Mariam’s uncle donate 120 cans of juice and 90 packs of cheese cracker for the school picnic. each student must receive the same number of cans of juice and the same numbers of pack of cracker with no leftover. suppose mariam uncle eats two pack of the cracker before he brings the supplies to school. what is the greatest number of student who can share the food equally? how many cans of juice and packs of cracker will each student receive? explain

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

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."

Pr and pt a) pr = ps + pt b)pr = ps · pt c)(pr)2 = ps · pt