Working together, Daniel and Donnie can clean the llama pen in 50 minutes. On his own, Daniel can clean the pen in 90 minutes. How long does it take Donnie to clean the llama pen on his own?

112.5 minutes

Step-by-step explanation:

Working together, Daniel and Donnie can clean the llama pen in 50 minutes. On his own, Daniel can clean the pen in 90 minutes.

Let the number of minutes it takes Donnie to clean his Ilama pen be represented by: x

Hence, we have the expression:

1/90 + 1/x = 1/50

The Lowest Common Denominator for the left hand side = 90x

Hence:

x + 90/90x = 1/50

Cross Multiply

50(x + 90) = 90x

50x + 4500 = 90x

Collect like terms

4500 = 90x - 50x

4500 = 40x

Divide both sides by 40

x = 4500/40

x = 112.5 minutes

Therefore, it takes Donnie 112.5 minutes to clean the llama pen on his own.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

x-150=475   x=625

step-by-step explanation:

if the bike after the sale ($150) is $475 then just simply add 150 to 475.