Answer:
The maximum value of P is 18
Step-by-step explanation:
we have'the constraints
---> constraint A
---> constraint B
---> constraint C
---> constraint D
using a graphing tool
The solution of the four constraints is the quadrilateral shaded area
The vertices of the quadrilateral area are
(0,0),(3.2,0),(2,6) and (0,7.33)
see the attached figure
To find out the maximum value of the objective function P, substitute the value of x and the value of y of each vertex in the objective function and then compare the results
so
For (0,0) ----> 
For (3.2,0) ----> 
For (2,6) ----> 
For (0,7.33) ----> 
therefore
The maximum value of P is 18
Answer:
n = 16
Step-by-step explanation:
___
In general, you identify the terms containing the variable. Then figure out what is being done to the variable. Here, it is multiplied by 1/2 and then 3 is subtracted. You undo these operations in reverse order.
Undo the subtraction of 3 by adding 3. Undo the multiplication by 1/2 by multiplying by its inverse, 2. Of course, the rules of equality tell you that anything you do to one side of the equation must also be done to the other side.
You can consider it as "unwrapping the package". You start at the outside, the last operation applied, and work your way in.
Answer:
89.10
Step-by-step explanation:
To find the volume (how much soil can fit) you do Length x Width x Height in this case it is 4 x 9 x 3
4 x 9 x 3 = 108
Now you have to divide the volume by two because you only want to fill half the box.
108/2=54
Now you multiple the volume by the price to figure out how much soil will cost
54 x 1.65 = 89.1
It will cost $89.10
we know that
the total budget is $1,695------> this amount represent the 100%
The total for electric, phone, and water is equal to
$176.62+$45+$16=$237.62
<u>Find the percentage</u>
=(237.62*100)/1,695
=14.02%
therefore
<u>the answer is</u>
14%
Answer:
Step-by-step explanation:
f(-6) = 12(-6) - 7
f(-6) = -72 - 7 = -79
