Answer:
5 hamburger packages and 6 bun packages
Step-by-step explanation:
It is asking for the highest common multiple of 12 and 10. the first time a multiple of 12 is divisible by 10 is at 12x5, which is 60. now divide 60 by 12 and 10, 5 and 6.
 
        
             
        
        
        
Answer:
C
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
A
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Prove set equality by showing that for any element  ,
,  if and only if
 if and only if  .
.
Example:
 .
.
 .
.
 .
.
 .
.
 .
.
Step-by-step explanation:
Proof for ![[x \in (A \backslash (B \cap C))] \implies [x \in ((A \backslash B) \cup (A \backslash C))]](https://tex.z-dn.net/?f=%5Bx%20%5Cin%20%28A%20%5Cbackslash%20%28B%20%5Ccap%20C%29%29%5D%20%5Cimplies%20%5Bx%20%5Cin%20%28%28A%20%5Cbackslash%20B%29%20%5Ccup%20%28A%20%5Cbackslash%20C%29%29%5D) for any element
 for any element  :
:
Assume that  . Thus,
. Thus,  and
 and  .
. 
Since  , either
, either  or
 or  (or both.)
 (or both.)
- If  , then combined with , then combined with , , . .
- Similarly, if  , then combined with , then combined with , , . .
Thus, either  or
 or  (or both.)
 (or both.)
Therefore,  as required.
 as required.
Proof for ![[x \in ((A \backslash B) \cup (A \backslash C))] \implies [x \in (A \backslash (B \cap C))]](https://tex.z-dn.net/?f=%5Bx%20%5Cin%20%28%28A%20%5Cbackslash%20B%29%20%5Ccup%20%28A%20%5Cbackslash%20C%29%29%5D%20%5Cimplies%20%5Bx%20%5Cin%20%28A%20%5Cbackslash%20%28B%20%5Ccap%20C%29%29%5D) :
:
Assume that  . Thus, either
. Thus, either  or
 or  (or both.)
 (or both.)
- If  , then , then and and . Notice that . Notice that since the contrapositive of that statement, since the contrapositive of that statement, , is true. Therefore, , is true. Therefore, and thus and thus . .
- Otherwise, if  , then , then and and . Similarly, . Similarly, implies implies . Therefore, . Therefore, . .
Either way,  .
. 
Therefore,  implies
 implies  , as required.
, as required.
 
        
             
        
        
        
Hey there! :)
Answer:
C. BC = 39 units.
Step-by-step explanation:
Use the Pythagorean theorem to solve for BC. Let BC = c, AB = a, and AC = b.
c² = a² + b²
c² = 15² + 36²
Square and simplify:
c² = 225 + 1296
c² = 1521
c = √1521
c = 39 units.
Therefore:
BC = 39 units.