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QUESTION IMAGE

solve. \\\\frac{4}{5} = \\frac{2x}{15}\\ answer

Question

solve.

\\\frac{4}{5} = \frac{2x}{15}\\

answer

Explanation:

Response

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],
"needs_drawing": false,
"concepts_used": [
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"Cross Product Property",
"Solving Algebraic Equations"
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<reasoning>

Write down the proportion

\[
\frac{4}{5} = \frac{2x}{15}
\]

Apply cross-multiplication

\[
4 \cdot 15 = 5 \cdot 2x
\]
\[
60 = 10x
\]

Solve for x

\[
x = \frac{60}{10}
\]
\[
x = 6
\]
</reasoning>

<answer>
Solve.
\[\frac{4}{5} = \frac{2x}{15}\]

Answer:

<blank>\(x = 6\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Algebraic Equations"
]
}
</post_analysis>