Jack and Serena can write a lab report together in $6$ hours. If all people work at the same rate, how many hours would it take to write a lab report if Kay joins Jack and Serena?

What is the length of the segment joining the points at (4,5) and (6,-2) round to the nearest tenth if necessary

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

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."