Answer:
6
Step-by-step explanation:
$603 dollars ÷ 100 shoppers = $6.03 per shopper, or 6
as a mixed number
Answer:
y = 3.2
Step-by-step explanation:
Simplifying
5y + -6 = 10
Reorder the terms:
-6 + 5y = 10
Solving
-6 + 5y = 10
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 5y = 10 + 6
Combine like terms: -6 + 6 = 0
0 + 5y = 10 + 6
5y = 10 + 6
Combine like terms: 10 + 6 = 16
5y = 16
Divide each side by '5'.
y = 3.2
Simplifying
y = 3.2
Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
In the given problem it is already stated that the cost of each eggs is 15 cent. Out the total eggs bought 6 were broken. The rest of the eggs were sold for 20 cents each and the profit made was $4.80.
Cost of the 6 broken eggs = (6 * 0.15)
= 0.9 cents
Let us assume that the number of eggs bought = x
Then we can write the equation as
0.2x - (0.15x - 0.9) = 4.80
0.2x - 0.15x + 0.9 = 4.80
0.05x = 4.80 - 0.9
0.05x = 3.9
x = 3.9/0.05
= 78
So the number of eggs bought by him is 78
1. Identify valid x and y points by doing vertical and horizontal line test
2. Use these toolkit to find the appropriate function