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Nina [5.8K]
3 years ago
9

luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice . she gives 5/8 cup of juice to mags . how much is left in lu

na glass
Mathematics
2 answers:
vazorg [7]3 years ago
8 0
3/4 is equal to 6/8, and 3/8 plus 6/8 is 9/8. 9/8 minus 5/8 is 4/8 or 1/2.
bekas [8.4K]3 years ago
6 0

Answer:

\frac{1}{2}

Step-by-step explanation:

We have been given that Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice.

First of all, let us find the total amount of juice Luna had by adding the amount of orange juice to amount of cranberry juice.

\text{Total amount of juice Luna had}=\frac{3}{4}+\frac{3}{8}

Let us have a common denominator.

\text{Total amount of juice Luna had}=\frac{3\times 2}{4\times 2}+\frac{3}{8}

\text{Total amount of juice Luna had}=\frac{6}{8}+\frac{3}{8}

\text{Total amount of juice Luna had}=\frac{6+3}{8}

\text{Total amount of juice Luna had}=\frac{9}{8}

Since Luna gave 5/8 cup of juice to Mags, so let us subtract amount of juice given to Mags from the total amount of juice to find the amount of juice left in Luna's glass.

\text{Amount of juice left in Luna's glass}=\frac{9}{8}-\frac{5}{8}

\text{Amount of juice left in Luna's glass}=\frac{9-5}{8}

\text{Amount of juice left in Luna's glass}=\frac{4}{8}

\text{Amount of juice left in Luna's glass}=\frac{1}{2}

Therefore, the amount of  juice left in Luna's glass is \frac{1}{2}.

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The function is correct, I just don't see a question.

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C(n) = (12n + 65) / n         n = 4

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Step-by-step explanation:

<u>Step 1: Define</u>

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<u>Step 2 Identify</u>

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Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I
sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)

Back from the store:

s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles

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from eqn (1)

t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours

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