Answer:
500 lbs of mixed nuts
Step-by-step explanation:
15.4% of mixed nuts = 77 lbs of pecans
Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:
77 / 15.4 = 5,  so 5 lbs equals 1% of mixed nuts
Now multiply that number by 100 to get 100% of mixed nuts:
5 x 100 = 500
Therefore, there are 500 lbs of mixed nuts in a batch altogether.
To check, 15.4% = 15.4/100 = 0.514
Therefore, 15.4% of 500 = 0.514 x 500 = 77
Thereby proving that 15.4% of 500 is 77.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)    
the formula to calculate the distance between two points is equal to
 
substitute the values
 
 
 
 
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to

where
(h,k) is the center
r is the radius
we have

substitute


 
        
             
        
        
        
Answer:
photomath
Step-by-step explanation:
theres an app where you can take a pic of your problem and it would solve it for you,including fractions. I'm pretty sure it will simplify your answers too.The app is called photomath
 
        
             
        
        
        
Answer:
(2.5, 2.5)
Step-by-step explanation:
Coordinates of midpoint 
