A cereal packing machine fill 15 oz boxes at a rate of 3 boxes every 2 minutes. production has scheduled 600 lbs to be processed during each 8-hour shift. Approoximately how many minutes of down time will the machine have during each shift.

Write a function rule for the table. hours worked pay 2 $16.00 4 $32.00 6 $48.00 8 $64.00 p = 16h p = 8.00h p = h + 16 h = 8.00p

The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square

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