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3 years ago

ASAP

Mathematics

2 answers:

denis-greek [22]3 years ago

4 0

<h2>Answer:</h2>

The constraint which represent a thriving population of penguins at the zoo is:

0 < x ≤ 10 and 0 < y ≤ 20.

<h2>Step-by-step explanation:</h2>

Let x = the number of female penguins and y = the number of male penguins.

Now, it is given that:

The group needs two times more males than females to thrive, and the zoo only has room for 10 female penguins.

This means that:

0 < x ≤ 10

( Because there are no room for more than 10 penguins )

Also,

y= 2x

Since,

x>0

This means that: 2x>0

i.e. y>0

and x ≤ 10

i.e. 2x ≤ 20

i.e. y ≤ 20

Hence, the constraints which represent a thriving population of penguins at the zoo is:

0 < x ≤ 10 and 0 < y ≤ 20.

VMariaS [17]3 years ago

3 0

Answer:

the answer to this question is option A.

Step-by-step explanation:

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MAVERICK [17]

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3 years ago

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wel

-1 17/20 and -1 8/10 can be compared easily if we give them common denominators. If we multiply the second fraction by 2, both fractions will have a denominator of 20.

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3 years ago

#13. A lighthouse casts a 128-foot shadow. A nearby lamppost that measures 5 feet 3

Ad libitum [116K]

Answer:84

Step-by-step explanation:Using proportions, it is found that the height of the lighthouse is of 84 ft.

This question is solved by proportions, using a rule of three.

For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?

The rule of three is:

5.25 feet - 8 feet

x feet - 128 feet

Applying cross multiplication:

The height of the lighthouse is of 84 ft.

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3 years ago

In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C

svp [43]

Answer:

6.5

Step-by-step explanation:

The sum of all angles in a triangle are 180 degrees.

=> 10x -10 + 8x + 10x + 8 = 180

=> 28x -2 = 180

=> 28x = 182

=> x = 6.5

So, Angle A = 10 x 6.5 -10 = 65 - 10 = 55 degrees

Angle B = 8 x 6.5 = 52 degrees

Angle C = 10 x 6.5 + 8 = 65 + 8 = 73 degrees.

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3 years ago