Answer:

Step-by-step explanation:
we know that
The diagonal of a cube is equal to

where
b is the length of an edge of the cube
we have

substitute


 
        
             
        
        
        
Step-by-step explanation:
Let x = the number of years since the first year and let y = the total number of plants.
Roses: y = 5 + 2x
Tulips: y = 20 – 3x
You can use elimination to solve.
y = 5 + 2x
(-)y = 20 – 3x
 0 = -15 + 5x
15 = 5x
 3 = x
This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.
The graphs appear to
intersect at (3, 11) which verifies that x=3
 
        
                    
             
        
        
        
Answer:
It would take him 450 minutes to burn off the calories by sleeping
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
20 times 
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6) 
Required outcome / Total possible outcomes 
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls) 
= (1 / 3) × 60
= 60 / 3 
= 20 times