Ask question

Ask question

All categories

3 years ago

13

A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo

only has room for 12 female gazelles. Let x = the number of female gazelles and y = the number of male gazelles. Write the constraints to represent a thriving population of gazelles at the zoo. x > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23

2 answers:

avanturin [10]3 years ago

7 0

Answer:

0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Here, x represents the number of female gazelles and y represents the number of male gazelles.

The zoo only has room for 12 female gazelles.

∵ The number of rooms must be more than or equal to the total female gazelles ,

12 ≥ x

Also, number of animals can not be negative,

And, it must be greater than 0.

⇒ 0 < x ≤ 12,

⇒ 3(0) < 3x ≤ 3(12)

⇒ 0 < 3x ≤ 36

∵ Number of males gazelles = 3 × number of female gazelles

⇒ y = 3x

⇒ 0 < y ≤ 36

Hence, the constraints to represent a thriving population of gazelles at the zoo are,

0 < x ≤ 12,

0 < y ≤ 36

AVprozaik [17]3 years ago

3 0

Answer:

B.0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

You might be interested in

The opposite corners of a quadrilateral are right angles. The quadrilateral is not a rhombus. What kind of quadrilateral is the

jolli1 [7]

I think square or rectangle

5 0

3 years ago

Read 2 more answers

How many possible outfit combinations come from 10 shirts, two slacks, and five ties? A. 17B. 25C. 100D. 20

Scilla [17]

<span>100. Since 10 shirts x 2 slacks means 20 combos with one tie and 100 with 5 ties</span>

7 0

3 years ago

Read 2 more answers

PLEASE HELP NOW --- >N is a 2-digit even number. If the last two digits of N^2 is the same as N, what is the sum of digits of

taurus [48]

Answer:

76.

Step-by-step explanation:

It is given that N is a 2-digit number.

Last two digits of N^2 is the same as N.

We know that, a number is even if it ends with 0,2,4,6,8.

$2^2=4,4^2=16,6^2=36,8^2=64$

If 0 is in end then we get two zeros in the square of that number.

It is clear that, number should ends with 6 to get the same number at the end.

$16^2=256$

$26^2=676$

$36^2=1296$

$46^2=2116$

$56^2=3136$

$66^2=4356$

$76^2=5776$

$86^2=7396$

$96^2=9216$

It is clear that last two digits of (76)^2 is the same as 76.

Therefore, the required number is 76.

6 0

4 years ago

Noah is planning his birthday party. He is deciding between three themes: space, safari, and comics. He also has to determine wh

mixas84 [53]

Answer:

the answer is 18.l hope is good

8 0

3 years ago

Read 2 more answers

How could you change the equation here so it has infinitely many solutions? What would infinitely many solutions mean in terms o

Ivanshal [37]

Answer:

there is likely no way you can switch it around but you are correct there is no plausible solution to the proble so itd be nothing

Step-by-step explanation

8 0

3 years ago