Answer:
b
Step-by-step explanation:
 
        
             
        
        
        
Answer:there are 16 goats and 22 chickens.
Step-by-step explanation:
Let x represent the number of goats in the field.
Let y represent the number if chicken in the field.
After a quick count, you determine there are 38 heads and 108 feet in the field. A goat has one head. A chicken also has one head. It means that 
x + y = 38
A goat has four legs. A chicken has 2 legs. It means that 
4x + 2y = 108 - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 2y = 108
152 - 4y + 2y = 108
- 4y + 2y = 108 - 152
- 2y = - 44
y = - 44/ - 2
y = 22
x = 38 - y = 38 - 22
x = 16
 
        
             
        
        
        
Answer:
c) The given  expression represents Addition Property of Equality.
Step-by-step explanation:
Here, the given expression is j = k
Now by ADDITION PROPERTY OF EQUALITY:
The property that states that if you add the same number to both sides of an equation, the sides remain equal.
So,  <u>  if A  = B  ⇒  A + </u><u>x </u><u> =  B + </u><u>x</u>
<u></u>
Now, here given that j = k
If we add the same number 9 on both the sides, the equation remains  undisturbed. 
⇒   j + 9  = k + 9
Hence, the above expression represents Addition Property of Equality.
 
        
             
        
        
        
THe LCD is x(x^2 - 4)
so multiplying through by this we get:-
2x(x + 2) + 7x =  5(x^2 - 4)
2x^2 + 4x + 7x = 5x^2 - 20
3x^2 - 11x  - 20 = 0
(3x + 4)(x - 5 ) =  0
so x =  5 , -4/3
Its the second choice