Answer:

Step-by-step explanation:

When building a Venn Diagram, I always start from the area with the most overlap to the areas of least overlap. Once you have placed the 3 in the middle, you have counted those people, and therefore you must subtract them from the other surveys. Example: since there are 3 people that like all three subjects, now only have 5 students that like just math and English instead of 8.
Therefore:
A) 36 Students were in the survey
*Add all the numbers within the Venn diagram up. Overlapping doesn't matter because no one is double counted.
B) 6 People liked only Math
*Can't touch any other circle but Math
C) 20 Students liked English and math, but not history
*You add 9+5+6, since these bubbles are not overlapping with history.
I Hope this helps and let me know if you have any further questions!
Answer:
1/5 * 120 = 24 peanut
1/3 * 120 = 40 chocolate chips
3/10 * 120 = 36 coconut
There are 20 left
Unless there are other toppings not mentioned,
those last 20 must have sprinkles
Answer:
B. AC = 22, BC = 22, AB = 44
C. AC = 30, BC = 30, AB = 60
Step-by-step explanation:
B.
at C. (given)
(perpendicular dropped from the center of the circle to the chord bisects the chord)
AB = AC + BC = 22 + 22 = 44
C.
at C. (given)
(perpendicular dropped from the center of the circle to the chord bisects the chord)
AB = AC + BC = 30 + 30 = 60
Answer:
Step-by-step explanation:
Assuming the toppings don't have to be the same
4*10*10*10*10=4000
If the toppings have to be different:
4*10*9*8*7=20160