Two machines, y and z, work at constant rates producing identical items. machine y produces 3 items in the same time machine z produces 2 items. if machine y takes 9 minutes to produce a batch of items, how many minutes does it take for machine z to produce the same number of items?

a. 6
b. 9
c. 9 1/2
d. 12
e. 13 1/2

E. 13 1/2

Step-by-step explanation:

As two machine Y and Z at constant rate is in 3/2 .So if a machine Y is working 3/2 then the rate of other machine Z is 2/3 time take. Y take 9 minutes.So, 9 = (2/3) the time

so T = 9 * 3 / 2

T = 13.5

So option E is true.  

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: