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alina1380 [7]
2 years ago
5

Two siblings get bags of Jelly Beans and start eating them at different speeds. After a while Maya has 3 times as many Jelly Bea

ns as her brother Tommy. If Maya is given 20 more beans by a friend, she will have 7 times as many beans as Tommy. How many Jelly Beans does Tommy have?
Mathematics
1 answer:
ololo11 [35]2 years ago
5 0
3t + 20 = 7t
20 = 7t - 3t
20 = 4t
20/4 = t
5 = t.....Tommy has 5 jelly beans
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Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)
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Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0). 

So we have this equation (-16+x)/2 = 0. Let's solve for x

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Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

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The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
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