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Katyanochek1 [597]
3 years ago
10

You worked 9 hours. how many of those hours were overtime hours?

Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

4? Is this even a questions? I think people work 3-7 hours a day at a normal office job...

Step-by-step explanation:


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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
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30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

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3 years ago
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Step-by-step explanation:

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Mandarinka [93]

Answer:  Attached.

Step-by-step explanation:

Either solve the equations directly, or graph them and look for the point of intersection.  

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For a school play, the teacher asked the class to set up chairs in 20 rows with 25 chairs in each row. After setting up all the
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20 rows * 25 chairs=500 chairs
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Answer=495
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