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slavikrds [6]
3 years ago
8

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

ard and told her husband that she counted 24 heads and 80 feet. How many chickens are in the yard? How many pigs are in the yard?
Mathematics
1 answer:
Fed [463]3 years ago
8 0

Using a system of equations, it is found that:

  • There are 8 chickens in the yard.
  • There are 16 pigs in the yard.

-----------------------------------------

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.

-----------------------------------------

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

Thus:

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

-----------------------------------------

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

Thus:

2x + 4y = 80

-----------------------------------------

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.

-----------------------------------------

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

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Please help! Will give brainliest, pls no fake answers or links. :)
CaHeK987 [17]
6 x 6 =
The cube has 6 sides and each side is 6 inches so it’s 6 x 6 = 36 inches
10 feet = 120 inches + 30 inches = 150 inches
No she won’t have enough for all 6 boxes
7 0
3 years ago
Read 2 more answers
A lady buys 20 trinkets at a yard sale.
Katen [24]

Answer:

Lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

Step-by-step explanation:

A lady buys total number of trinkets = 20

Cost of each trinket is either $0.30 or $0.65.

Let the number of trinkets is x she purchased for $0.30 and y for $0.65

Then x + y = 20 --------(1)

Since she spends total amount = $8.80

Then the equation will be

0.30x + 0.65y = 8.80 ---------(2)

We replace x = (20 - y) from equation (1) to equation (2)

0.30(20 - y) + 0.65y = 8.80

6 - 0.30y + 0.65y = 8.80

0.35y + 6 = 8.80

0.35y = 8.80 - 6

0.35y = 2.80

y = \frac{2.80}{0.35}

y = 8

Now we put y = 8 in equation (1)

x + 8 = 20

x = 20 - 8

x = 12

Therefore, lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

7 0
3 years ago
Which best describes howbto solve this eqation for x? X/c=d
harkovskaia [24]
Multiply both sides by c

X = d*c
4 0
3 years ago
Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun
tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

<em>Use the formula to calculate compound interest</em>:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can <u>combine the formulas</u> into:

A = P(1+\frac{r}{c})^{tc}

"c" is the compounding periods in a year. (quarterly = 4)

<u>We know</u>:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

<u>Substitute the information in the formula</u>.

A = P(1+\frac{r}{c})^{tc}

A = 8000(1+\frac{0.1}{4})^{15*4}      Solve "i" and "n"

A = 8000(1+0.025)^{60}        Solve inside the brackets

A = 8000(1.025)^{60}         Do the exponent before multiplying by 8000

A = 35198.318             Exact answer

A ≈ 35198.32              Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0
3 years ago
Whats 2+2 i dont know what it is
SOVA2 [1]

Answer:

4

Step-by-step explanation:

2+2=4

thanks:D

5 0
3 years ago
Read 2 more answers
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