Answer:
x=3.5
Step-by-step explanation:
Let X = the 29% alloy and Y = the 60% alloy.
They want a total of 80kg, so you have X +Y = 80
Rewrite that to get X = 80-Y
You also want 0.20X + 0.60Y = 0.52(80)
Replace X with 80-y:
0.20(80-y) + 0.60y = 0.52(80)
Simplify:
16 - 0.20y + 0.60y = 41.6
Combine like terms:
16 +0.40y = 41.6
Subtract 16 from each side:
0.40y = 25.6
Divide both sides by 0.40
y = 25.6 / 0.40
y = 64
Now you have Y replace y with 80 in X = 80-Y
X = 80 - 64
X = 16
They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.
Diameter is 2r, or 18.8 ft
Circumference is 2*pi*r, or 59.1 ft
Area of a rectangle is L * W
L = x
W = 5
5x = 20 (Divide by 5 on both sides)
x = 4
L=4
W= 5
The length is 4cm
Hope this helps :)
