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  1. For the second problem, x = 50y + 69. y must...

    For the second problem,

    x = 50y + 69. y must be even. If it were odd, then x would be even.
  2. The way I see it, the only possible answers are...

    The way I see it, the only possible answers are 13 and 5, neither of which options. Are you sure it is not between W and Z? It would make more sense.
  3. (I) Counter example. If the units digit of a is 5...

    (I) Counter example. If the units digit of a is 5 and the units digit of b is 5 then the units digit of a + b will be 0. So (I) is false.

    (II) Since the tens digit of a is 8, this will be true. ...
  4. The trick here is basically to identify that...

    The trick here is basically to identify that 2/2^m = 1/2^(m-1). If you know that you are golden.
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    926

    This is a tricky questions because it deals with...

    This is a tricky questions because it deals with time series data. For 1992 there are 6 data points which means to get the meadian we should look at the 3rd and 4th highest values, not the 3rd and...
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    This looks a little suspect. They first leave the...

    This looks a little suspect. They first leave the radical out and then in the second line they put it back in, but they have a 2 under the radical. I'd say it is an error.
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    Interesting. The prime factorization of 30 is...

    Interesting.

    The prime factorization of 30 is 2*3*5. To be divisible by 12 we need another 2* in the front of this thing, which will only happen with the even multiples. Since there are 12 total...
  8. 7x + 3y = 12 3x + 7y = 6 Subtract the second...

    7x + 3y = 12
    3x + 7y = 6
    Subtract the second from the first...
    (7x + 3y) - (3x + 7y) = 12 - 6
    Notice since 3x + 7y = 6, we subtracted the same number from each side so the equality still holds....
  9. Just use an example. Let c = 12 and d = 18. Then...

    Just use an example.
    Let c = 12 and d = 18. Then m = 6.
    gcf of c + d = 30 and 12 is 6.
    gcf of 2 + d = 20 and 12 is 4.
    gcf of cd = 216 and 12 is 12.
    gcf of 2d = 36 and 12 is 12.
    gcf of ...
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    You need the prime factorization of each. ...

    You need the prime factorization of each.

    1000 = 2*2*2*5*5*5
    68 = 2*2*17

    So the greatest prime factor of 1000 is 5 and the greastes prime factor of 68 is 17.
  11. Thread: Circle

    by Jesus Christ
    Replies
    3
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    682

    If BC went through the center of the circle then...

    If BC went through the center of the circle then x would = 90. It specifically says that it's not the diameter, so we know x <> 90. We do not know the position of BC. if the center of the circle...
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    Good catch! They fooled me. 43/60 is correct....

    Good catch! They fooled me.

    43/60 is correct. In my formula, just switch the (2/3) and the (1/3).
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    869

    (2/3)*(75/100)+(1/3)*(70/100) = 220/300 = 11/15

    (2/3)*(75/100)+(1/3)*(70/100) = 220/300 = 11/15
  14. Adding to the second part of my reply, the...

    Adding to the second part of my reply, the question is probably not best looked at as a combination question, but you COULD do the following if you really wanted to:

    Total combinations of 2...
  15. ((1/10)+1/(1/10))(1/(1/10))= 10.1 * 10 = 101 ...

    ((1/10)+1/(1/10))(1/(1/10))= 10.1 * 10 = 101

    34/100 * 33/99 = 1122/9900 = 17/150

    34/100 is the probablilty that the first selected student came from a 2-year community college. Now that one...
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