Answer:
D. Go-Girls; For every ten games that they played, they only lost 1.
Step-by-step explanation:
They win nine games and lose one
9:1 is the ratio
No I think so. Hope this is right
Answer:
![A = 43.74](https://tex.z-dn.net/?f=A%20%3D%2043.74)
Step-by-step explanation:
Represent Length with L, Width with W and Perimeter with P
![P = 27](https://tex.z-dn.net/?f=P%20%3D%2027)
![L=x+3](https://tex.z-dn.net/?f=L%3Dx%2B3)
![W = \frac{2}{3}(x + 3)](https://tex.z-dn.net/?f=W%20%3D%20%5Cfrac%7B2%7D%7B3%7D%28x%20%2B%203%29)
Required
Determine the Area
From the perimeter, we need to solve for x;
![P = 2(L + W)](https://tex.z-dn.net/?f=P%20%3D%202%28L%20%2B%20W%29)
Substitute values for P, L and W
![27 = 2(x + 3 + \frac{2}{3}(x+3))](https://tex.z-dn.net/?f=27%20%3D%202%28x%20%2B%203%20%2B%20%5Cfrac%7B2%7D%7B3%7D%28x%2B3%29%29)
![27 = 2(x + 3 + \frac{2}{3}x+2)](https://tex.z-dn.net/?f=27%20%3D%202%28x%20%2B%203%20%2B%20%5Cfrac%7B2%7D%7B3%7Dx%2B2%29)
Collect Like Terms
![27 = 2(3 + 2 + x + \frac{2}{3}x)](https://tex.z-dn.net/?f=27%20%3D%202%283%20%2B%202%20%2B%20x%20%20%2B%20%5Cfrac%7B2%7D%7B3%7Dx%29)
![27 = 2(5 + \frac{3x + 2x}{3})](https://tex.z-dn.net/?f=27%20%3D%202%285%20%2B%20%5Cfrac%7B3x%20%2B%202x%7D%7B3%7D%29)
![27 = 2(5 + \frac{5x}{3})](https://tex.z-dn.net/?f=27%20%3D%202%285%20%2B%20%5Cfrac%7B5x%7D%7B3%7D%29)
Open bracket
![27 = 10 + \frac{10x}{3}](https://tex.z-dn.net/?f=27%20%3D%2010%20%2B%20%5Cfrac%7B10x%7D%7B3%7D)
Collect Like Terms
![27 - 10 = \frac{10x}{3}](https://tex.z-dn.net/?f=27%20-%2010%20%3D%20%5Cfrac%7B10x%7D%7B3%7D)
![17= \frac{10x}{3}](https://tex.z-dn.net/?f=17%3D%20%5Cfrac%7B10x%7D%7B3%7D)
Solve for x
![x = \frac{3*17}{10}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%2A17%7D%7B10%7D)
![x = \frac{51}{10}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B51%7D%7B10%7D)
![x = 5.1](https://tex.z-dn.net/?f=x%20%3D%205.1)
The Area is then calculated using:
![A = L * W](https://tex.z-dn.net/?f=A%20%3D%20L%20%2A%20W)
![A = (x + 3)*\frac{2}{3}(x+3)](https://tex.z-dn.net/?f=A%20%3D%20%28x%20%2B%203%29%2A%5Cfrac%7B2%7D%7B3%7D%28x%2B3%29)
![A = \frac{2}{3}(x+3)^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B2%7D%7B3%7D%28x%2B3%29%5E2)
Substitute 5.1 for x
![A = \frac{2}{3}(5.1+3)^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B2%7D%7B3%7D%285.1%2B3%29%5E2)
![A = \frac{2}{3}(8.1)^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B2%7D%7B3%7D%288.1%29%5E2)
![A = \frac{2}{3}*65.61](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B2%7D%7B3%7D%2A65.61)
![A = \frac{2*65.61}{3}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B2%2A65.61%7D%7B3%7D)
![A = \frac{131.22}{3}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B131.22%7D%7B3%7D)
![A = 43.74](https://tex.z-dn.net/?f=A%20%3D%2043.74)
<em>Hence, the area is </em>
<em></em>
From my understanding and calculations I got the answer D “after the first year, there are 20 frogs”
I dont know I would.ask the teacher