Answer:
I have a lead pencil and only 2 pieces of lead left. One is 5/6 inches long and the other is 1/3 inches long. How many times longer is the 5/6 then the 1/3?
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
a) The y-coordinates of points A and B are both -2, so there is no change in the y-value between those points. The x-coordinates differ by 4, so the slope is ...
... slope = (change in y)/(change in x) = 0/4 = 0
b) The y-value is constant at -2 for any value of x, so the equation of the line is ...
... y = -2
 
        
             
        
        
        
For this case, we must find the quotient of
 divided by
 divided by , to verify if Tina was correct.
, to verify if Tina was correct.
So:

So, Tina was wrong, she had to divide by 3x.
Answer:
Option B
 
        
             
        
        
        
Circumference of a circle is C = 2πr.
part 1)
so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.
what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

part 2)
since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.
now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?
 
 
        
        
        
Suppose you add x liters of pure water to the 10 L of 25% acid solution. The new solution's volume is x + 10 L. Each L of pure water contributes no acid, while the starting solution contains 2.5 L of acid. So in the new solution, you end up with a concentration of (2.5 L)/(x + 10 L), and you want this concentration to be 10%. So we have

and so you would need to add 15 L of pure water to get the desired concentration of acid.