Answer:
1. 14 cm
2. 20.4 cm
3. 24 - w
Step-by-step explanation:
Let's start with the last question, as it'll make answering the previous two a lot easier. In the 3rd question, we are asked to create a formula to find the length of a given rectangle, using its given perimeter of 48 centimeters and width of 
centimeters.
Therefore, let the length of the rectangle be 
, we can construct the following equation:
Now we have a formula that defines our length, if given the width of the rectangle. The only thing from here on out is to substitute the given widths to the formula we just found.
1. 
, therefore, 
.
2. 
, therefore, 
.
Answer:
You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.
Step-by-step explanation:
This problem can be solved by a system of equations.
The largest profit is going to earned when all the eggs and cups of cream in stock are used.
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 350 eggs in stock, so:
Each quart of Creamy Vanilla uses 3 cups of cream, as does each quart of Continental Mocha. There are 600 cups of cream in stock.
So:
Simplifying by 3.
We have the following system
I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y
You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.
Y = 5x + 4
Gradient = slope = 5
(0,4) = y - intercept
The answer would be n = 1
Does G equal 2.3?. because this is a very diffacult problem, but the answer may very well be 2.3.
