The distance from Ari’s house, A, to Ben’s house, B, is equal to the distance from Ari’s house to Cal’s house, C. One day the bo
ys all met at Ari’s house, and then they went to Ben’s house, and from there to Cal’s house. Then Ari and Ben went home. Ari and Cal each wrote expressions for the distance they walked: Ari’s travel distance: (2 + 1) + ( − 4) + (2 + 1)
Cal’s travel distance: 2(2 + 1) + ( − 4)
Did Ari and Cal walk the same distance? Explain.
In the expression for Cal’s distance, why do you think (2 + 1) is multiplied by two?
Did Ben walk the same distance as the other two boys? Explain. Write an expression to represent the distance Ben walked.
if you add cal's expression up which is 2(2+1)+(-4) you would have to use distributive property which means you would have to times 2 by 2 which is 4 and then times 2 by 1 and get two and then add them together and get 2 and if you do the same thing with Ari's expression you get 2.
The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12.