Answered

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Solve the following proportion for [tex][tex]$x$[/tex][/tex]:

[tex]\frac{2}{3x} = \frac{5}{45}[/tex]

A. 3
B. 4
C. 15
D. 6

Sagot :

GinnyAnswer
To solve the proportion [tex]\(\frac{2}{3x} = \frac{5}{45}\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Set up the equation:
[tex]\[ \frac{2}{3x} = \frac{5}{45} \][/tex]

2. Cross-multiply to eliminate the fractions:
[tex]\[ 2 \cdot 45 = 5 \cdot 3x \][/tex]

3. Simplify both sides:
[tex]\[ 90 = 15x \][/tex]

4. Isolate the variable [tex]\(x\)[/tex] by dividing both sides by 15:
[tex]\[ x = \frac{90}{15} \][/tex]

5. Calculate the value of [tex]\(x\)[/tex]:
[tex]\[ x = 6 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] that solves the proportion [tex]\(\frac{2}{3x} = \frac{5}{45}\)[/tex] is [tex]\(6\)[/tex].
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