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kodGreya [7K]
3 years ago
12

A bag contains both black and red marbles. The ratio of black to red marbles is 3:4.

Mathematics
1 answer:
sesenic [268]3 years ago
8 0

The total number of marbles in the bag is 7, since 3+4=7. There are 3:4 black marbles, so 3/7 of the bag is black marbles, which can be written as 3:7.

4/7 of the bag is red marbles, which can be written as 4:7

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Since 11√45 and 4√5 do not share a common radical, you cannot subtract them. By looking at the equation, you can see that 11√45 is not fully simplified yet by the 45 within the square root.
Breaking it up into squares, you can find that 3 x 3 x 5 = 45, which can be translated into 3<span>² x 5</span>. Since the 3 is a square component in the 45, you can now extract it. Extract the 3 by dividing it from the 45 within the square root and multiplying it into the 11.
Your result is a 33√5, which shares a common radical with 4√5. You can now subtract 33√5 and 4√5, which is 29√5.

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