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Ulleksa [173]
3 years ago
11

How to do distributive property using word problems?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0
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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Answer:

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Step-by-step explanation:

Given;

cost function: C = 60x + 300

revenue function: R = 100x − 0.5x²

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300 = 100x − 0.5x² - ( 60x + 300)

300 =  100x − 0.5x² - 60x - 300

300 + 300 = 100x − 0.5x² - 60x

600 = 40x - 0.5x²

600 = 40x  - ¹/₂x²

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1200 = 80x - x²

re-write the equation

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multiply through by (-1)

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factorize the quadratic equation

x² (- 60x - 20x) + 1200 = 0

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x(x - 60) -20(x - 60) = 0

(x - 20)(x - 60) = 0

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