The capacity of a small children’s swimming pool is 106 gallons of water. There are currently 15 gallons of water in the pool. You are filling the pool at a rate of 2 gallons per minute. 1. Write an equation that gives the amount y (in gallons) of water in the pool as a function of the number x minutes from now.
2. After how many minutes will the pool be full?

1. y=2x+15

2. 45.5 min

Step-by-step explanation:

1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.

2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

it is x=-4

step-by-step explanation: