Fred and Sally are going to paint a house. Fred knows that if he had to paint the house by himself it would take him 2 times as long as it would take Sally to paint the house by herself. If they work together, they can have the house painted in 24 hours.
Which of the following equations could help us determine how long it would take Sally to paint the house on her own?

24/x + 24/2x = 1
x + 2x = 24
1/x + 1/2x = 1
x/24 + 2x/24 = 1

For g(x) = 5x - 3 and h(x) = [tex]\sqrt{x}[/tex], find (g · h)(4)

(10. in the figure, a aabc is drawn tocircumscribe a circle of radius 3 cm ,such thatthe segments bd and dc are respectively oflength 6 cm and 9 cm. find the length ofsides ab and ac.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.