Amari is a manager of a dog groomers. he has two professional dog groomers, riley and seymone, to wash lot of dogs. riley can wash all the dogs in 5 hours. seymone can wash all the dogs in 8 hours. amari  wants to know how long it will take them to wash all the dogs if they work together. write an equation and solve for the time it will take riley and seymone to wash all the dogs together. explain each step.

Find the zeros of the function. write the smaller solution first, and the larger solution second f(x)= (x+6)^2-49

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."

Marcus and cody both leave the park at the same time, but in opposite directions. if cody travels 6 mph faster than marcus and after 4 hours they are 64 miles apart, how fast is each traveling? solve using rare times time = distance.