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poizon [28]
3 years ago
10

Brainly help me Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3

/5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

1\\1\frac{2}{5} =1.4\\\\

1\frac{3}{5} =1.6

1.6+1.4=3

3 Liters of Fruit Punch.

3/9=1/3 Fruit Punch among the 9 glasses.

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A swimming pool is being filled at the rate of 54 pt/min (pints per minute). How many quarts per hour is this?
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Answer:

Approximately 1620\; \text{quart} / \text{hour}.

Step-by-step explanation:

The given quantity was in the unit \displaystyle \frac{\text{pint}}{\text{minute}} while the required quantity should have the unit \displaystyle \frac{\text{quart}}{\text{hour}}. It would thus be necessary to use conversion factors of the following forms:

\begin{aligned}\frac{\text{pint}}{\text{minute}} \times \underbrace{\frac{\text{minute}}{\text{hour}} \times \frac{\text{quart}}{\text{pint}}}_{\text{conversion factors}} &= \frac{\text{quart}}{\text{hour}}  \end{aligned}.

Make use of the fact that:

  • 1\; \text{pint} = 0.5\; \text{quart}, and
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Rearrange the equation 1\; \text{pint} = 0.5\; \text{quart} to obtain the conversion factor:

\begin{aligned} 1 &= \frac{0.5\; \text{quart}}{1\; \text{pint}}\end{aligned}.

Similarly, rearrange the equation 60\; \text{minute} = 1\; \text{hour} to obtain the conversion factor:

\begin{aligned} 1 &= \frac{1\; \text{hour}}{60\; \text{minute}}\end{aligned}.

Combine both conversion factors and evaluate:

\begin{aligned} & 54\; \frac{\text{pint}}{\text{minute}} \\ =\; & 54\; \frac{\text{pint}}{\text{minute}} \times \frac{0.5\; \text{quart}}{1\; \text{pint}} \times \frac{60\; \text{minute}}{1\; \text{hour}} \\ =\; & (54 \times 0.5 \times 60) \; \frac{\text{pint} \times \text{quart} \times \text{minute}}{\text{minute} \times \text{pint} \times \text{hour}} \\=\; & 1620\; \frac{\text{quart}}{\text{hour}}\end{aligned}.

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