Because 1/4 is a fractional number, it is also a ratio which means it is Rational. :)
        
                    
             
        
        
        
Answer:
 -1/8
Step-by-step explanation:
lim x approaches -6     (sqrt( 10-x) -4) / (x+6) 
Rationalize
    (sqrt( 10-x) -4)      (sqrt( 10-x) +4)
     ------------------- * -------------------
        (x+6)                 (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x)   b = 4     
(10-x) -16
-------------------
 (x+6) (sqrt( 10-x) +4)    
-6-x
-------------------
 (x+6) (sqrt( 10-x) +4) 
Factor out -1 from the numerator
-1( x+6)
-------------------
 (x+6) (sqrt( 10-x) +4) 
Cancel x+6 from the numerator and denominator
-1
-------------------
 (sqrt( 10-x) +4) 
Now take the limit
lim x approaches -6    -1/ (sqrt( 10-x) +4)
                                       -1/ (sqrt( 10- -6) +4)
                                       -1/ (sqrt(16) +4)
                                       -1 /( 4+4)
                                         -1/8
 
        
                    
             
        
        
        
Answer:
$100
Step-by-step explanation:
Every week Amanda adds $5 and every week Julia adds $14. So all you have ti do is add $5 to Amanda's account and $14 to Julia's account until you have the same amount of money for the both of them. 
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Let number of large pizzas be l and number of small be s.
<u>Then we have equations:</u>
- l + s = 100
- 16l + 11s = 1550
<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>
- 16(100 - s) + 11s = 1550
- 1600 - 16s + 11s = 1550
- 5s = 1600 - 1550
- 5s = 50
- s = 10
Number of small pizzas is 10