6. a pitcher has 16 cups of water in it. during the day, aditi drank 5⁄2 cups, kavitha drank 15⁄4 cups, and rahul drank 33⁄8 cups. what are these amounts as mixed fractions? a. aditi 21⁄2 cups, kavitha 33⁄4 cups, and rahul 41⁄8 cups b. aditi 21⁄4 cups, kavitha 31⁄4 cups, and rahul 37⁄8 cups c. aditi 13⁄2 cups, kavitha 27⁄4 cups, and rahul 39⁄8 cups d. aditi 31⁄2 cups, kavitha 41⁄4 cups, and rahul 35⁄8 cups

A. Aditi 2 1/2 cups, Kavitha 3 3/4 cups, and Rahul 4 1/8 cups

Step-by-step explanation:

2*2=4 5-4=1      2 1/2

3*4=12  15-12=3       3 3/4

4*8-32  33-32=1     4 1/8

42.4

step-by-step explanation:

convert to decimal

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)