the proprietor of a lemon drink stand is trying to create the perfect summer lemon drink by combining two drinks that have already been prepared. The first lemon drink consists of a mixture of water and pure lemon juice in the ratio 2 : 1, by volume. The second lemon drink, with twice the volume of the first lemon drink, is filled with a mixture of water and pure lemon juice in the ration 3 : 1, by volume. The contents of the two drinks are combined together into a third drink. This combination produces the perfect mix. Determine the ratio of water to pure lemon juice, by volume, in the perfect mix.

Hich polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3

Which of these lines passes through the point (1,-1) and has a slope of -3?

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .