The production rate at a marble manufacturer is 120 marbles a minute.

1) How many marbles can be produced in an 8 hour shift?
A) 28,800 marbles
B) 48,000 marbles
C) 57,600 marbles
D) 60,000 marbles

2) If the manufacturer operates 4 days a week with two shifts each day (a day shift and a night shift), how many marbles are produced in a week?
A) 230,400 marbles
B) 345,600 marbles
C) 460,800 marbles
D) 921,600 marbles

C) 57,600 marbles

C) 460,800 marbles

Step-by-step explanation:

First we need to determine how many minutes in 8 hours

8 hours* 60 minutes/1 hour = 480 minutes

Take the marbles per minute * time in minutes

120 marbles / minutes * 480 minutes = 57600 marbles

This would be the number of marbles per shift

4 days with 2 shifts per day = 8 shifts per week

8 shifts * 57600 marbles / shift =460800 marbles per week

1) C) 57,600 marbles

2) C) 460,800 marbles

Step-by-step explanation:

1) 120 × 8 × 60

57,600

2) 4 × 2 × 57,600 marbles

460,800

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8