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
Shkiper50 [21]
2 years ago
15

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Mathematics
1 answer:
zalisa [80]2 years ago
7 0

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

You might be interested in
you are about take an 8 question multiple choice test .each of these questions has 4 answers (A,B,C,D). how many ways can you an
Leviafan [203]

4^8=65536

5 0
3 years ago
Read 2 more answers
- A butcher combined 100 lb of hamburger that cost $1.75 per pound with 40 lb of hamburger
slamgirl [31]

Answer:

$315

Step-by-step explanation:

1.75 x 100 = $175

3.50 x 40 =$140

175 + 140 = $315

8 0
3 years ago
Read 2 more answers
Solve y = f(x) = (2x+1)^1/2<br><br> &amp; g(x) = x-1
snow_lady [41]

Answer:

f(x) = x = \frac{y^{2} - 1}{2}

g(x) = 1

Step-by-step explanation:

y = (2x + 1)^1/2

y^{2} = 2x + 1

y^{2} - 1 = 2x

\frac{y^{2} - 1}{2} = x

y = x - 1

y + 1 = x

8 0
3 years ago
Solve the simultaneous equation <br>5x+2y=11<br>4x-3y=18
Kruka [31]
5x+2y=11   x4
4x-3y=18    x5

20x+8y=44
20x-15y=90

23y= -46
y= -46/23 = -2

5x+2*-2=11
5x-4=11
5x=15
x=3
5 0
3 years ago
Read 2 more answers
Three farmers, share some
Montano1993 [528]
Your answer is 30 bags, if you do 18/3=6 then 5*6=30
3 0
3 years ago
Other questions:
  • Please help me out.................
    14·1 answer
  • Is the distance jumped a constant or variable
    11·1 answer
  • What is the measure of angle DEG on circle O? Please help! 50 points!
    8·1 answer
  • A display case of sweaters are marked 3 for $44. If Betty wants to buy 21 sweaters, how much will Betty spend (not including tax
    9·1 answer
  • Please help me for the love of God if i fail I have to repeat the class
    11·1 answer
  • A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 p
    8·1 answer
  • Please Help!!! Find the approximate volume by using 3.14 (not the pi key) Round to the nearest hundredth when necessary show you
    6·1 answer
  • –18 • –17 please hrlp
    5·2 answers
  • PYTHAGORAS<br> work out the side of b.<br> give your answers to one decimal place
    13·1 answer
  • layla buys 3.6 pounds of dried fruit. the dried fruit costs $4.55 per pound. layla wants to know the total cost of the fruit.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!