A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 400x+22000, where is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 420x+16000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 400x+22000 = 420x+16000 true? Round your answer to the nearest whole number.

Find the average speed of a rabbit that runs a distance of 22 m in a time of 1.8 s .

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."

There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?