Answer:
300 dollars
Step-by-step explanation:
Let the original amount = x
x - 2/5x  was what his mother's share looked.
5/5 x - 2/5 x
3/5x is what is left.
3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers
3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15
3/5x * (1 - 1/4 - 2/3) = 15
3/5 x 5/60 = 15
15 / 300 * x = 15
1/20  x = 15
x = 15 * 20
x = 300
 
        
             
        
        
        
Quotient Rule. Objectives: In this tutorial, we derive the formula for finding the derivative of a quotient of two functions and apply this formula to several examples. After working through these materials, the student should be able to derive the quotient rule and apply it.
Visual
        
             
        
        
        
Answer:
Since b^2 -4ac = 256 we have 2 real distinct root roots
Step-by-step explanation:
4x^2+12x=7
We need to subtract 7 to get it in the proper form
4x^2+12x-7=7-7
4x^2+12x-7=0
The discriminant is b^2 -4ac
when the equation is ax^2 +bx+c
so a =4   b=12 and c=-7
(12)^2 - 4(4)(-7)
144 +112
256
If b^2 -4ac > 0 we have 2 real distinct roots
If b^2 -4ac = 0 we have one real root
If b^2 -4ac < 0 we have two complex root
Since b^2 -4ac = 256 we have 2 real distinct root roots
 
        
             
        
        
        
Answer:
4 containers * 2 tons = 8 tons total 
Step-by-step explanation: