Answer: 
pairs
Step-by-step explanation:
Given
Profit on selling 'x' pairs of shoes is 
Find the derivative of the function to find out the critical points
Thus, for 4 pair of shoes profit is maximize.
First pear Second pear probability
green (3/7)---------green (2/6) (3/7)*(2/6) = 1/7
---------red (4/6) (3/7) *(4/6) = 2/7
red (4/7)-------------green (3/6) (4/7)*(3/6) = 2/7
-------------red (3/6) (4/7)*(3/6) = 2/7
-------------------------
1/7 + 2/7 + 2/7 + 2/7 = 1
The probailities that two are green are: 1/7
The probabilities that one is green and the other is red are:2 /7 + 2/7 = 4/7
The probabilities that two are red are: 2/7
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
Answer:
1. 2(k + 3)
2. 3. 75 + k
Step-by-step explanation:
1. 2x + 6
Since, 2 is a common factor of 2 and 6, we can take that common outside.
So, 2x + 6 = 2(x + 3)
Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.
2. (1.5 + k) + 2.25
This is simple addition. We can simply remove the brackets to have:
1.5 + k + 2.25
Since, the like terms can be added, we will have:
1.5 + 2. 25 + k
= 3. 75 + k
