Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. kona wants to make at least $44. let x represent the number of loaves of banana bread and let y represent the number of loaves of nut bread kona can bake. which system of inequalities models the situation?

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What expression is equivalent to 1/2(2+3x-6)

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."

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?