Translate: Thirty less a number is equal to the product of 2 and the sum of the number and 6

Traslate:

30 - a = 2(a+6)

The number is:

6

Step-by-step explanation:

30 - a = 2(a+6)

30 - a = 2*a + 2*6

30 - a = 2a + 12

30 - 12 = 2a + a

18 = 3a

a = 18/3

a = 6

Check:

30 - 6 = 2(6+6)

24 = 2*12

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