Answer: x=1 my friend
Step-by-step explanation:
Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below
The total cost to make 50 puppets=$1025
First, graph the three inequalities: x ≥ 5 , y ≤ 10 , 2x - y ≤ 8
Next, look for the 3 intersections (vertices) of the lines: (5, 2) , (5, 10) , (9, 10)
Finally, input the vertex coordinates into P = 4x + 5y and look for the biggest #.
(5, 2): 4(5) + 5(2) = 20 + 10 = 30
(5, 10): 4(5) + 5(10) = 20 + 50 = 70
(9, 10): 4(9) + 5(10) = 36 + 50 = 86
Answer: maximum profit = 86
The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80
Let the coldest temperature in Alaska be x
The coldest temperature recorded in Alaska was –80°F
x = –80°F
Let the coldest temperature in Siberia be y
The coldest temperature recorded in Alaska was 10°F warmer than the coldest temperature recorded in Siberia
This can be interpreted as:
Coldest temperature in Alaska = Coldest temperature in Siberia + 10
x = y + 10................(*)
Since x = -80
Substitute x = -80 into equation (*)
-80 = y + 10
This can be re-written as:
y + 10 = -80
The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80
Learn more here: brainly.com/question/2159099
