catmg

x^5/x = x^4

=^._.^=

original:

150 total

75 boys

75 girls

later:

75 girls is 20%

Total = 75*5 = 375

Boys = 375-75 = 300

Hope this helped. :))

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Hello Guest!

I'm sorry for the late response. 

One strategy is to multiply everything together. 

Then you should get (abcxyz)^3 = (some number)

Hopefully that helps a abit. 

=^._.^=

This is in mod 6. 

1 mod6 = A

2 mod6 = B

...

0 mod6 = F

2019 mod6 = 3

3 is C

=^._.^=

If each person gets 1/6 of a cupcake. 

1/6*30 = 5

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32:16 is the original ratio. 

2:1 is it simplified

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Let's convert everything to 3. 

(3)^(y2) = (3^5)(3^12)/(3^9)

(3)^(y2) = (3^8)

2y = 8

y = 4

Hope this helped. :))

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1 2 3 4 5 6 7 8 9 10 11 12

hm

This is harder than it seems.

You can swap 2 adjacent seats once. 

For example, I can swap 1 and 2. 

2 1 3 4 5 6 7 8 9 10 11 12

However, I can't swap a number twice. 

So once I swap 1 and 2, I can't then swap 1 and 3. 

For 6 swaps, there is 1 way you can do this. 

Swap pairs (1, 2), (3, 4), ...(11, 12)

For 5 swaps there is 6 ways of doing this. 

Swap pairs (3, 4), (5, 6)... (11, 12) not swapping (1, 2)

Swap pairs (1, 2), (5, 6)... (11, 12) not swapping (3, 4)

etc. 

I think you just have to count the number of ways you can swap, from 6 swaps to 0 swaps. 

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x(x + 6) > 16

x^2+6x > 16

x^2+6x-16 > 0

(x+8)(x-2) > 0 

x > 2 or x < -8

=^._.^=

I just happened to be on right when it was posted. :))

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