Sample Response: No; you can use the multiplication property of equality first, multiplying through by 1/2, but you have to distribute. Using the addition property first means you don't have to distribute, which sometimes means that using the addition property is easier. Compare your response to the sample response above. Did your explanation say that the multiplication property of equality could be used first? identify that using the addition property of equality often makes solving equations easier? mention the distributive property?

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

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."

Justin has 750 more than eva and eva has 12 less than justin together they have a total of 63 how much money did