Alex came home after school one day and found that his mother had left a plate of cookies. alex ate 1 4 of the cookies. when his sister bernice came home, she ate 1 3 of the remaining cookies, and when carla came home, she ate 1 2 of the cookies on the plate. when their mother came home, there were 4 cookies on the plate. how many did each child eat?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.