An open top box is made from a rectangular piece of cardboard, whose length is twice the width, by cutting a 3 in square from each corner and folding up the remaining sides. The area of the bottom of the box is 140 inches squared. What is the width?

Width = 13 inch

Step-by-step explanation:

Assume;

Width = x

Length = 2(width) = 2x

Cut 3 inch from each corner:

Width = x-3-3 = x - 6

Length = = 2x-3-3 = 2x - 6

Area of rectangle = lb

Area of rectangle = [length][width]

Area of rectangle = (2x - 6)(x - 6)

Area of rectangle = (2x - 6)(x - 6)

140 = 2x² - 12x - 6x + 36

2x² - 18x - 104

x² - 9x - 52

x² - (13-4)x - 52

x² - 13x + 4x -52

x(x-13)+4(x-13)

(x-13)(x+4)

So,

x = 13 or x = 4

Width = 13 inch

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.

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step-by-step explanation: