The beginning balance in a person's checking account was 45 dollars. After writing three checks for $6, $17 and $18 and making a deposit of $80, what was the new balance in the account?

Solve the system of equations y= 3/2 - 1, -x+ y =-3

There are three bags: a (contains 2 white and 4 red balls), b (8 white, 4 red) and c (1 white 3 red). you select one ball at random from each bag, observe that exactly two are white, but forget which ball came from which bag. what is the probability that you selected a white ball from bag a?

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?