Answer:
Step-by-step explanation:
Let the number be 'x'
Reciprocal = 

Cross multiply
(x² + 1) *2 = 5*x
2x² + 2 = 5x
2x² - 5x + 2 =0
Factorize the equation,
Sum = -5
Product = 4
Factors = -1 , -4
2x² - x - 4x + 2 = 0
x(2x - 1) - 2(2x - 1) = 0
(2x -1 )(x - 2) = 0
2x - 1 = 0               ; x -2 = 0
     2x =1                ; x = 2
        x = 1/2
Number = 2 , and its reciprocal = 1/2
 
        
             
        
        
        
Answer:
Step-by-step explanation:
2/3 = 0.66
1 hour = 60
60 x 0.66 = 39.6 or 40  
In which, 60 - 40 = 20; so he only drinks 3 1/2 liters every 40 minutes.
He drinks 3 1/2 every hour.
 
        
             
        
        
        
The P right there you put = -3/7 after it
        
             
        
        
        
Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.


Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,


Therefore: 
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.
 
When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
 
        
             
        
        
        
Answer:
5.3-1.45=3.85
Step-by-step explanation:
she has 3.85 miles left to go because she already ran 1.45 and if you subtract that from the 5.3 you get 3.85 left to run.