HS District 1 2010

[smeag]

Please help me on:

6543 x 876 approx

12 x 39 + 13 x 34 =

the x-intercept of the line going through (1,3) and (3,5) is (x,y) find x

111(base2) + 222 (base3) + 333(base4) = (base10)

IF two dice are rolled, the odds that the sum of the faces is 2, 3, or 12 is

how many ways can Huey, Dewey, and Louie sit in a row of four chairs?

[smeag]

can someone please answer these otherwise simple questions?

[nsguy1350]

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You can see that the slope is 1. If you go back 3 x units from (1,3), you get to (-2,0), which is the x-intercept. x = -2

7 + 26 + 63 = 86. These numbers are one less that the base cubed (three of the maximum digits: base 2 has a max digit of 1, base 3 has 2, base 4 has 3), so you can see that each of those numbers is one less than the base cubed.

Chance of 2 and 12 are 1/36 + 1/36. Three is 2/36. Add those up to get 4/36 = 1/9, and odds gives 1/8.

4P3 = 24.