Two pools are being filled with water. To start, the first pool had 1950 liters of water and the second pool had 1430 liters of water. Water is being added to the first pool at a rate of 33 liters per minute. Water is being added to the second pool at a rate of 43 liters per minute. Let x be the number of minutes water has been added

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Coronita aplis

Question 1: After how many minutes will the two pools have the same amount of water?

Answer 1: 36 minutes

Question 2: How much water will be in the pool when they have the same amount?

Answer 2: 2110 liters (this is the amount for each pool; not the combined from both pools)

Step-by-step explanation:

When do they have the same amount of water can be shown as the intersection between y=1950+33x and y=1430+43x. To find the intersection, we set them equal to each other. That means 1950+33x=1430+43x.

1950+33x=1430+43x

First let's bring the constants to one side.

1950-1430+33x=1430-1430+43x

This leaves us 520+33x=43x.

Next we bring the variables to one side like so

520+33x-33x=43x-33x

With that we have 520=10x.

Divide by the coefficient of x and we get 520/10=10x/10 or x=52. They will have equal amounts of water 52 minutes after they begin to fill.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.