Total number = 30
1/5 of 30 = 1/5 x 30 = 6
The attached figures show the total number of filled
circles in five lines. Each line have “6” filled circles.
So 5 lines having 6 filled circles = 5 x 6 = 30
<span>Every line represents “1/5” of total amount “30”. Which
proved that 1/5 of 30 is equal to 6. </span>
 
        
                    
             
        
        
        
Answer:
y = -3x + 6
Step-by-step explanation:
Equation of straight line is given by,
y = mx + b
m = slope of the line 
b = y-intercept
From the graph attached,
m = 
    = 
    = -3
y intercept 'b' = 6
Therefore, equation of the line will be,
y = -3x + 6
 
        
             
        
        
        
The slope of a line is the difference between the x-line and the y-line. Rise/run
        
             
        
        
        
Answer:
Angular velocity:  (
 ( )
)
Linear velocity:  (
 ( )
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular ( ), in radians per second, and linear velocities (
), in radians per second, and linear velocities ( ), in inches per second, of a point on the outer edge of the element are, respectively:
), in inches per second, of a point on the outer edge of the element are, respectively:
 (1)
 (1)
 (2)
 (2)
Where:
 - Rotation rate, in revolutions per minute.
 - Rotation rate, in revolutions per minute. 
 - Radius of the gear, in inches.
 - Radius of the gear, in inches.
If we know that  and
 and  , then the linear and angular velocities of the gear are, respectively:
, then the linear and angular velocities of the gear are, respectively:

 (
 ( )
)

 (
 ( )
)