Give the most general solutions to the equation 2sin x cos x - sin(2x)cos(2x)=0

part I:
Simplify the first expression using the double-angle identity for sine

Part II:
factor the left side of the equation

Part III:
solve the factored equation

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.