QUESTION IMAGE
Question
solve each equation:
\\\frac{2.5}{1.25} = \frac{8}{y}\\
answer
example: x=3; x=5
<pre_analysis>
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</pre_analysis>
<reasoning>
Write down the proportion
\[\frac{2.5}{1.25} = \frac{8}{y}\]
Simplify the left side
\[\frac{2.5}{1.25} = 2\]
Solve for y
\[
\]
</reasoning>
<answer>
\(y = 4\)
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
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</post_analysis>
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<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"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
\[\frac{2.5}{1.25} = \frac{8}{y}\]
Simplify the left side
\[\frac{2.5}{1.25} = 2\]
Solve for y
\[
\]
</reasoning>
<answer>
\(y = 4\)
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Algebraic Equations"
]
}
</post_analysis>