The fractions for this would be
1/2+1/10 which would be 3/5 which that in decimal form is .6
1 3/4 would be your answer
To make your fraction while you would add 3/4 to get 2 and the add one to get 3
So you answer would be 1 3/4
Answer:
![(x + 2x^2)-\frac{1}{18}\ln |15+18y|=C'](https://tex.z-dn.net/?f=%28x%20%2B%202x%5E2%29-%5Cfrac%7B1%7D%7B18%7D%5Cln%20%7C15%2B18y%7C%3DC%27)
Step-by-step explanation:
Given differential equation,
![\frac{dy}{dx}=15+30x+18y + 36xy](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D15%2B30x%2B18y%20%2B%2036xy)
![\frac{dy}{dx}=15(1+2x)+18y(1+2x)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D15%281%2B2x%29%2B18y%281%2B2x%29)
![\frac{dy}{dx}=(15+18y)(1+2x)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%2815%2B18y%29%281%2B2x%29)
![\frac{dy}{15+18y}=(1+2x)dx------(1)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7B15%2B18y%7D%3D%281%2B2x%29dx------%281%29)
Let 15 + 18y = t
18dy = dt
![\implies dy=\frac{dt}{18}](https://tex.z-dn.net/?f=%5Cimplies%20dy%3D%5Cfrac%7Bdt%7D%7B18%7D)
From equation (1),
![\frac{1}{18} \frac{1}{t}dt = (1+2x)dx](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B18%7D%20%5Cfrac%7B1%7D%7Bt%7Ddt%20%3D%20%281%2B2x%29dx)
Integrating both sides,
![\frac{1}{18}\ln |t| = x + 2x^2 + C](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B18%7D%5Cln%20%7Ct%7C%20%3D%20x%20%2B%202x%5E2%20%2B%20C)
![\frac{1}{18}\ln |15+18y| = x + 2x^2 + C](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B18%7D%5Cln%20%7C15%2B18y%7C%20%3D%20x%20%2B%202x%5E2%20%2B%20C)
( where C' = -C = constant)
Which is the required equation,
Where,
![G(x) = x+2x^2\text{ and }H(y) = -\frac{1}{18}\ln |15+18y|](https://tex.z-dn.net/?f=G%28x%29%20%3D%20x%2B2x%5E2%5Ctext%7B%20and%20%7DH%28y%29%20%3D%20-%5Cfrac%7B1%7D%7B18%7D%5Cln%20%7C15%2B18y%7C)
Answer:
The associative property means you can add or multiply no matter which order they are in parathesis. You can place the parathesis in any order and get the same answer.
Example:
(5x4) x 2
=40
5 x ( 4x2)
= 40
2 ?
--- = ---
3 30
3 * 10 = 30
so...
2 * 10 = 20
20
---
30
this would be the ratio...
then you subtract
30 - 20= 10 girls more than boys.
The answer is C.