Answer is 22
Step by step
770 divided by 35 classes = 22 children get packed lunches
Total number of stocks bought = 20
Rate at which each stocks were bought = 31 1/2
= 63/2
Rate at which 20 stocks were bought = 20 * (63/2) dollars
= 10 * 63 dollars
= 630 dollars
Rate at which each stocks were sold = 35 1/4
= 141/4 dollars
Rate at which 20 stocks were sold = 20 * (141/4) dollars
= 5 * 141 dollars
= 705 dollars
Then
Amount of profit made by selling 20 stocks = (705 - 630) dollars
= 75 dollars
So the total amount of profit made is $75. The correct option in regards to the given question is option "D".
Answer:
The width and length of rectangle is 12.728 m
Step-by-step explanation:
Let the length of the rectangle = L
let the width of the rectangle = W
The subjective function is given by;
F(p) = 2(L + W)
F = 2L + 2W
Area of the rectangle is given by;
A = LW
LW = 162 ft²
L = 162 / W
Substitute in the value of L into subjective function;

Take the second derivative of the function, to check if it will given a minimum perimeter

Determine the critical points of the first derivative;
df/dw = 0

L = 162 / 12.728
L = 12.728 m
Therefore, the width and length of rectangle is 12.728 m
Y = 4x - 3
y = 1/3x + 4
y = -4/5x + 5
y = 3x + 10
Make an equation
6p + p = 28
Combine like terms
7p = 28
Divide
p = 4
Solution: p = 4