Rosa wants to use $20 to buy games. The
inequality 2.50k + 5.50 < 20.00 represents the
number of games, k, she can buy with her money.
What is the greatest number of games Rosa can
buy?
A. 5
B.
6
C. 8
D.
10

The answer is B : 6

Step-by-step explanation:

2.50k means 2.50 multiplied by a number and the inequality means 20 is less than 2.50k + 5.50.    2.50 multiplied by 6 equals 15 and 15 plus 5.50 is 20.50 which is greater than 20.

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)