Answer:
1/2.
Step-by-step explanation:
f(x) = (1/8)^x
when x = 1/3
f(x)  =  (1/8)^1/3
f(x) = ∛(1/8)
f(x) = 1 / ∛8
f(x) = 1/2.
 
        
             
        
        
        
Question:
A grocery store has 120 bottles of spring water in stock.  The store orders bottles of spring water in cases of 24.  The store wants to order enough cases of spring water so it has more than 500 bottles in stock.  Which inequality best models this situation?
A.  24x + 120 > 500
B.  24x - 120 > 500
C.  24x + 500 > 120
D.  24(x+120) > 500
Answer:
Option  A.  24x + 120 > 500  is the inequality that best models this situation.
Step-by-step explanation:
The Number of bottles of spring  water in the stock = 120
Each case of the spring water bottles contains 24 bottles
The store wants  to order enough cases of spring water so  that it has over 500 bottles in stock.
So there are already 120 bottles in stock .
The store will order
24x +120  > 500
where x  is the number of spring water bottle cases
 
        
             
        
        
        
Answer:
D
Step-by-step explanation:
 
        
             
        
        
        
Answer: 336g.
Step-by-step explanation:
the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.
Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):
7=m/48
to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.