1) Chris has $1,500 in the bank and takes out 1/3 of the money. He decides to us 3/5 of the money he took from his account to pay a part of a $700 debt. After he makes this payment, how much, IN DOLLARS, does he still owe?

2) A customer buys roses and carnations from a florist. The customer pays $1.50 for 2 roses and $2.70 for 3 carnations. How much would the customer pay for 1 rose and 1 carnation, IN DOLLARS AND CENTS.

3) Emilia is making lemonade for her class. She mixes 6 and 3/4 cups of water with 1/2 cup of lemon juice and 1 and 1/8 cups of sugar. How many total cups of water, Lemmon juice, and sugar does Emilia mix to make the lemonade?
A. 7 and 1/4
B. 7 and 7/8
C. 8 and 3/8
D. 8 and 3/4

Which of the following lines does not intersect the line y=-2x+3 ? a) y=2x b) y=2x-3 c) y=2x+3 d) y=-2x-3

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x

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