Answer:
72 units³
Step-by-step explanation:
length = 12 units
height = 4 units
width = 3 units (8 - 5 = 3)
12 x 3 x 4 = 144
144 / 2 = 72
 
        
                    
             
        
        
        
Answer:
4
Step-by-step explanation:
Given
 , substitute the given values into the expression
 , substitute the given values into the expression
= 
= 
= 
= 4
 
        
                    
             
        
        
        
So,
#1: 

Convert to like improper fractions.

Add.

So, one solution could be 

.
Another solution could by 9.  There is also 10, 11, 12, etc., and all numbers in between.
#2: 

Convert into improper fraction form.

Multiply.

Cross-cancel, and we have our final result.

k < 96
96 is not a solution.
95 is a solution.
So is 94, 93, 92, etc, and all numbers in between.
 
        
        
        
Answer
103.333333333
Explanation 
Since 12oz of ale contains 124 calories, you have to divide 124 by 12 to find how many calories are in 1 oz of ale. then you multiply 10.33 by 10 to find how many calories are in a 10oz glass of ale.
        
                    
             
        
        
        
Answer:
141, meaning that there will be two real solutions
Step-by-step explanation:
The discriminant of a quadratic is  , which in this case is:
, which in this case is:

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.
Hope this helps!