Given that,
Total cost function, C (x) = 43x + $1850
The revenue function R (x) = $80x
To find,
The number of units that must be produced and sold to break even.
Solution,
At break even, cost = revenue
43x + $1850 = $80x
Subtract 80x from both sides.
43x + 1850 -80x = $80x -80x
1850 = 80x-43x
37x = 1850
x = 50
So, the required number of units are 50.
Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1)
Given.
2)
Definition of addition.
3)
Distributive property.
4)
Definitions of multiplication and decimal number.
5)
Definition of division/Associative property.
6)
Associative property.
7)
Definition of multiplication.
8)
Definition of divsion.
9)
Defintion of decimal number.
10)
Definition of addition/Result
Natalia's work is wrong.
The cost of the roll = 125 * 45 = 5625 cents
5625 / 100 = 56.25 $
Answer:
-12y + 20
Step-by-step explanation:
First, you simplify each term:
apply the distributive property:
4 - 5y - 2 (3.5y) - 2 x -8
Multiply 3.5 by -2:
4 - 5y - 2 (3.5y) - 2 x -8
Multiply -2 by -8:
4 - 5y - 7y +16
Next, we simplify by adding terms:
Add 4 + 16:
-5y - 7y + 20
Subtract 7y from 5y:
-12y + 20
Hence the simplified form is -12y + 20
Answer:
So 3x = x +8 is your equation
We adjust the equation to isolate the x and we end up with 2x = 8
We have to isolate the x even more to turn it into x = 4.
So our final answer is x = 4