Carter has 60 balloons. 4 12 of the balloons are black, and 3 12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has? A. 12 12 = 3 × 4 12 ; 1 12 × 60 = 5 ; 4 × 5 = 20 red ballons B. 4 12 + 3 12 = 7 12 ; 1 12 × 60 = 5 ; 7 × 5 = 35 red balloons C. 12 12 − 4 12 − 3 12 = 5 12 ; 1 12 × 60 = 6 ; 6 × 5 = 30 red balloons D. 4 12 + 3 12 = 7 12 ; 12 12 − 7 12 = 5 12 ; 1 12 × 60 = 5 ; 5 × 5 = 25 red balloons

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

The transitive property of equality states that: o if a = b, then bra o if a = b, then ac = bc o if a = b and b= c, then a = if a = b and c= c, then a + b = b + c

Bo is buying a board game that usually costs bb dollars. the game is on sale, and the price has been reduced by 18\%18%. which of the following expressions could represent how much bo pays for the game? choose 2 answers: choose 2 answers: (choice a) a 0.82b0.82b (choice b) b 1.18b1.18b (choice c) c b-0.18b−0.18 (choice d) d b-18b−18 (choice e) e b-0.18bb−0.18b