To solve this problem, we are going to set up an equation. However, first we need to convert the percentages to decimals by dividing by 100.
15% = 0.15 , 7.5% = 0.075
Now, we should substitute in our given information into our equation and let our unknown value be equal to the variable x. 
0.15(500) = 0.075x
Then, we should simplify our equation by multiplying together the two factors on the left side of the equation. 
75 = 0.075x
Finally, we should divide both sides of the equation by 0.075 to get the variable x alone. 
x = 1000
Therefore, your answer is 1000.
Hope this helps!
 
        
                    
             
        
        
        
Answer:
The width of the rectangle is 56 and the length is 48
Step-by-step explanation:
divide the perimeter in half (52 + 52)
then subtract 4 from one of the 52's 
you get the answer of 56 and 48 
Your answer can be checked by conferming that 56 - 48 = 8 so the width of a rectangle is 8 inches longer than its length.
 
        
                    
             
        
        
        
Answer:
Belinda's score is 32 strokes.
Step-by-step explanation:
Let the score of John be "x" and Belinda be "y".
It is given that, in the game of golf, John's score was 10 less than two times Belinda's score.
Also, John's score is 54 strokes.
The above equation can be written as ;

Here, x = 54,



Thus, Belinda's score is 32 strokes. 
 
        
             
        
        
        
Answer:




Step-by-step explanation:
We have that:

When we substitute n=1, we get:

When we substitute n=2 we get:

When we substitute n=3, we get:

When we substitute n=n+1, we get:

Now 

We expand and simplify to obtain:

