Louis wants to carpet the rectangular floor of his basement. the basement has an area of 864 sq. feet. the width of the basement is 2/3 its length what is the length of louis's basement.

36 ft  

Step-by-step explanation:

A = lw

Data:

A = 864 ft²

 l = length of basement

w = ⅔l

Calculations:

864 = l × ⅔l

864 = ⅔l²

Multiply each side by 3:               2592 = 2l²

Divide each side by 2:                  1296 = l²

Take the square root of each side:     l = 36

The length of the basement is 36 ft.

Check:

w = ⅔l = 24 ft

864 = 36 × 24

864 = 864

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

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.