The numbers m, n, p, and q are all different, and each is equal to one of the numbers 1, 2, 3, 6, or 12. If 2m=6q=1/2n=p, what is the value of p? *
1 point
A. 2
B. 3
C. 6
D. 12

  C.  6

Step-by-step explanation:

We can write the pairwise ratios:

  q/m = 2/6 = 1/3

  q/p = 1/6

  q/n = (1/2)/6 = 1/12

Then we have ...

  q : m : p : n = 1 : 3 : 6 : 12

Each variable apparently has the value of its ratio units, so p = 6.

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