QUESTION IMAGE
Question
solve.
\\\frac{4}{5} = \frac{2x}{15}\\
answer
<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Proportions",
"Cross Product Property",
"Solving Algebraic Equations"
],
"new_concepts": [],
"current_concepts": [
"Proportions",
"Cross Product Property",
"Solving Algebraic Equations"
]
}
</pre_analysis>
<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.
\[\frac{4}{5} = \frac{2x}{15}\]
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
<blank>\(x = 6\)</blank>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Algebraic Equations"
]
}
</post_analysis>