The students in Ms. Bass’s class decide to order water bottles that advertise the walkathon. Bruno obtains two different quotes for the costs of the bottles. Fill It Up charges $4 per bottle. Bottles by Bob charges $25 plus $3 per bottle. a. Which variable is the independent variable? Which is the dependent variable? b. For each company, write an equation Bruno could use to calculate the cost for any number of bottles. c. For what number of water bottles is the cost the same for both companies? d. Which company do you think the class should buy water bottles from and why?

Aiden buys two bags of chips at $1.09 each and a 20 ounce soda for $1.20 at the gas station.he knows that the state tax is 5.5. how much change will he receive from a $5 bill?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Write a similarity statement for the similar triangles. afgh ~ a