Answer:
Coffee = $2.00
Juice = $1.50
Doughnut = $1.00
Step-by-step explanation:
Given
Let:

So, we have:
Anna

Barry

Cathy

Required
The price of each
We have:



Make c the subject in: 

Substitute
in
and 

![2[5.00 - 3d] + j + 2d = 7.50](https://tex.z-dn.net/?f=2%5B5.00%20-%203d%5D%20%2B%20j%20%2B%202d%20%3D%207.50)

Make j the subject



![3[5.00 - 3d] + j + 4d = 11.50](https://tex.z-dn.net/?f=3%5B5.00%20-%203d%5D%20%2B%20j%20%2B%204d%20%3D%2011.50)

Make j the subject


So, we have:
and 
Equate both values of j

Collect like terms


Substitute
in 




To solve for c, we substitute
in 


Solve for c


She would earn $127.05 dollars for babysitting
Answer:
The mean for Stem is 2.5
The mean for Leaf is 81.25
Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.