We appreciate your visit to A patient is drinking tex 3 frac 1 4 tex cups of milk every 3 hours If the patient continues at that rate how many. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, follow these steps:
1. Determine the cups of milk consumed in 6 hours:
- The patient drinks [tex]\(3 \frac{1}{4}\)[/tex] cups of milk every 3 hours.
- First, convert [tex]\(3 \frac{1}{4}\)[/tex] to an improper fraction or a decimal. As a decimal, this is 3.25 cups.
- Calculate the rate of milk consumption per hour: [tex]\[\frac{3.25 \text{ cups}}{3 \text{ hours}} = 1.0833 \text{ cups per hour}\][/tex]
- Now, find the total consumption in 6 hours by multiplying the hourly rate by 6:
[tex]\[1.0833 \text{ cups/hour} \times 6 \text{ hours} = 6.5 \text{ cups}\][/tex]
2. Convert cups to milliliters:
- We know that 1 cup is approximately 236.588 milliliters.
- Therefore, to convert 6.5 cups to milliliters, multiply the number of cups by the conversion factor:
[tex]\[6.5 \text{ cups} \times 236.588 \text{ mL/cup} = 1537.822 \text{ mL}\][/tex]
Thus, if the patient continues drinking at the same rate, they will consume approximately 1537.822 milliliters of milk in 6 hours. Your answer should be labeled in milliliters (mL).
1. Determine the cups of milk consumed in 6 hours:
- The patient drinks [tex]\(3 \frac{1}{4}\)[/tex] cups of milk every 3 hours.
- First, convert [tex]\(3 \frac{1}{4}\)[/tex] to an improper fraction or a decimal. As a decimal, this is 3.25 cups.
- Calculate the rate of milk consumption per hour: [tex]\[\frac{3.25 \text{ cups}}{3 \text{ hours}} = 1.0833 \text{ cups per hour}\][/tex]
- Now, find the total consumption in 6 hours by multiplying the hourly rate by 6:
[tex]\[1.0833 \text{ cups/hour} \times 6 \text{ hours} = 6.5 \text{ cups}\][/tex]
2. Convert cups to milliliters:
- We know that 1 cup is approximately 236.588 milliliters.
- Therefore, to convert 6.5 cups to milliliters, multiply the number of cups by the conversion factor:
[tex]\[6.5 \text{ cups} \times 236.588 \text{ mL/cup} = 1537.822 \text{ mL}\][/tex]
Thus, if the patient continues drinking at the same rate, they will consume approximately 1537.822 milliliters of milk in 6 hours. Your answer should be labeled in milliliters (mL).
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