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sladkih [1.3K]
3 years ago
8

Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation f

or his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

Orchestral\ Time = \frac{3}{10}\ hour

Step-by-step explanation:

Given

Time = 1\ hour

Musical\ Pieces = \frac{3}{4}\ hour

Practicing\ Sales = \frac{1}{4}\ hour

Orchestral = \frac{2}{5} of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = \frac{2}{5} of music practice time

Substitute \frac{3}{4}\ hour for music practice time.

So, we have:

Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour

Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour

Orchestral\ Time = \frac{3}{10}\ hour

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Answer:

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Step-by-step explanation:

i don't entirely understand the question but i think you're trying to add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches?

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

<em>i've added these parentheses in order to make it easier to see the grouped measurements. this isn't necessary but i'm just doing it to hopefully aid my explanation since there's so many terms in the expression!</em>

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start by converting everything to inches just to make the addition as well as showing your work easier. all you have to do is multiply the amount of feet by 12 because there are 12 inches in a foot! :)

<u>(3 feet 6 inches)</u><u> + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

for your first measurement, <u>3 feet 6 inches</u>, convert 3 feet to inches by multiplying the amount of feet, 3, by 12.

3(12) = 36<em> (therefore 3 feet is equal to 36 inches!)</em>

and add the remaining 6 inches.

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<u>(3 feet 6 inches) + </u><u>(8 feet 2 inches)</u><u> + (4 inches) + (2 feet 5 inches)</u>

for your second measurement, <u>8 feet 2 inches</u>, convert 8 feet to inches by multiplying the amount of feet, 8, by 12.

8(12) = 96 <em>(therefore 8 feet is equal to 96 inches!)</em>

and add the remaining 2 inches.

96 + 2 = 98 <em>(therefore 8 feet 2 inches is equal to 98 inches!)</em>

<u>(3 feet 6 inches) + (8 feet 2 inches) + </u><u>(4 inches)</u><u> + (2 feet 5 inches)</u>

nothing needs to be done to this quantity since it's already in inches.

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + </u><u>(2 feet 5 inches)</u>

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2(12) = 24 <em>(therefore 2 feet is equal to 24 inches!)</em>

and add the remaining 5 inches.

24 + 5 = 29 <em>(therefore 2 feet 5 inches is equal to 29 inches!)</em>

now, here is the expression with everything in inches.

<u>42 inches + 98 inches + 4 inches + 29 inches</u> <em>aka</em> <u>42 + 98 + 4 + 29</u>

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now add everything up!

42 + 98 + 4 + 29 = 173 inches

your total is 173 inches! i hope this helps and i hope i explained it well enough. have a lovely day! <3

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