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Paul [167]
3 years ago
10

In a field there are cows, birds, and spiders. Spiders have 4 eyes and 8 legs each. In the field there are 20 eyes and 30 legs.

All three animals are present, and there is an odd number of each animal. How many spiders, cows, and birds are present?
Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

1 spider, 3 cows, 5 birds.

Step-by-step explanation:

Cows (C): 4 legs, 2 eyes.

Birds (B): 2 legs, 2 eyes.

Spiders (S): 8 legs, 4 eyes.

The number of legs and eyes are given, respectively by:

30 = 4C+2B+8S\\20 = 2C+2B+4S

Multiplying the second equation by -2 and adding it to the first one gives us the number of birds:

30 -40= 4C-4C+2B-4B+8S-8S\\-10 = -2B\\B=5

Rewriting the original equations with B =5:

30 = 4C+2*5+8S\\20 = 2C+2*5+4S\\20 = 4C+8S\\10 = 2C+4S\\C=5-2S

Since the number of cows cannot be negative, and both C and S must be odd numbers, the only possible value of S is 1:

C=5-2S\\S=1\\C=3

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3 x 5 = 15 + 3 = 18
we get:
18/5
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Which point is a solution to the system of linear equations?
Sloan [31]

The ordered pair which is a solution to the system of linear equations is: A. (3, 0).

<h3>How to determine the solution?</h3>

In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (3, 0), we have:

y = −x + 3

0 = -3 + 3

0 = 0 (True).

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For ordered pair (3, -1), we have:

y = −x + 3

-1 = -3 + 3

-1 = 0 (False).

For ordered pair (0, 3), we have:

y = −x + 3

3 = 0 + 3

3 = 3 (True).

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2(0) - 3 = 6

0 - 3 = 6

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For ordered pair (-1, 3), we have:

y = −x + 3

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Read more on ordered pairs here: brainly.com/question/12179097

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6 0
1 year ago
What is the definition of perfect cube and can you give an example
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3 years ago
The area of the rectangle is 54 units squared. Write and solve an equation to find x.
lord [1]

Answer: x=5

Step-by-step explanation:

The area of a rectangle can be found with the following formula:

A=lw

Where "l" is the length and "w" is the width.

In this case you can identify in the figure given in the exercise that:

l=4x-2\\\\w=3

You know that the area of that rectangle is the following:

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Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:

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6 0
2 years ago
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