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jeka57 [31]
3 years ago
10

Kyle’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video gam

es. His friend victor’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completed. If both boys spend the same amount of time on homework and reading this week, which boy gets more time playing video games
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

Answer:

Kyle

Step-by-step explanation:

<u>Kyle:</u>

Kyle’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games.

<u>Victor:</u>

Victor’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completed. If Victor spends 5 hours doing homework or reading, then he could play

30\cdot 5=150 minutes

that is

120+30=2 hours 30 minutes (less than 3 hours).

Hence, if both boys spend the same amount of time on homework and reading this week, then Kyle will have more time to play video games.

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3 years ago
The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
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Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

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2 years ago
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X=-33 y= 10

Leave first row the same multiply 2nd row by -1
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-2x+80=14
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4 years ago
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