Answer:
work is shown and pictured
(7*4 + 14*1)/(7+14) = 42/21 = $2/ kg of mixture;
Answer:
A. one B. (3, 4)
Step-by-step explanation:
1. A good graph can answer both parts (see attached image).
2. Write equations for the two lines and find a simultaneous solution.
Line A: Slope from (2, 6) to (5, 0) is 
Using point-slope form 

Line B: Slopt from (6, 6) to (0, 2) is 
Using point-slope form, the equation for Line B is

To find the simultaneous solution, set the <em>y's </em>equal.

Find <em>y</em> using either equation to get y = 4.
Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.