100pts!

you're playing a game of pool and it's your turn, but you have no direct shots. to make any shot, you will need to bank the cue ball (the white ball) off the side of the table before it hits your ball.

that means that you hit the cue ball so that it bounces off the side and then hits your colored ball, moving it in the direction of a pocket (hole). the angle that the ball hits the bumper is equal to the angle that it bounces off the bumper.

the cue ball is 18 inches from the top bumper (side of pool table) and 50 inches from the right bumper. the dimensions of the pool table are 96 inches in the horizontal direction by 46 inches in the vertical direction.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Julie begins counting backwards from 1000 by 2’s and at the same time tony begins counting forward from 100 by 3’s.   if they count at the same rate, what number will they say at the same time?

Two numbers have a sum of 93. if one number is p, express the other number in terms of p.