Answer:
d. {(1,2),(2,2),(3,2),(4,2),(5,2),(6,2)}
Step-by-step explanation:
First one can be any of the six outcomes
Concentration = [ (mass of sugar)/(mass of solution) ] * 100
=> mass of solution = mass of sugar * 100 / concentration
1) concentration 20%
mass of sugar = 0.5 lbs
=> mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 20
mass of solution = 2,5 lbs
mass of water = mass of solution - mass of sugar = 2.5 lbs - 0.5 lbs = 2.0 lbs
Answer: she must add 2.0 lbs of water and will obtain 2.5 lbs of syrup
2) concentration 25%
Follow the same procedure.
mass of solution = 0.5 lbs * 100 / 25 =
mass of solution = 2.0 lbs
mass of water = 2.0 lbs - 0.5 lbs = 1.5lbs
Answer: she has to add 1.5 lbs of water and will obtain 2.0 lbs of syrup
3) Same procedure
mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 1.5
mass of solution = 33.33 lbs
mass of water = 33.33 lbs - 0.5 lbs = 32.83 lbs
Answer: she has to add 32.83 lbs of water and will obtain 32.83 lbs of syrup
Refer to this previous solution set
brainly.com/question/26114608
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Problem 4
Like the three earlier problems, we'll place the kicker at the origin and have her kick to the right. The two roots in this case are x = 0 and x = 20 to represent when the ball is on the ground.
This leads to the factors x and x-20 and the equation 
We'll plug in (x,y) = (10,28) which is the vertex point. The 10 is the midpoint of 0 and 20 mentioned earlier.
Let's solve for 'a'.

This then leads us to:

The equation is in the form
with 
The graph is below in blue.
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Problem 5
The same set up applies as before.
This time we have the roots x = 0 and x = 100 to lead to the factors x and x-100. We have the equation 
We'll use the vertex point (50,12) to find 'a'.

Then we can find the standard form

The graph is below in red.
Answer:
10%
Step-by-step explanation: