A company offers a raffle whose grand prize is a $35,000 new car. Additional prizes are a $900 television and a $600 computer. Tickets cost $18 each. Ticket income over the cost of the prizes will be donated to charity. Use the method of Example 9.8.5 to answer the following question. If 3,000 tickets are sold, what is the expected gain or loss (in dollars) of each ticket?

Create a real-life situation and create a system and show how it might be modeled algebraically with a system of equations (or inequalities) show all work include a few sentences explaining the situation, your variables of choice and what each represents, and how you would set it up and solve it algebraically. !

If kn = 9 cm, mn = 21 cm, rs = 42 cm, and ps = 18 cm, what is the scale factor of figure klmn to figure pqrs?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?