Answers??????????????

On a farm there are some cows and some chickens if the animals have a total of 40 heads and 112 legs how many cows are there? ho

tankabanditka [31]

Answer:

There are 16 cows and 24 chickens in the farm.

Step-by-step explanation:

A Cow has 4 legs

Chicken has 2 legs.

Lets take there $x$ chickens AND,

there are $y$ number of Cows.

Now we can write two equations for the number of heads and legs.

For the number of heads we can write,

$x+y=40$ <--------- 1st equation

For the number of legs we can write,

$2x+4y=112$ <------ 2nd equation

We can now solve the simultaneous equations to find $x$ and $y$

Multiply 1st equation by 2 and deduct it from 2nd equation to remove $x$

⇒ $2x+4y-2*(x+y)=112-80$

⇒ $2x+4y-2x-2y)=112-80$

⇒ $2y=32$

⇒ $y=16$

Therefore, there are 16 cows in the farm.

Now we can substitute the $y$ value to the 1st equation and find $x$ value.

$x+16=40$

$x=24$

Therefore, there are 24 chickens in the farm.

6 0

3 years ago

Write as a polynomial: <br><br> 2a^2(a-1)(3-a)

seropon [69]

Answer:

-2a^4+8a^3-6a^2

Step-by-step explanation:

2a^2(a-1)(3-a)

2a^2(-a^2 +3a-3+a)

2a^2(-a^2+4a-3)

-2a^4+8a^3-6a^2

6 0

3 years ago

Y’all. I need you to help me

Sergio039 [100]

Answer:

10

Step-by-step explanation:

PQ/QR = ST/TR

17.5/QR = 7/4

QR = (17.5 x 4)/7

QR = 70/7

QR = 10

3 0

4 years ago

Which is equivalent to 4:52

Alex787 [66]

<em>I think the best answer is:</em>

$\frac{1}{13}$

Explanation Below.

This is a proper fraction once the absolute value of the top number or numerator (4) is smaller than the absolute value of the bottom number or denomintor (52).

The fraction $\frac{4}{52}$ can be reduced.

We will use the Greatest Common Factor (GCF) method to simplify it.

The GCF is the largest number between which two or more numbers can be divided evenly.

To find the GCF we list the the numerator and denominator factors (*) then we find the largest number that is repeated in both lists:

* The factors of 4 are 1,2,4;

* The factors of 52 are 1,2,4,13,26,52.

We can see that the GCD is 4 because it is the largest number by which 4 y 52 can be divided without leaving any residue.

To reduce this fraction, simply divide the numerator and denominator by 4 (the GCF).

So, $\frac{4}{52} =$ $4$ ÷ $4$

-------------------------

$52$ ÷ $4$ ≈ $\frac{1}{13}$

The factors are numbers that multiply each other to get another number. For example, 2 and 3 are factors of 6, because by multiplying them you get 6.

$Goodluck!!$