CoolStuffYT

Plug in values

21 = 17*3 + b

21 = 51+b

b = -30

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The number of quarters has to be even, because if it was odd, then it wouldn't add up.

We can have 0 Quarters all the way to 40 Quarters.

0/2 = 0, 40/2 = 20

The number of numbers between 0 to 20 is 21.

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:P

Let's find the probability that Clark wins, then subtract from 1.

Clark has a 1/5 chance of getting the fruit chew on the first draw.

Or a 4/5 chance of not.

If he has a 4/5 chance of not, then Chloe has a 3/4 chance of not.

Then Clark has a 1/3 chance of getting the fruit chew then.

Multiplying all of this, we get 1/5.

Or, if Clark has a 2/3 chance of not getting the fruit chew, then Chloe has a 1/2 chance, which means Clark must get the fruit chew at last.

Multiplying all of this gets us 1/5.

Adding the probability, we get 3/5

1-3/5 = 2/5

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Let's say the first fruit is an apple

This is a 6/13 possibility

And the probability of an orange is 7/12

6/13*7/12 = 7/26

And if the first fruit is an orange

7/13 possibility

Probability of an oragne is 1/2

7/13*1/2 = 7/26

Total probabgility = 7/26+7/26 = 14/26 = 7/13

I'm counting 16, but I may have missed some.

Let's make sure that there is at least one boy and one girl on the comittee. So far we can have 5*6 possibilities

Then we can choose any of the 9 other people

Calculate 5*6*9 to get the answer.

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:P

x^2-2xy+y^2+x^2+12y+72 <= 0

(x-y)^2+x^2+12y+72 <= 0

(x-y)^2 has to be greater than or equal to 0.

x^2 has to be greater than or equal to 0.

So 12y+72 has to be less than or equal to 0.

Based on this, can you find it?

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:P

For the moderators, it's their sleeping time right now I think ... wait a few hours and the site should be more active with mods again.