Catherine has $54. she plans to spend more than $20 of the money for a painting canvas. the rest will go toward paints. each tube of paint costs $8.50. assume that x represents the number of tubes of paint catherine can buy. the inequality that best represents this scenario is a. 8.5x + 20 > 54 b. 8.5x - 20 < 54 c. 54 - 8.5x < 20 d. 54 - 8.5x > 20the number of tubes of paint catherine can buy is a. at least 5 b. more than 4 c. less than 4 d. more than 5

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)