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:
45 square centimeters
Step-by-step explanation:
The area of the triangle is given by ...
A = (1/2)bh
where b is the base, 2 cm + 3 cm = 5 cm, and h is the height, 6 cm.
A = (1/2)(5 cm)(6 cm) = 15 cm^2
__
The area of the rectangle is given by ...
A = bh
where b is the base, 12 cm, and h is the height, 2.5 cm.
A = (12 cm)(2.5 cm) = 30 cm^2
__
The area of the whole figure is the area of the triangle added to the area of the rectangle:
drawing area = 15 cm^2 + 30 cm^2 = 45 cm^2
Answer:one-half x units
Step-by-step explanation:
Given
Prism has a square base with length 
If the volume of prism 
We know

Base area 


