Answer:
![Ratio = 7:6](https://tex.z-dn.net/?f=Ratio%20%3D%207%3A6)
Step-by-step explanation:
Given
Initially
-- coffee
-- coffee
Joe drank 2oz coffee; So, we have:
![Joe = 12oz - 2oz](https://tex.z-dn.net/?f=Joe%20%3D%2012oz%20-%202oz)
--- coffee
Joe added 2oz cream; So, we have:
--- coffee
--- cream
JoAnn added 2oz cream and stirred. So, we have:
--- coffee
--- cream
![Total = 14oz](https://tex.z-dn.net/?f=Total%20%3D%2014oz)
JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:
![JoAnn = \frac{Cream}{Total}](https://tex.z-dn.net/?f=JoAnn%20%3D%20%5Cfrac%7BCream%7D%7BTotal%7D)
![JoAnn = \frac{2}{14}](https://tex.z-dn.net/?f=JoAnn%20%3D%20%5Cfrac%7B2%7D%7B14%7D)
![JoAnn = \frac{1}{7}](https://tex.z-dn.net/?f=JoAnn%20%3D%20%5Cfrac%7B1%7D%7B7%7D)
Amount of cream left is:
![Amount = [1- \frac{1}{7}] *2](https://tex.z-dn.net/?f=Amount%20%3D%20%5B1-%20%5Cfrac%7B1%7D%7B7%7D%5D%20%2A2)
Take LCM
![Amount = [\frac{7-1}{7}] * 2oz](https://tex.z-dn.net/?f=Amount%20%3D%20%5B%5Cfrac%7B7-1%7D%7B7%7D%5D%20%2A%202oz)
![Amount = \frac{6}{7} * 2oz](https://tex.z-dn.net/?f=Amount%20%3D%20%5Cfrac%7B6%7D%7B7%7D%20%2A%202oz)
![Amount = \frac{12}{7}oz](https://tex.z-dn.net/?f=Amount%20%3D%20%5Cfrac%7B12%7D%7B7%7Doz)
So, we have:
--- cream
cream
The ratio is:
![Ratio = 2:\frac{12}{7}](https://tex.z-dn.net/?f=Ratio%20%3D%202%3A%5Cfrac%7B12%7D%7B7%7D)
Multiply by 7
![Ratio = 14:12](https://tex.z-dn.net/?f=Ratio%20%3D%2014%3A12)
Divide by 2
![Ratio = 7:6](https://tex.z-dn.net/?f=Ratio%20%3D%207%3A6)
A= Anthony
D=Daniel
M=Mya
A=2D
M=D+6
Add them all together
A+D+M=102
Substitute
(2D)+(D)+(D+6)=102
4D+6=102
4D=96
D=24
M=D+6
M=24+6
M=$30
Hope this helps.
Answer:
7 8/21, 7.6, 7 2/3, 7.71, 7 4/5
Step-by-step explanation:
none
The function is decreasing on the interval (-∞,∞)
This means that, throughout the whole graph, the slope is negative.