Answer:
13.3 pages.
Step-by-step explanation: Hopefully this helped a lot !
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.
Answer:
900 cubic mm
Step-by-step explanation:
You find the volume of a pyramid by using base x height/3. Since the dimensions of the prism and pyramid ate the same, and prisms are just base x height, you multiply the pyramid's area by 3.
If it's asking for us to round both to the nearest whole number then divide:
35÷5 = 7 is the correct answer.
The surface area formula for a cube is 6*s^2. We have to work backwards to find out what "s" is, the side or edge of the cube. We know the surface area equals 200 square inches and we know the formula too, so let's use them. 6*s^2 = surface area. The problem tells us the surface area, 200 square inches.
So, we get 6*s^2 = 200. To find s, we have to get s^2 by itself. This means that we have to divide by 6 first. So, s^2 = 200/6. That's not going to be a pretty division problem but you would get s^2 = 33.333... Anyways, to find what s is, you have to square root 33.333.
After doing that, you get s = 5.7735 This is the length of the edge of this cube. Good luck!
