You find the GCF of 250 and 363 by factoring. 250 = 5^4 * 2. 363 = 3 * 11^2, and they have no common factors, so 250/363 is already in its simplest form!
        
             
        
        
        
The Area of the lawn is:
20m x 14m = 280m^2
The Area of the Circle is:
pi x 5^2 = 78.54
280 - 78.54 = 201.46m^2
        
                    
             
        
        
        
Answer:
Solution given:
f(x)=x²
g(x)=x+5
h(x)=4x-6
now
23:
(fog)(x)=f(g(x))=f(x+5)=(x+5)²=x²+10x+25
24:
(gof)(x)=g(f(x))=g(x²)=x²+5
25:
(foh)(x)=f(h(x))=f(4x-6)=(4x-6)²=16x²-48x+36
26:
(hof)(x)=h(f(x))=h(x²)=4x²-6
27;
(goh)(x)=g(h(x))=g(4x-6)=4x-6+5=4x-1
28:
(hog)(x)=h(g(x))=h(x+5)=4(x+5)-6=4x+20-6=4x-14
 
        
             
        
        
        
Answer:
The interest charged is $7.49. 
After 29 days, Travis paid a total of $607.49
Step-by-step explanation:
Travis obtained a cash advance for $600. 
The interest rate is 0.04305% per day. 
The simple interest rate formula is given by: 

Where <em>I</em> is the interest, <em>P</em> is the initial amount, <em>r</em> is the rate, and <em>t</em> is the time (in this case in days). 
Our initial amount <em>P</em> is $600. 
Our interest rate <em>r</em> is 0.04305% or (moving the decimal two places to the left) 0.0004305. 
Since Travis repaid the loan after 29 days, our <em>t</em> is 29. 
Hence, our interest is: 

So, the interest charged is about $7.49. 
So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49
 
        
                    
             
        
        
        
The answer is no solution
Step-by-step explanation:
The equation is  and
 and 
Subtracting these two equations, we get,

Thus,  is not possible.
 is not possible.
Hence, the system of equations have no solutions.