Answer:
b) 24
Step-by-step explanation:
We solve building the Venn's diagram of these sets.
We have that n(S) is the number of succesful students in a classroom.
n(F) is the number of freshmen student in that classroom.
We have that:
![n(S) = n(s) + n(S \cap F)](https://tex.z-dn.net/?f=n%28S%29%20%3D%20n%28s%29%20%2B%20n%28S%20%5Ccap%20F%29)
In which n(s) are those who are succeful but not freshmen and
are those who are succesful and freshmen.
By the same logic, we also have that:
![n(F) = n(f) + n(S \cap F)](https://tex.z-dn.net/?f=n%28F%29%20%3D%20n%28f%29%20%2B%20n%28S%20%5Ccap%20F%29)
The union is:
![n(S \cup F) = n(s) + n(f) + n(S \cap F)](https://tex.z-dn.net/?f=n%28S%20%5Ccup%20F%29%20%3D%20n%28s%29%20%2B%20n%28f%29%20%2B%20n%28S%20%5Ccap%20F%29)
In which
![n(S \cup F) = 58](https://tex.z-dn.net/?f=n%28S%20%5Ccup%20F%29%20%3D%2058)
![n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)](https://tex.z-dn.net/?f=n%28s%29%20%3D%20n%28S%29%20-%20n%28S%20%5Ccap%20F%29%20%3D%2054%20-%20n%28S%20%5Ccap%20F%29)
![n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)](https://tex.z-dn.net/?f=n%28f%29%20%3D%20n%28F%29%20-%20n%28S%20%5Ccap%20F%29%20%3D%2028%20-%20n%28S%20%5Ccap%20F%29)
So
![n(S \cup F) = n(s) + n(f) + n(S \cap F)](https://tex.z-dn.net/?f=n%28S%20%5Ccup%20F%29%20%3D%20n%28s%29%20%2B%20n%28f%29%20%2B%20n%28S%20%5Ccap%20F%29)
![58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)](https://tex.z-dn.net/?f=58%20%3D%2054%20-%20n%28S%20%5Ccap%20F%29%20%2B%2028%20-%20n%28S%20%5Ccap%20F%29%20%2B%20n%28S%20%5Ccap%20F%29)
![n(S \cap F) = 24](https://tex.z-dn.net/?f=n%28S%20%5Ccap%20F%29%20%3D%2024)
So the correct answer is:
b) 24
By the intersecting chords theorem, you have
![7\cdot4=5\cdot x\implies 5x=28\implies\boxed{x=\dfrac{28}5}](https://tex.z-dn.net/?f=7%5Ccdot4%3D5%5Ccdot%20x%5Cimplies%205x%3D28%5Cimplies%5Cboxed%7Bx%3D%5Cdfrac%7B28%7D5%7D)
First you need to find a common denominator, I'll use 72 so then it becomes:
52 32/72 + 8 63/72
Then I make them improper fractions so it becomes:
3776/72+639/72
Add them together and you have:
4415/72, this can be made into a mixed number:
61 23/72
Hope this helps :)
Answer:
i am not sure
Step-by-step explanation:
sorry i am not the best at this but you can tyr
Answer:
SS:5.6
F/60 up to 100
Step-by-step explanation: