QUESTION IMAGE
Question
use the given conversion factor to convert \\(200\text{ ml}\\) to \\(\text{tsp}\\).
\\1\text{ tsp} = 5\text{ ml}\\
\\200\text{ ml} = ?\text{ tsp}\\
<pre_analysis>
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"skills_matched": [
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</pre_analysis>
<reasoning>
Identify the given values and conversion factor
We are given a volume of \(200\text{ mL}\) that needs to be converted into teaspoons (\(\text{tsp}\)).
The conversion factor provided is:
\[1\text{ tsp} = 5\text{ mL}\]
Set up the conversion equation
To convert milliliters to teaspoons, we set up a ratio where milliliters cancel out:
\[200\text{ mL} \times \frac{1\text{ tsp}}{5\text{ mL}}\]
Perform the calculation
Divide the given value by the conversion rate:
\[\frac{200}{5}\text{ tsp} = 40\text{ tsp}\]
</reasoning>
<answer>
Use the given conversion factor to convert 200 mL to tsp.
\(1\text{ tsp} = 5\text{ mL}\)
\(200\text{ mL} =\) <blank>40</blank> \(\text{tsp}\)
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Unit Conversion"
]
}
</post_analysis>
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<pre_analysis>
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"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor"
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"Dimensional Analysis",
"Unit Conversion"
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"current_concepts": [
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</pre_analysis>
<reasoning>
Identify the given values and conversion factor
We are given a volume of \(200\text{ mL}\) that needs to be converted into teaspoons (\(\text{tsp}\)).
The conversion factor provided is:
\[1\text{ tsp} = 5\text{ mL}\]
Set up the conversion equation
To convert milliliters to teaspoons, we set up a ratio where milliliters cancel out:
\[200\text{ mL} \times \frac{1\text{ tsp}}{5\text{ mL}}\]
Perform the calculation
Divide the given value by the conversion rate:
\[\frac{200}{5}\text{ tsp} = 40\text{ tsp}\]
</reasoning>
<answer>
Use the given conversion factor to convert 200 mL to tsp.
\(1\text{ tsp} = 5\text{ mL}\)
\(200\text{ mL} =\) <blank>40</blank> \(\text{tsp}\)
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Unit Conversion"
]
}
</post_analysis>