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factor completely 10xy + 3y + 20ax + 6a.

(10x − 3)(y − 2a)
(10x − 3)(y + 2a)
(10x + 3)(y + 2a)
(10x + 3)(y − 2a)

factor completely 5ab + 3ay + 5b + 3y.

(5b + 3y)(a + 1)
(5b − 3y)(a + 1)
(5b + 3y)(a − 1)
prime

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

(a.s."similarity in right triangles"solve for xa.) 10b.) 20c.) 14.5d.) [tex] 6\sqrt{3} [/tex]

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?