The answer to your question is 30
        
             
        
        
        
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius 
h is height 
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches 
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 = 
Thus, the original volume is lesser than the new volume by 242.47 in³
 
        
             
        
        
        
X=(3+1+2)x h. X=the total cost
 H=how many kids on the math team
        
             
        
        
        
Answer:
Step-by-step explanation:
First, move the -11/4 to the other side, so the expression can equal 0.

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).
Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of  and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.
 and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.
 :      24x         11:
:      24x         11:
2x         22x          11
2x           2x            1 
            24x (works)
I'll then take the factors diagonal. (2x+1)(2x+11)=0
So 
 
        
             
        
        
        
Answer:4
Step-by-step explanation: multiply 2/3 by 6/1. You get 12/3 and simplify it is 4