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
Answer:
the number of black tokens in the bag is 2
Step-by-step explanation:
The computation of the number of black tokens in the bag is as followS
Given that
There is 8 green tokens
and, the ratio of green tokens to black tokens is 4:1
So let us assume the black tokens be x
So,
Now do the cross multiplication
x = 2 tokens
Hence, the number of black tokens in the bag is 2
Answer:
The speed of the wind is 48.56
Step-by-step explanation:
We can use the following formula to calculate the distance:
distance = speed x time
Let w represent the speed of the wind.
If the plane flies with the wind, the speed will be the speed of the plane + the speed of wind. Since it can fly 910 miles, and the speed of the plane is 305
910 = (305 + w) x time (1)
If the plane flies against the wind, the speed will be the speed of the plane - the speed of wind. Since it can fly 660 miles, and the speed of the plane is 305
660 = (305 - w) x time (2)
Since the time is equal for both equation in 1 and 2:
=
→ 910(305-w) = 660(305+w)
→ 277550 - 910 w = 201300 + 660w
→ 1570w = 76250
→ w = 48.56