The employees from maintenance go for coffee together every day at 9 a. m. on monday, hector paid $5.35 for three cartons of milk, six cups of coffee, a seven doughnuts. on tuesday, guillermo paid 4.80 for four milks, two coffees, and eight doughnuts. on wednesday, anna paid $4.40 for two milks, five coffees, and six doughnuts. on thursday, alphonse had to pay for two milks, five coffees, and seven doughnuts. how much change did he get back from his $10bill?

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."

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

If rt is greater than ba, which statement must be true ?