Suppose that a sphere with radius 5a has the same volume as a cone of radius 3a. what is the height of the cone? give your answer in terms of a. use the formulas and for the volumes of a sphere and cone respectively.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Ling listed all of the factors of a mystery number: 1,2,4,8,16,32 what is the mystery number?

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?