Thinking—Level 2 Get Started! Exit A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the legs of all his animals and realizes he has a total of 118 legs. How many chickens does the farmer have?

21 pieces of chickens.

Step-by-step explanation:

Given:

The farmer has a total of 40 animals. ( cows and chicken )

He counts the legs of all his animals and realizes he has a total of 118 legs.

Question asked:

How many chickens does the farmer have ?

Solution:

Let number of chickens =

Then  number of cows =

Now, as here given that total number of legs are 118 of all the animals, and as we know that a chicken has two legs and cow has four legs, hence the equation will be :

Total number of legs = Number of legs having chickens + Number of legs having cows

Subtracting both sides by 160

By adding both sides by minus

By dividing both sides by 2

Hence, farmer have 21 pieces of chickens.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.