Answer:

Step-by-step explanation:
GIVEN: Catherine sells cupcakes c for
each, The ingredients for each cupcake cost her
, and the sum of all her other expenses is
.
TO FIND: Equation to represent Catherine's profit from selling cupcakes.
SOLUTION:
Cost of ingredients for each cupcake 
sum of all other expenses 
Selling price of each cupcake 
Total cupcakes sold 
Now,
As we know that 
putting values,


Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is 
You would divide them both my two to get 9/7
The length of an arc is the fraction of its circumference based on the given intercepted angle. This is given by the equation,
L (arc) = (Angle / 360) x 2πr
Substituting the known values,
L (arc) = (40 / 360) x 2π(8 inch) = 16π/9 inch
Thus, the length of the arc is approximately equal to 5.585 inches.
Answer:
Revenue = 1380
Step-by-step explanation:
Given:
Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.
Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.
The revenue received from selling 'x' backpacks is given as:

Number of backpacks sold (x) = 40
Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.
On plugging 40 for 'x', we get:

Therefore, the revenue received by the company on selling 40 backpacks is 1380.