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
Katarina [22]
3 years ago
9

Farmer Faye has all of her ducks and all of her pigs in her barn. She has 12 animals in the barn and they have 32 legs. How many

ducks and how many pigs does she have?
Mathematics
2 answers:
kobusy [5.1K]3 years ago
6 0

Answer:

4 pigs and 8 ducks

Step-by-step explanation:

Let the number of ducks = d

Let the number of pigs =p

There are 12 animals in the barn,

  • p+d=12

Each pig has 4 legs and each duck has 2 legs.

Therefore:

Total Number of Legs = 4p+2d

  • 4p+2d=32

We solve the two resulting equations simultaneously.

From the first equation

p=12-d

Substitute p=12-d into 4p+2d=32

4(12-d)+2d=32

48-4d+2d=32

-2d=32-48

-2d=-16

d=8

Recall:

p=12-d=12-8=4

Therefore, there are 4 pigs and 8 ducks on the farm.

Arlecino [84]3 years ago
3 0

Answer: 8 ducks, 4 pigs

Step-by-step explanation:

Farmer Faye has her ducks and of her pigs in her barn. She has 12 animals in the barn and the animals have 32 legs.

A duck has 2 legs and a pig has 4 legs.

Let duck be d and pig be p

d+p = 12 .............. i

2d+4p= 32 .......... ii

Multiply equation i by 2

Multiply equation ii by 1

2d+2p= 24 .......... iii

2d+4p= 32 ........... iv

Subtract equation iv from iii

-2p = -8

P = 8/2

P= 4

There are 4 pigs

Since there are 12 animals and we've calculated that there are 4 pigs, ducks will be 12-4 =8

There are 8 ducks

You might be interested in
Find the missing value in each figure below. What does “y” equal?
finlep [7]

Answer:

Step-by-step explanation:

The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45

The angle in the right triangle is given as 52.

The cos(52) = adjacent side (which we just found to be 6) / y

Multiply both sides by y

y cos(52) = 6

cos(52) = 0.6157

Divide by sides by cos(52)

y = 6 / cos(52)

y = 6 / 0.6157

y = 9.76

8 0
3 years ago
3. For the equation-4y = &amp;r, what is the constant of variation? (1 point)<br> ООО<br> 02
alexandr1967 [171]

Answer:

3).

- 4y = 8x \\  \frac{y}{x}  =  \frac{8}{ - 4}  \\  \frac{y}{x} =  - 2 \\ y =  - 2x \\ hence \: constant \: is \:  - 2

4).

y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k =  \frac{24}{8}  \\ k = 3 \\ value \: of \: constant = 3

If it was by 10, k = 3 by 10

k = 30

5).

general \: equation \: of \: line  \\ y = mx + c \\ but \: m =  \frac{2}{3}  \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y =  \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27

7 0
3 years ago
Help meee plssssssssssssssssssssssssssss
Drupady [299]

Answer:

either a or c no problem nskskdjdjd

3 0
2 years ago
Enter an algebraic expression that represents the sum of fifty-seven and x cubed.
tresset_1 [31]
Jdnsjaiajiajsiiaiaia ajjakskskks
8 0
2 years ago
. 3 Przeczytaj zadanie.
sattari [20]

Answer:

hindi ko ma intindihan jknjjj

3 0
2 years ago
Other questions:
  • Add the given number in the indicated base 23 four + 33four<br><br><br><br> Please help
    10·2 answers
  • Please help ASAP Very URGENT Need help Due Tomorrow Need your help PLEASE ANYONE PLEASE COME AND HELP
    7·1 answer
  • A sphere has a diameter of 24 units. What is its volume in cubic units?
    7·2 answers
  • Lane reads 25 pages in 30 seconds. If lane reads 200 pages at the same rate how long will it take her
    10·2 answers
  • What would be the total cost?
    6·2 answers
  • PLZ ANSWER DUE BY MIDNIGHT AND I HAVE 7 MORE TO GOO
    12·2 answers
  • Find the value of x to the nearest degree.
    7·1 answer
  • Can someone help me solve this problem!!?
    14·1 answer
  • I will give brainliest to whoever answers this!!
    6·1 answer
  • I NEED HELP WITH THISSS PLSSS I HAVE NO IDEA HOW TO DO IT
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!