Answer: 44) 25 45) 4 46) 27
<u>Step-by-step explanation:</u>
Filling in the Venn Diagram (from left to right, including outside of circles):
S only = 14
S ∩ F = 1
F only = 26
S ∩ B = 7
S ∩ B ∩ F = 4 --> answer to #45
F ∩ B = 14
B only = 10
<u>(S ∪ F ∪ B)' = 25</u> --> answer to #44
Total = 100
46) F total - (F ∩ B)
= 45 - 18
= 27
This is like the equation of a line where y is the area, x is the time, and 8.5% is your slope. So you have y=0.085x+b (reason why I switched 8.5% into 0.085 is because that is how you write a percent as a decimal).So now you need to find what b is. So you know orignally the area is 2400km^2 at x=0 years (this is what it is initially).If you plug those numbers in you have:2400=0.085(0)+bThen after solving for b, you can write your equation as:y=0.085x+(whatever you found b to be)Then plug 13 in for x and you have your answer. y=-.085(13)+2400
Step 3....because a number has been added only to one side of the equation
Where y represents the total number of coins and 0.5x represents the number of 5 cent coins and x represents the number of 1 cent coins...
y = 0.5x + x
= 1.5x
1/2x + 2x = 2.5x
If he exchanged 1 cent coins for 2 cent coins, he would have half the same number of 2 cent coins as he had for 5 cent coins. Instead of 2x, you would have "x" and...
y = 0.5x + 0.5x = x
y = 1x
Divide slopes..
1 / 1.5 = 2/3 or 0.67.
The answer is 2/3 so Choice B is the answer.
3x and 4x would be like terms since they both have the same variable.