Joe and JoAnn each bought 12 ounces of coffee in a 16 ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee
[tex]Ratio = 7:6[/tex]
Step-by-step explanation:
Given
Initially
[tex]Joe = 12oz[/tex] -- coffee
[tex]JoAnn = 12oz[/tex] -- coffee
Joe drank 2oz coffee; So, we have:
[tex]Joe = 12oz - 2oz[/tex]
[tex]Joe = 10oz[/tex] --- coffee
Joe added 2oz cream; So, we have:
[tex]Joe = 10oz[/tex] --- coffee [tex]Joe = 2oz[/tex] --- cream
JoAnn added 2oz cream and stirred. So, we have:
[tex]Joe = 12oz[/tex] --- coffee [tex]JoAnn = 2oz[/tex] --- cream
[tex]Total = 14oz[/tex]
JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:
[tex]JoAnn = \frac{Cream}{Total}[/tex]
[tex]JoAnn = \frac{2}{14}[/tex]
[tex]JoAnn = \frac{1}{7}[/tex]
Amount of cream left is:
[tex]Amount = [1- \frac{1}{7}] *2[/tex]
Take LCM
[tex]Amount = [\frac{7-1}{7}] * 2oz[/tex]
[tex]Amount = \frac{6}{7} * 2oz[/tex]
[tex]Amount = \frac{12}{7}oz[/tex]
So, we have:
[tex]Joe = 2oz[/tex] --- cream
[tex]JoAnn = \frac{12}{7}[/tex] cream
The ratio is:
[tex]Ratio = 2:\frac{12}{7}[/tex]
Multiply by 7
[tex]Ratio = 14:12[/tex]
Divide by 2
[tex]Ratio = 7:6[/tex]
0.5 meters per second
step-by-step explanation:
the average speed between 2 seconds and 8 seconds is 0.5 meters per second.
hope this ! mark brainliest!
circle area = pi * radius^2
if diameter = 10 then radius = 5
circle area = pi * 5^2
circle area = pi * 25
circle area = 78.5398163397 square units
step-by-step explanation: