Answer :
To solve the problem of how many milliliters of milk the patient will drink in 8 hours, we can proceed with the following steps:
1. Understand the rate of milk consumption:
- The patient drinks [tex]\(2 \frac{3}{4}\)[/tex] cups of milk every 4 hours.
2. Convert mixed number to an improper fraction:
- The mixed number [tex]\(2 \frac{3}{4}\)[/tex] can be converted to an improper fraction, which is [tex]\(\frac{11}{4}\)[/tex] cups. This is equivalent to 2.75 cups.
3. Calculate the milk consumed in 8 hours:
- Since the patient drinks this amount every 4 hours, we want to find out how much is consumed over 8 hours. This means we need to double the amount:
- [tex]\(2.75 \times 2 = 5.5\)[/tex] cups.
4. Convert cups to milliliters:
- We use the conversion factor: 1 cup = 236.588 milliliters.
- Therefore, [tex]\(5.5\)[/tex] cups is equivalent to [tex]\(5.5 \times 236.588 = 1301.234\)[/tex] milliliters.
Therefore, the patient will drink approximately 1301.234 milliliters of milk in 8 hours. The correct label for the answer is "mL."
1. Understand the rate of milk consumption:
- The patient drinks [tex]\(2 \frac{3}{4}\)[/tex] cups of milk every 4 hours.
2. Convert mixed number to an improper fraction:
- The mixed number [tex]\(2 \frac{3}{4}\)[/tex] can be converted to an improper fraction, which is [tex]\(\frac{11}{4}\)[/tex] cups. This is equivalent to 2.75 cups.
3. Calculate the milk consumed in 8 hours:
- Since the patient drinks this amount every 4 hours, we want to find out how much is consumed over 8 hours. This means we need to double the amount:
- [tex]\(2.75 \times 2 = 5.5\)[/tex] cups.
4. Convert cups to milliliters:
- We use the conversion factor: 1 cup = 236.588 milliliters.
- Therefore, [tex]\(5.5\)[/tex] cups is equivalent to [tex]\(5.5 \times 236.588 = 1301.234\)[/tex] milliliters.
Therefore, the patient will drink approximately 1301.234 milliliters of milk in 8 hours. The correct label for the answer is "mL."