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]
4 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]4 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]4 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
If a sample proportion is 0.65, which range of possible values best describes
Snezhnost [94]

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8)

<h3>How to estimate proportion?</h3>

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8).

When we are talking about population parameters, we also have to look at the way of estimating the population, we have to add two extremes and divide by 2.

Thus, the correct one is;

(0.5 + 0.8)/2 = 0.65

Read more about Population parameter at; brainly.com/question/2292917

#SPJ1

7 0
2 years ago
Shannon rolls two number cubes, each numbered one through six. She observes the numbers facing up on each number cube and finds
Natali5045456 [20]

<u>starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).</u>

5 0
3 years ago
Read 2 more answers
Which number has the same value as the digit 8 in the number 41.089???
SVETLANKA909090 [29]
The 8 would be in the hundredths place. I hope this helped. :) Brainliest answer? :)
8 0
4 years ago
At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of s
11111nata11111 [884]

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

8 0
3 years ago
Point K is located at (7,4) in the coordinate plane. Its image is created by the following rule:
Fynjy0 [20]

We are given coordinate of K point (7,4).

We need to find the new coordinate of K' point.

Given rule is K' = Ro 270°^(k).

That represents rotation of k 270 degree about the origin.

<em>The rule for rotation of 270 degree about the origin is as following:</em>

<em>(x, y) --------> (y, -x).</em>

Now, applying same rule on point (7,4).

(7,4)  -----------> (4,-7).

<h3>Therefore, the coordinates of k' is (4,-7).</h3><h3>Correct option is A. (4,-7).</h3>
6 0
3 years ago
Other questions:
  • Someone help me please!!
    13·1 answer
  • Change each percent to a decimal or a mixed decimal<br> 43%<br>2 1/2%<br>13.6%<br>521%
    11·1 answer
  • Write a formula for function f in terms of function g.
    14·1 answer
  • How do you write 100,203 in word form?
    7·2 answers
  • when doing the question 3 + 4p = -73 with lanes when I am removing 3 what do I do, subtract or add or multiply? etc.
    6·1 answer
  • Which of the following is a solution to the inequality below?<br> j&gt; 8
    13·1 answer
  • A rectangle Is (2x-3) cm long and (x+7) cm wide. What Is It's area?​
    13·2 answers
  • One sixth of a number?​
    11·1 answer
  • 3. Penny is driving from Meridian to Vicksburg. She travels of the distance between the
    9·1 answer
  • PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!