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
MissTica
3 years ago
7

If a farmer can trade four chickens for a pig, three pigs for two sheep, and five sheep for two cows, what is the minimum number

of cows he needs to trade for $20$ chickens?
Mathematics
2 answers:
katrin [286]3 years ago
5 0

Answer:

2

Step-by-step explanation:

Deffense [45]3 years ago
3 0

Answer:

The minimum of cows he needs are: 2

Step-by-step explanation:

There's a relation between each animal:

5 chickens equals 1 pig

3 pigs equals 2 sheep

5 sheep equals 2 cows

You can understand it as the following three abstractions:

5c = 1p              (1)

3p = 2s             (2)

5s = 2o             (3)

Where:

c is for chickens

p is for pigs

s is for sheep

o is for cows

So now you have three equations with 4 variables. The next step is to obtain an equation that relates directly the variable c (chickens) with the variable o (cows). In order to do that from the equation 2 we obtain s in terms of p, as follow:

3p =2s\\s=\frac{3p}{2} \\

Then we replace s in the equation 3 and we obtain v in terms of p:

5(\frac{3p}{2} )=2v\\\\2v=\frac{15}{2} p\\\\

v=\frac{15}{2*2} p \\\\v=\frac{15}{4} p

Now we replace v in the equation 1:

4c = \frac{4}{15} v

c=\frac{1}{15} v                    (4)

The equation 4 means that  1 chicken equals the fifteenth part of a cow. For this case the farmer needs 20 chikens, so we multiply per 20 each part of the equation 4:

20c = 20 * \frac{1}{15} v\\ \\\ 20c = \frac{20}{15}v = \frac{4}{3}v \\\\20c = 1.3333v

As it is impossible to have 1.3333 cows, the answer  is 2 cows approximately.

You might be interested in
It is known that 2.2< sq root 5 <2.3. Find all possible values of the expression: a sq root 5 +2 3- sq root 5 It is known
NISA [10]

Answer:

4.2 < sq. 5< 4.3

Step-by-step explanation:

since square root of 5 was +2 you just add +2 to both sides and you will get your answer, however it is different with different operations.

5 0
3 years ago
Find the measure of x.
Ratling [72]
<h3>Answer:  B.  x = 6</h3>

==========================================================

Explanation:

Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.

Set them equal to each other and solve for x.

15(x+2) = 120

15x+30 = 120

15x = 120-30

15x = 90

x = 90/15

x = 6

Or we could have the steps like this

15(x+2) = 120

x+2 = 120/15

x+2 = 8

x = 8-2

x = 6

7 0
2 years ago
✓17 is a number between what?<br>​
miv72 [106K]

Answer:

4.1 and 4.2

Step-by-step explanation:

or 4 and 5

8 0
2 years ago
If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
arlik [135]

Answer:

5

Step-by-step explanation:

20/5 = 5/1

so the answer is c

4 0
3 years ago
Read 2 more answers
How many times does 6 go into 516
8090 [49]
6 goes into 516 86times.You only divide 516/6

4 0
3 years ago
Other questions:
  • Ms.Anlonzo orderd 4,000 markers for her store.Only 1 tenth of them arrived.How many markers did she receive?
    10·1 answer
  • Tim has twice as many marbles as Luke together they have 39 marbles how many marbles does time have
    15·2 answers
  • Find the length of the missing side of the right triangle below.
    11·1 answer
  • Area and explanation please
    12·1 answer
  • You are choosing a book from your friend’s book collection. You can choose 1 of 6 science fiction books, 1 of 2 mystery books, o
    7·2 answers
  • A lab assistant wants to make 5 liters of 27.2% acid solution. If solutions of 30% and 16% are in stock, how many liters of each
    6·1 answer
  • Chef Katrina uses 1 cup of pecans for every 3 cups of peanuts in her Merry Munch Mix. One cup of pecans costs $ 4.99 and one cup
    9·1 answer
  • What is the probability that you roll a dice and get 3, then get an ace from a deck, then (without replacing the other card) dra
    9·1 answer
  • Mr. Ramirez gave his class
    14·1 answer
  • What is the value of x squared + 2 x y / 2 * W + 3 * z for w=2, x=5, y=8 and z=3​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!