Joseph deguizman, an artist, sells both large paintings and small paintings. he sells his small paintings for $60 and his large paintings for $180. at the end of the week he determined that the total amount he made selling 12 paintings was $1200. determine the number of small and the number of large paintings that he sold.

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

How long must $542 be invested at a rate of 7% to earn $303.52 in interest? in a easier way

Drag each equation to the correct location on the table. for each equation, determine the number of solutions and place on the appropriate field in the table.