A delivery man can deliver 91 packages in 2 hours. If he continues at this rate, how many packages can the delivery man deliver in 8 hours?

Work Shown:

(91 packages)/(2 hours) = (x packages)/(8 hours)

91/2 = x/8

91*8 = 2*x cross multiply

728 = 2x

2x = 728

x = 728/2 divide both sides by 2

x = 364

Another approach:

If he delivers 91 packages in 2 hours, then his unit rate is 91/2 = 45.5 packages per hour. Multiply this by the 8 hours

8*45.5 = 364

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

answer for #1 is c

answer for #2 is d

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