Homework Help. lots of it.?

Question

1)You must cut a cake into exactly 8 pieces, but you're only allowed to make 3 straight cuts. How can you do it?
2)can you place 6 X's on a tic tac toe board without making 3 in a row in any direction?
3)9 dots are arranged in a 3 by 3 square. connect each of the 9 using only 4 straight lines and without lifting your pen from paper?
4)a clock is observed. the hour hand is exactly at the minute mark, and the minute hand is 6 minutes ahead of it. later, the clock is observed again, this time the hour hand is exactly on a different minute mark, and the minute hand is 7 minutes ahead of it. how much time had passed?
5)there are several chickens and rabbits in a cage. there are 72 heads and 200 feet in the cage. how many chickens and rabbits are there?
6)a man has $1.15 in six coins. he can't make change for a dollar, half a dollar, quarter, dime or a nickel. what coins he has?
7)how can you express the number 100 using 6 9's and no other digits?

Answer 1

The cake is easy

Cut the cake in half (cut one)

Stack the two halves on top of each other

Cut both halves in half again, using one cut! (cut two)

Stack all four pieces together and make the final cut!!

Answer 2

1. cut it once horizontally, then make an x through the center cutting vertically. (imagine cutting a two-layer cake into fourths and then separating the layers)

2. Put two in the top left corner, two in the top right corner and two in the middle bottom square.

3. number the dots 1, 2, 3 (first row)
4, 5, 6 (second row)
7, 8, 9 (third row)
draw a line through 1, 2, 3 continuing the equivalent of a dot past three. Now draw a line thru 6, 8 continuing until you're in line with 1, 4, 7. Draw the third line up thur 1, 4, 7, and the foruth one diagonally thru 5 and 9.

4. 71 minutes

5. c + r = 72
2c + 4r = 200
2(72-r) + 4r = 200
144 + 2r = 200
r = 28
c = 44

6. half-dollar, quarter, 4 dimes

7. 99 + 99/99

Answer 3

1. No
2. Put them on top of eachother
3. start in the lower left dot and go to the upper right one. Now go down to the bottom right one but go further than the bottom, now draw your line through the middle bottom and middle left one but draw it further out, now connect the upper left and middle top. looks kinda like a plane.
4. no idea
5. 44 chickens, 28 rabbits
6. no idea
7. dont know

Answer 4

2) [ ] [x] [x]
[x] [ ] [x]
[x] [x] [ ]

7) (9 x 9) + 9 + 9 + (9/9) = 100