Answer:
The constraints are
and 
Step-by-step explanation:
Let
x ----> represent the number of male birds
y ----> represent the number of female birds
we know that
The flock needs to have exactly three times more females than males to thrive
so
----> equation A
The zoo only has room for a maximum of 20 male birds
so
----> inequality B
we know that
The maximum number of male birds is 20
For x=20
substitute in the equation A

so
The maximum number of female birds is 60
so
----> inequality C
therefore
The constraints are
and 
Answer:
4
Step-by-step explanation:
Here let the number of ride tickets be r, and the number of food tickets be f.
Hence

We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)
Hence we can see that the maximum value of r is 4
Answer:
The side length of the original square was 6 inches
Step-by-step explanation:
we know that
The area of a square is

where
b is the length side of the square
Let
x ---> the length of the original square
The area of the original square is

The length of the smaller square is

The area of the smaller square is

The area of the smaller square is 1/4 the area of the original square
so

solve for x

Multiply by 4 both sides


Solve the quadratic equation by graphing
using a graphing tool
x=2, x=6
see the attached figure
The solution is x=6 in
Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)
therefore
The side length of the original square was 6 inches
Answer:
$29.50
Step-by-step explanation:
First we need to find the tip
tip = pre tax bill * 10 %
tip = 25 * .10
tip =2.5
Next we need to find the tax
tax = pre tax bill * 8%
tax = 25 * .08
tax =2
Final bill = pre tax bill + tax + tip
Final bill = 25 + 2 + 2.5
=29.50
Answer:
2h x (l+b)
2x10 X (12+10)
20 X 22
44 cm cube is your answer...