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QuestionMathematics

The label on a can of lemonade gives the volume as 12 fl oz or 355 ml. Verify that these two measurements are nearly equivalent.
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Answer

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Step 1:
I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:

Step 2:
: Convert fluid ounces to milliliters

Conversion factor: $$1 \text{ fl oz} = 29.5735 \text{ ml}
To compare the two measurements, we'll convert fluid ounces to milliliters using the standard conversion factor.

Step 3:
: Calculate the equivalent volume in milliliters

12 \text{ fl oz} \times \frac{29.5735 \text{ ml}}{1 \text{ fl oz}} = 354.882 \text{ ml}

Step 4:
: Compare the calculated value with the given value

Calculated value: $$354.882 \text{ ml}
Given value: 355 \text{ ml}

Step 5:
: Calculate the difference

|354.882 - 355| = 0.118 \text{ ml}

Step 6:
: Calculate the percentage difference

\frac{0.118}{355} \times 100\% = 0.033\%

Final Answer

This confirms that the volume measurements are nearly identical.