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use the cross product property to determine whether or not the followin…

Question

use the cross product property to determine whether or not the following equations are proportional.

\\(\frac{245}{100} = \frac{7}{3}\\)

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Cross Product Property"
],
"new_concepts": [],
"current_concepts": [
"Proportions",
"Cross Product Property"
]
}
</pre_analysis>

<reasoning>

Set up the cross products

\[
245 \times 3 \quad \text{and} \quad 100 \times 7
\]

Calculate the products

\[

$$\begin{aligned} 245 \times 3 &= 735 \\ 100 \times 7 &= 700 \end{aligned}$$

\]

Compare the results

\[
735
eq 700
\]
</reasoning>

<answer>
Not proportional
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Proportions"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Cross Product Property"
],
"new_concepts": [],
"current_concepts": [
"Proportions",
"Cross Product Property"
]
}
</pre_analysis>

<reasoning>

Set up the cross products

\[
245 \times 3 \quad \text{and} \quad 100 \times 7
\]

Calculate the products

\[

$$\begin{aligned} 245 \times 3 &= 735 \\ 100 \times 7 &= 700 \end{aligned}$$

\]

Compare the results

\[
735
eq 700
\]
</reasoning>

<answer>
Not proportional
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Proportions"
]
}
</post_analysis>