Answer:
1/24
Step-by-step explanation:
(1/6) divided by 4
(1/6)/4
is the same as
1/(6*4) = 1/24
 
        
             
        
        
        
Answer:
$1.11
Step-by-step explanation:
Find the price per roll by dividing the cost by the number of rolls:
9.99/9
= 1.11
So, the price per roll of toilet paper is $1.11
 
        
                    
             
        
        
        
Answer:
Thus, the statement is False!
Step-by-step explanation:
When the domain of a function has an infinite number of values, the range may not always have an infinite number of values.
For example:
Considering a function 

Its domain is the set of all real numbers because it has an infinite number of possible domain values.
But, its range is a single number which is 5. Because the range of a constant function is a constant number.
Therefore, the statement ''When the domain of a function has an infinite number of values, the range always has an infinite number of values'' is FALSE.
Thus, the statement is False!
 
        
             
        
        
        
Answer:
-0.5 is not a solution
2 is a solution
Step-by-step explanation:
To check if something is a solution of the equation, you need to substitute the value in place of the variable
15 + 2y = -12 - 4y
15 + 2(-0.5) = -12 - 4(-0.5)
15 - 1 = -12 + 2
14 ≠ -10 ∴ -0.5 is not a solution
5 - 2(3x + 5) = 3 - 10x
5 - 2[3(2) + 5] = 3 - 10(2)
5 - 2(6 + 5) = 3 - 10(2)
5 - 12 - 10 = 3 - 120
-17 = -17 ∴ 2 is a solution
 
        
             
        
        
        
The volume of a rectangular prism is (length) x (width) x (height).
The volume of the big one is  (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.
The volume of the little one is  (0.25)x(0.25)x(0.25)= 0.015625 cubic inch 
The number of little ones needed to fill the big one is
             (Volume of the big one)  divided by (volume of the little one) .
       5.0625 / 0.015625  =  <em>324 tiny cubies</em>
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Doing it with fractions instead of decimals:
The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:
   2-1/4  =  9/4
   1-1/2  =  3/2
   1-1/2  =  3/2
   Volume = (9/4) x (3/2) x (3/2) = 
 
                 (9 x 3 x 3) / (4 x 2 x 2)  =
                           81 / 16  cubic inches.
          As a mixed number:    81/16  =  <em>5-1/16 cubic inches</em>
Volume of the tiny cubie = (1/4) x (1/4) x (1/4) =  1/64 cubic inch.    
The number of little ones needed to fill the big one is
             (Volume of the big one)  divided by (volume of the little one) .
                 (81/16) divided by (1/64)  =  
                     (81/16) times (64/1)  =  
                             5,184/16  =  <em>324 tiny cubies</em>.