I need a picture to solve this problem...
Ray is 12 miles from home.
Let x be Ray's distance from home. His distance is one leg of a right triangle; 5, Rosa's distance from home, is the other. The hypotenuse, the distance between them, is 1 more than Ray's distance from home, or x+1. Using the Pythagorean theorem,
5²+x²=(x+1)²
25+x²=(x+1)(x+1)
Multiplying the binomials, we have
25+x²=x*x+1*x+1*x+1*1
25+x²=x²+1x+1x+1
25+x²=x²+2x+1
Subtracting x² from both sides,
25 = 2x+1
Subtracting 1 from both sides,
24 = 2x
Divide both sides by 2, and we have
12 = x
Ray is 12 miles from home.
$80-$2= $78 is the number less than $80, since the pens cost $2
78/2= 39 pens is the greatest number of pens sold
hope this helps
The student would have 8 $5 bills and 7 $1 bills because 5*8=40 and 7*1=7 and adding them together makes 47! Hope that helps!
