There aren’t enough components to answer this. How many generes are there? For example if there are 5 genres and the songs are evenly distributed, then there would be 18 songs because 90 divided by 5 is 18 but we only know there are 90 songs. I suppose the closest answer would be *90 divided by Y= X*
Answer:
10
4
Step-by-step explanation:
Purple: This makes two trapezoids. A=(a+b)/2 times h
1st = (4+1)/2 x 1 = 2.5
2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5
Total = 2.5+7.5=10
Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh
1st = 1/2x2x2 = 2
2nd = 1/2x2x2 = 2
Total = 2+2=4
Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
The sum of 5/30 + 4/6 would equal 25/30 because you would want to find a common denominator, which would be 30, but then you would want to simplify 25/30 because both the numerator and the denominator are both divisible by 5. so the final answer would be 5/6. Hope this helped! -Julia
