3 years ago

How do I attach the diagram of my math problem?

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

3 0

You press the camera lens button on the bottom of the screen when uploading

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20,10,5, 2.5<br> What is the Common ratio

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Which number is irrational?<br><br> A.0.3 B. C.0.777... D.0.454545…

Savatey [412]

Each of A, C, and D are rational, so presumably B is the answer here.

A is rational, since $10\times0.3=3$ , so $0.3=\dfrac3{10}$ .

C is also rational. If $x=0.777\ldots$ , then $10x=7.777\ldots$ . This would mean $10x-x=9x=7$ , and so $x=\dfrac79$ .

D is rational by a similar argument. If $x=0.4545\ldots$ , then $100x=45.4545\ldots$ . So, $100x-x=99x=45$ , which means $x=\dfrac{45}{99}=\dfrac5{11}$ .