Six machines, each working at the same constant rate, together can complete a certain job in 12 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 8 days? a. 2
b. 3
c. 4
d. 6
e. 8

B

Step-by-step explanation:

6 machines complete the job in 12 days;

the more machine you have faster the job will be done, inverse proportion

6 machines ---  12 days

x machines -- 8 days

you reduce the number of days by a factor of 1.5 (12/1.5)

sou you hvae to increase the number of machines by 1.5

6 x 1.5 = 9, so you will need 3 additional machines

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: