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A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. Let x represent the number of male birds and y represent the number of female birds. Write the constraints to represent a thriving population of birds at the zoo.

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calculista

Answer:

The constraints are

[tex]0 < x\leq 20[/tex]  and [tex]0 < y\leq 60[/tex]

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

[tex]y=3x[/tex] ----> equation A

The zoo only has room for a maximum of 20 male birds

so

[tex]0 < x\leq 20[/tex] ----> inequality B

we know that

The maximum number of male birds is 20

For x=20

substitute in the equation A

[tex]y=3(20)=60[/tex]

so

The maximum number of female birds is 60

so

[tex]0 < y\leq 60[/tex] ----> inequality C

therefore

The constraints are

[tex]0 < x\leq 20[/tex]  and [tex]0 < y\leq 60[/tex]

blaseullrich518

Answer:Its D :) like the guy above said

Step-by-step explanation:

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