Pablo : 3(2x) = 6x
Sofia : 2x
Mia : x
Assuming x = 10
Mia : x = 10
Sofia : 2x = 2(10) = 20
Pablo : 3(2x) = 3(20) = 60
10 + 20 + 60 = 90
90/3 = 30 candy eggs per person
Pablo: 60 x 1/2 = 30
Sophia: 30-20 = 10 : 10
Mia : 30 - 10 = 20 : 20
Ratio of eggs given to sophia from pablo's set = 10/60 = 1/6
Ratio of eggs given to mia from pablo's set = 20/60 = 2/6 = 1/3
Answer: <em>33 square feet</em>
Step-by-step explanation:
<em>First, let's take the area of the rectangle shown here which is 6ft long and 4ft wide</em>
<em>6x4=24</em>
<em>Now let's take the area of the square which is 3ft long and 3ft wide</em>
<em>3x3=9</em>
<em>Now add 24 and 9 for the total area</em>
<em>24+9=</em><em>33 square feet</em>
Find the intersection point between the 2 restraint equations:

Substitute back in to find y-value:

P is maximized at point (12,6)
2x+54= 3x
x=54
teh answer is 54
Answer:

Step-by-step explanation:
We are given that a function

We have to find the average value of function on the given interval [1,e]
Average value of function on interval [a,b] is given by

Using the formula

By Parts integration formula

u=ln x and v=dx
Apply by parts integration
![f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28%5Bxlnx%5D%5E%7Be%7D_%7B1%7D-%5Cint_%7B1%7D%5E%7Be%7D%28%5Cfrac%7B1%7D%7Bx%7D%5Ctimes%20xdx%29%29)
![f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28elne-ln1-%5Bx%5D%5E%7Be%7D_%7B1%7D%29)

By using property lne=1,ln 1=0
