QQuestionMathematics
QuestionMathematics
The label on a soft drink bottle gives the volume in two units: 591 mL and 20 oz. Use this information to derive a conversion factor between the English and metric units.
A. 591 oz / 20 mL
B. 20 oz / 591 mL
C. 20 mL / 591 oz
D. 591 mL / 20 oz
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify the given information
- Volume in metric units: $$591 \text{ mL}
- Volume in English units: 20 \text{ oz}
Step 3:: Set up the conversion factor
The conversion factor will be the ratio of $$\frac{\text{mL}}{\text{oz}}$$ or $$\frac{\text{oz}}{\text{mL}}$$.
To create a conversion factor, we want to express the relationship between milliliters and ounces.
Step 4:: Calculate the conversion factor
\frac{591 \text{ mL}}{20 \text{ oz}} = 29.55 \frac{\text{mL}}{\text{oz}}
Step 5:: Verify the units
The units are milliliters per ounce, which is a valid conversion factor.
Step 6:: Identify the correct answer choice
Looking at the given options, we want $$\frac{591 \text{ mL}}{20 \text{ oz}}
Final Answer
This conversion factor allows you to convert between milliliters and ounces by multiplying the number of ounces by \frac{591}{20} to get milliliters.
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