Answered

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What is the missing value in the proportion [tex]\frac{3}{15}=\frac{2}{n}[/tex]?

A. [tex]n=5[/tex]
B. [tex]n=12[/tex]
C. [tex]n=10[/tex]
D. [tex]n=20[/tex]

Sagot :

GinnyAnswer
To find the missing value [tex]\( n \)[/tex] in the proportion [tex]\(\frac{3}{15} = \frac{2}{n}\)[/tex], we can use cross-multiplication. Here's a step-by-step approach:

1. Start with the given proportion:
[tex]\[ \frac{3}{15} = \frac{2}{n} \][/tex]

2. Cross-multiply to eliminate the fractions. This means you multiply the numerator of one fraction by the denominator of the other fraction, and vice versa:
[tex]\[ 3 \cdot n = 15 \cdot 2 \][/tex]

3. Simplify the multiplication on the right-hand side:
[tex]\[ 3n = 30 \][/tex]

4. Solve for [tex]\( n \)[/tex] by dividing both sides of the equation by 3:
[tex]\[ n = \frac{30}{3} \][/tex]

5. Simplify the division:
[tex]\[ n = 10 \][/tex]

So, the missing value [tex]\( n \)[/tex] is [tex]\( \boxed{10} \)[/tex].
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