Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation represents how many pieces of candy did Charlie originally have?

1 : x + 10 = 24
2 : x - 10 = 24
3 : x + 24 = 10
4 : x - 24 = 10

Acircle has a diameter will endpoints of (-2,8) and (6, 4). what is the center of the circle

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."

A3-dimensional figure has a square base and 4 lateral faces that meet at a point. explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex