7a subgroup h is conjugate to a subgroup k of a group g if there exists an inner automorphism i, of g such that h -k prove that conjugacy is an equivalence relation on the collection of subgroups of g. 8 prove that an intersection of normal subgroups of g is again a normal subgroup of g

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.