tex]\[ 25 \cdot 4 = 20 \cdot x \][/tex]
3. Simplify the equation derived from the cross-multiplication:
[tex]\[ 100 = 20x \][/tex]
4. To isolate [tex]\( x \)[/tex], divide both sides of the equation by 20:
[tex]\[ x = \frac{100}{20} \][/tex]
5. Simplify the fraction:
[tex]\[ x = 5 \][/tex]
Therefore, the value of [tex]\( x \)[/tex] that makes the given proportion true is [tex]\( x = 5 \)[/tex].
So, the correct answer is:
A. 5
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