Answer:
x < 15
Step-by-step explanation:
Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".
On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So: 
-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24
On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:
-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30
Now put these back in:
-6(x + 4) + 9 > -5(x + 6)
-6x - 24 + 9 > -5x - 30
-6x - 15 > -5x - 30
x < 15
Thus the answer is x < 15.
Hope this helps!
 
        
             
        
        
        
Answer:   Original salary = $500  
Step-by-step explanation:  Tricia got a 6% raise on her weekly salary. The 
raise was $30 per week.  
Let x be the original salary  
x times the raise percentage = raise amount  
6%= 6/100=0.06, raise amount = 30    
Now we solve for x  
Divide by 0.06 on both sides    
Original salary = $500
 
        
             
        
        
        
Answer:
22-3d=x
Step-by-step explanation:
where d is the days that it melts and the amount of snow x is the snow that is left.
 
        
             
        
        
        
Answer:
Zeroes : 1, 4 and -5.
Potential roots:  .
.
Step-by-step explanation:
The given equation is

It can be written as

Splitting the middle terms, we get



Splitting the middle terms, we get



Using zero product property, we get



Therefore, the zeroes of the equation are 1, 4 and -5.
According to rational root theorem, the potential root of the polynomial are

Constant = 20
Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.
Leading coefficient= 1
Factors of leading coefficient ±1.
Therefore, the potential root of the polynomial are  .
.
 
        
             
        
        
        
Total people in the cafeteria = 7 + 48 + 45 = 100
There are 45 boys.
 The probability would be the number of boys over the total number of people:
45/100, which simplifies to 9/20