Hi! 
In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF. 
So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have. 
45: 1, 3, 5, 9, 15, and 45
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
It looks like the GCF is 9. Now we have to divide 45 and 72 by 9. 
45 ÷ 9 = 5
72 ÷ 9 = 8
So the correct answer should be:

Hope this helps :)
 
        
        
        
The answer it b your welcome
        
                    
             
        
        
        
Answer:
11.50 x 40 regular hours is $460
double time is 11.50 x 2 = $23 an hour
She makes $23 an hour for 8 hours = $184
$460 + $184 = $644 paycheck
 
        
             
        
        
        
Answer:
   13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
   d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
   dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
   dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
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The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
   d = √((15t)² + (45+5t)²)
 
        
             
        
        
        
Y = k/x where k is the constant of variation
y = 3 , x = 1.2 gives
3 = k/1.2
therefore 
k = 3*1.2 = 3.6
and the  required equation is 
y = 3.6 / x