Frank made cookies for his class. He gave away half of them in his first period class, but then his mom dropped off 12 more cookies. If he now has 32 cookies, how many did he start with?

The ratio of the height of two similar cylinders is 4 to 3 what is the ratio of their volumes

Point a is at 12, and point d is at 56. point c is midway between a and d, and point b is midway between a and c. which of these is the coordinate of b?

The mountain springs water company has two departments, purifying and bottling. the bottling department received 67,000 liters from the purifying department. during the period, the bottling department completed 65,000 liters, including 3,000 liters of work in process at the beginning of the period. the ending work in process was 5,000 liters. how many liters were started and completed during the period?