1) So the ratio of Machine A to B is x + 16 : x (x being the paper printed in machine b).
2) This is in 4 minutes so every minute it will be 152.
2) So x + 16 + x = 152, or 2x + 16 = 152.
3) So to find x, we can subtract 16 from both sides. 2x = 136
4) Now we just divide both sides by 2 to get x = 68.
5) So machine A will be 68 + 16 = 84.
= 84
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Answer:
42
Step-by-step explanation:
In short, the sum of the opposite areas are equal.
x + 30 = 24 + 48
x = 42
To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.
If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:
a + b = x
b + c = 24
c + d = 30
a + d = 48
Adding the first and third equations:
a + b + c + d = x + 30
Adding the second and fourth equations:
a + b + c + d = 24 + 48
Therefore:
x + 30 = 24 + 48
x = 42
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Step-by-step explanation:
Answer:
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