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ladessa [460]
3 years ago
7

the sum of 2 positive integers is 10. the difference of their reciprocals is 3/8. find both positive integers

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0

Answer:

The 2 integers would be: 2 and 8

Step-by-step explanation:

2 + 8 = 10

Reciprocal of 2: 1/2

Reciprocal of 8: 1/8

1 / 2 - 1 / 8 = 4/8 - 1/8 = <u>3/8</u>

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Step-by-step explanation:

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How to do distributive property using word problems?
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Well, I have an example that might help:

Rico's MP3 player holds songs of three different genres: grindcore, zydeco, and kuduro. There are <span>55</span> times as many grindcore tracks as there are zydeco tracks, and there are <span>77</span> times as many kuduro tracks as there are zydeco tracks. Let <span>xx</span> represent the number of zydeco tracks. Write an expression for the total number of tracks on the MP3 player, and simplify it.

Multiply the number of zydeco tracks by <span>55</span> to get the number of grindcore tracks.

<span><span>5x</span><span>5x</span></span>

Multiply the number of zydeco tracks by <span>77</span> to get the number of kuduro tracks.

<span><span>7x</span><span>7x</span></span>

Add up the numbers of all the tracks.

<span><span>x+5x+7x</span><span>x+5x+7x</span></span>

Simplify using the distributive property.

<span><span><span>=(1+5+7)x</span><span>=13x</span></span><span><span>=(1+5+7)x</span><span>=13x</span></span></span>

So, Rico's MP3 player holds <span><span>13x</span><span>13x</span></span> tracks.


I hope I helped you!


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3 years ago
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Step-by-step explanation:

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