A dance studio charges an application fee of $75 and $50 per month for membership. This is represented by the linear equation C = 50x + 75, where C represents the cost and x represents the number of months. They are running a "no application fee" special during the month of January. How should the linear equation be changed to represent the new price? A) Change the cost to 0. B) Change the slope to 0. Eliminate C) Change the x-intercept to 0. D) Change the y-intercept to 0.

12x + 1 = 25 solve the following equation. then place the correct number in the box provided.

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."

You got a job selling magazines door-to-door. you are paid $100 per day plus $1.50 for each magazine you sell. which recursive formula models this situation?