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

avanturin [10]

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

7 0

3 years ago

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She has found that 5 out of 7 seeds produce corn. She wants to have 10,000 corn bearing plants. How many seeds should see plant

Anton [14]

It would take 70,000 seeds if five out of seven are good. So over a quantity of 50,000 plants desired, you would sow 70,000 seeds. As 20,000 would statistically fail.

3 0

3 years ago

A rectanglar swimming pool is three times as long as it is wide. If the perimeter of the soccer feild is 300 yards, what are the

fredd [130]

Answer:

The dimension of the rectangular pool is $112.5\times 37.5$

Step-by-step explanation:

Given : A rectangular swimming pool is three times as long as it is wide. If the perimeter of the soccer field is 300 yards.

To find : What are the dimensions?

Solution :

Let the width of the rectangular pool be 'x'.

A rectangular swimming pool is three times as long as it is wide.

The length of the pool be '3x'

The perimeter of the rectangular swimming pool is $P=2(l+w)$

The perimeter of the soccer field is 300 yards.

Substitute the value in the formula,

$300=2(3x+x)$

$300=2\times 4x$

$300=8x$

$x=\frac{300}{8}$

$x=37.5$

The width of the pool is x=37.5 unit

The length of the pool is $3x=3(37.5)=112.5$

Therefore, The dimension of the rectangular pool is $112.5\times 37.5$

4 0

3 years ago

At a family reunion, each of Eddie's aunts and uncles is getting photographed once. The

sveticcg [70]

Answer:

Step-by-step explanation:

It will just be 12, since the uncles can go in one group and fit 12 uncles, and than the aunts can get photographed in 2 groups that add up to 12

4 0

3 years ago

Last Saturday there were 1486 people at the Cineplex there were about the same number of people in each of six theaters between

Gre4nikov [31]

Answer: The required two number will be 247 and 248.

Step-by-step explanation:

Since we have given that

Number of people at the Cineplex on last Saturday=1486

Number of theaters are there=6

Number of people in each theatres is given by

$\frac{1486}{6}=247.66$

So it must lie between 247 and 248.

As the number of people in each theatre is 247.66 so , it may be between 247 and 248.

So, the required two number will be 247 and 248.

6 0

3 years ago

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