A cup of tea costs $3 at a local cafe. Alan and his wife, Patty, have a coupon for $1 off their order. Alan says the expression 3t – 1 represents the cost for t cups of tea. Patty says the expression 3t + (–1) represents the cost. Are their expressions equivalent? Explain.

Avegetable garden and a surrounding path are shaped like a square together are 12 ft wide. the path is 1 feet wide. if one bag of gravel covers 8 square feet, how manu bags are needed to cover the path? round your answers to the nearest tenth.

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."

2pointswhich of the following appear in the diagram below? check all that apply. d a. zcdeов. сеo c. aéo d. zdce