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
For breakfast, Clarissa can choose from oatmeal, cereal, french toast, or scrambled eggs. She thinks that if she selects a break
Ratling [72]
There is a 25% that Clarissa will choose oatmeal. That is because there are 4 options that can be chosen at random. So the probability to choose any of the meals would be 25%.
7 0
3 years ago
Read 2 more answers
The store buys a keyboard for $35 and sells it for $61.25. What percentage was the markup?
k0ka [10]
Answer: it’s a 75% markup
3 0
3 years ago
What is number 3 and 4
Morgarella [4.7K]
NUMBER 3 :

150 feet / 15 = 10 units
120 feet / 15 = 8 units

So it will be 10 units by 8 units

NUMBER 4:

A) 525/4.2 = 120

The scale used was 120

B) 0.6 inches = 0.0152

525 / 0.0152 = 35 sheets tall
5 0
3 years ago
Do you use 8 cups of flour to make 24 muffins at that rate how much flour will it take to make 30 muffins
VladimirAG [237]
10 because you do 8/24 then that answer multiplied by 30 to get 10
7 0
3 years ago
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0
2 years ago
Other questions:
  • Help help help please
    14·1 answer
  • Which of the following statements explains how to solve for l using the formula A = lw, when A = 28 and w = 2? Divide 28 by 2. D
    12·1 answer
  • Aaliyah ate 7⁄8 of her mini-pizza, while James only ate 3⁄4 of his mini-pizza. How much more did Aaliyah eat
    6·1 answer
  • To qualify for the championship, a runner must complete the race in less than 40 minutes. Use t to represent the time (in minute
    7·1 answer
  • 2. A particular fruit's weights are normally distributed, with a mean of 300 grams and a standard deviation of 11 grams.
    9·1 answer
  • I don’t really understand can someone help
    6·1 answer
  • What is the domain of the given relation?
    10·1 answer
  • A term may be written in index form to?
    6·1 answer
  • calculate the approximate mass in kg of a 2m length of cylindrical clay pipe of external and internal diameters 15cm and 12cm.th
    12·1 answer
  • Which of the following is an exponential function y=x^1/2 y=2x^3 y=3^x
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!