Step-by-step explanation:
1 km = 1000 m
(hence the term "kilo" which means 1000).
so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.
now, we can see the solution already with our eyes.
but let's do it formally :
the rate or ratio between time and distance must be the same for the same speed. 
so,
3 min / 1000 m = x min / 500 m
500 m × 3 min / 1000 m = x min
1/2 × 3 min = x min
3/2 = 1.5 min = x min
so, it takes him 1.5 minutes (90 seconds) to run 500 m.
 
        
             
        
        
        
Hi, 
The volume of the cylinder is : 
V = π × r^2 × h
V = 3,142 × (2)^2 × 5
V = 62, 8319 cm^3
π : Pi => 3,142
r : radius of the cylinder (2 units).
h : height of the cylinder (5 units).
The base of the cylinder is a circle , so to calculate the area we have to use the formula : area = π × r^2. And to find the volume , we have to multiply the area by the height.
•It was nice to help you, Bellalocc!
 
        
             
        
        
        
Answer:
k > 7
Step-by-step explanation:
Given the inequality statement:  4k - (5 + 3k) > 2
Distribute -1 into (5 + 3k):
4k -5 - 3k > 2
Next,  add like terms:
k - 5 > 2
Add 5 to both sides of the inequality:
k - 5 + 5 > 2 + 5
k > 7
Please mark my answers as the Brainliest if you find my explanations helpful :)
 
        
                    
             
        
        
        
Answer:
1) S(t) = C(t) × D(t)
2) S(t) = (400 + 30t)(25 + t)
Step-by-step explanation:
The function C(t) = 400 + 30t ........... (1), models the number of classrooms, C. in the town of Sirap, t years from  now.  
The function D(t) = 25 + t ......... (2) models the number of students per classroom, D, t years from now.
Then if S(t) represents the number of students in Sirap's school system t years from now, then, we can write the relation  
1) S(t) = C(t) × D(t) (Answer)
2) Hence, the formula of S(t) in terms if t is given by  
S(t) = (400 + 30t)(25 + t) (Answer)
 
        
                    
             
        
        
        
Since, Frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month.
Now, we have to determine the amount of money still he has to save (y) in relation to the number of months (x) in which he has saved money.
Let 'y' be the amount of money he still have to svae.
Let 'x' be the number of months he has saved money.
Total money saved yet = $75  x= $75x
 x= $75x
He has to save $600 in total.
So, Money he still have to save = 600 - 75x
So, y=600-75x is the required equation.