If you double a number and then add 32, you get two ninths
of the original number. What is the original number?

The number is -18

Step-by-step explanation:

Let x be the original number

2x +32 = 2/9x

Multiply each side by 9 to get rid of the fractions

9(2x +32) =9* 2/9x

18x +288 = 2x

Subtract 18x from each side

18x-18x+288 = 2x-18x

288 = -16x

Divide each side by -16

288/-16 = -16x/-16

-18 =x

–18

Step-by-step explanation:

let the number is , from the problem we know that

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

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