Find the indefinite integral by the substitution method or state that it cannot be found by our substitution formulas. (If it cannot be found by substitution, enter IMPOSSIBLE. Use C for the constant of integration.)

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?

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

The party planning committee has to determine the number of tables needed for an upcoming event. if a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.