Answer:25 /77
Step-by-step explanation:
77 x - 8 = 17
Collect like terms
77 x = 17 + 8
x= 25 /77
 
        
                    
             
        
        
        
Answer:
-2.4 
Step-by-step explanation:
Let the unknown number be x. 
-3.7 = -1.3(1) + x
-3.7 = -1.3 + x
x - 1.3 = -3.7 
x = -3.7 + 1.3 
x = -2.4 
 
        
                    
             
        
        
        
Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
  
<u>Where</u>: 
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
  
<u>Where:</u>
n(a): is the number of teeth on the small gear = 12 teeth  
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
 
Now, the speed of the larger gear is:
 
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!                         
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:
We know the following:

so the segment EF is equal to

and here we can do a trick :)

you see it's the same

now we plug the values given

so it's option A