{(3, 5), (3, 7), (6, 7), (4, 1), (8, 1)}

Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barny

Fed [463]

Using a system of equations, it is found that:

There are 8 chickens in the yard.

There are 16 pigs in the yard.

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This question is solved using a system of equations. I am going to say that:

x is the number of chickens.

y is the number of pigs.

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A chicken has 1 head, as do a pig.
There are 24 heads.

Thus:

$x + y = 24 \rightarrow y = 24 - x$

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A chicken has 2 feet.
A pig has 4 feet.
In total, there are 80 feet.

Thus:

$2x + 4y = 80$

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Number of chicken:

Since $y = 24 - x$

$2x + 4y = 80$

$2x + 4(24 - x) = 80$

$2x + 96 - 4x = 80$

$2x = 16$

$x = \frac{16}{2}$

$x = 8$

There are 8 chickens in the yard.

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Number of pigs:

$y = 24 - x = 24 - 8 = 16$

There are 16 pigs in the yard.

A similar problem is given at brainly.com/question/24104709

8 0

3 years ago

Sam receives $7.50 per square yard to install hardwood flooring. how much does he receive for installing 180 square yards of flo

Reptile [31]

180*$7.50= 1350, that is correct answer I think

4 0

3 years ago

A concert hall sells half price tickets to members of the armed forces. For a concert last week, the hall sold 300 tickets altog

djverab [1.8K]

Answer:

The normal ticket price is $\$22$

Step-by-step explanation:

Let

x------> the normal ticket price

we know that

The linear equation that represent this situation is

$(300-50)x+(50)\frac{x}{2}=6,050$

Solve for x

$(250)x+(25)x=6,050$

$(275)x=6,050$

$x=6,050/275=\$22$

8 0

3 years ago

Please help me on this question

Leya [2.2K]

Answer:

the things wont load whats the question?

Step-by-step explanation:

5 0

3 years ago

Help I need a equation

yarga [219]

9514 1404 393

Answer:

a) y = 3x-1

b) y = x+5

Step-by-step explanation:

a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.

The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...

y = 3x -1

__

b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...

b = y -mx

b = 7 -1·2 = 5

Then the slope-intercept equation is ...

y = x + 5

5 0

3 years ago