3
8(3)(1/2)=12
2(1/2)(4)=4
12/4=3
Answer:
11/15
Step-by-step explanation:
In this kind of problem, it is cool to always have a value for the total number of students. We can choose any arbitrary value for this. So let’s say the total number of students is 120.
Now we were told 3/5 left for the field trip. The number that left corresponds to 3/5 of 120 = 72 students. The number that didn’t go on the field trip is thus 120 - 72 = 48 students.
Now what do we know again? 1/3 of those who stayed behind didn’t want to go. The number that didn’t want to go is thus 1/3 of 48 = 16. The number that wanted to go but didn’t leave with the first batch is thus 48 - 16 = 32
Now, a bus came along and half of those who wanted to go but were left behind joined. This is equal to a value of 1/2 * 32 = 16
Now the question is what fraction of the class left for the field trip. All we need do is add the first batch to the second batch and divide the result by the total number of students. The addition of both yields = 72 + 16 = 88 students.
The fraction that left was thus 88/120 = 11/15
Well you're correct in saying that it's because it's a regular hexagon and so if one triangle is an equilateral, then all of them are. If you want a mathematical way to prove it, then if the point around N is 360° because it's around a point, then you can divide 360 by 6 (6 triangles) to get 60°. That is the angle of ENX, and therefore it is an equilateral triangle because all angles in an equilateral triangle are 60°. I hope this helps!
These are the two answers you could get
