Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers. What is the greatest number of bags Lucia can make

The greatest number of bags Lucia can make = 16

Each of the 16 bags will contain 4 stickers and 3 markers

Step-by-step explanation:

Markers = 48

Stickers = 64

What is the greatest number of bags Lucia can make?

Find the highest common factor of 48 and 64

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

64 = 1, 2, 4, 8, 16, 32 and 64

The highest common factor of 48 and 64 is 16

The greatest number of bags Lucia can make = 16

Stickers = 64/16

= 4 stickers per bag

Markers = 48/16

= 3 markers per bag

Each of the 16 bags will contain 4 stickers and 3 markers

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step-by-step explanation:

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answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)