1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hodyreva [135]
3 years ago
14

Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chicken

s were there? How many pigs were there?
Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

You might be interested in
HELP ME DO THIS PLEASE IM STRESSING OUT
riadik2000 [5.3K]

Answer:

36

Step-by-step explanation:

ik it bc im smart

4 0
3 years ago
Read 2 more answers
Editors preparing a report on the economy are trying to estimate the percentage of businesses that plan to hire
goldfiish [28.3K]

The number of randomly selected employers that would have to be contacted is 9604

<h3>How to solve for the value of n</h3>

The confidence level is 95%

1 - 0.95 = 0.05

We have to get the z value at 0.05

0.05/2 = 0.025

Using the standard normal table, the critical value at 0.025 = 1.96

We have to define the probability as P = 50% = 0.5

we have to define q = 1 - 50% = 0.5

The formula that would be used to find the value of n is given as

n = pq\frac{Zc}{E} ^2

These variables used are:

pq = variance of population

E = margin of error = 0.01

critical value = Zc = 1.96

n = 0.5*0.5 (\frac{1.96}{0.01})^2

= 0.25 * 38416

= 9604

Hence the sample space is given as 9604

Read more on confidence interval here:

brainly.com/question/26658887

#SPJ1

8 0
1 year ago
Can anyone please help me with my math homework!!!
Lena [83]
Number 8 is 24 hope I help please give me brainiest<span />
7 0
3 years ago
What is the number to the right of the decimal point called?
koban [17]
Tenths. Hope this helped.
5 0
3 years ago
Ubehebe crater in Death Vally has a diameter of a little more than 1/2 mile. If latisha walks around its rim at a rate of 2 mile
Sergeu [11.5K]
l=2 \pi r
r=0.25 miles
l=2×\pi×0.25
 =0.5 × 3.14
 =1.57

120(minutes)÷2(miles)=60(minutes per mile)
60×1.57=94.2 minutes 
8 0
4 years ago
Other questions:
  • A family goes to a restaurant for a meal. When they receive the bill, they calculate a 20% tip on the price of their meal before
    11·1 answer
  • a farmer bought seeds worth 45000. he bought fertilizers worth 5000. he sent 2500 as transportation charges. he sold the crops f
    10·1 answer
  • Please answer this correctly
    9·2 answers
  • What is the ratio of the amount invested in company A to the amount invested in company B? Write the answer as a fraction using
    8·2 answers
  • Which set of side lengths forms a right triangle?
    12·1 answer
  • A stock gained 2 7/8 points, lost 1 3/4 points, gained 1/2 points, lost 5 points. What was the total change in the stocks price?
    7·1 answer
  • -4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7
    12·1 answer
  • 2(3−8y)= i need help someone
    12·2 answers
  • What is the slope of the line that passes through<br> the points (-6, 6) and (10, -10)?
    12·1 answer
  • Find the perimeter of rectangle.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!