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How do you solve #\frac{0.1}{1.01} = \frac{1.9}{x}#?

Answer 1

Abigail Allen

By dividing by two, we obtain:

#0.1x# #=# #1.9(1.01)#

#0.1x# #=# #1.919#

dividing by 0.1 on each side:

#(0.1 x)/0.1# #=# #1.919/0.1#

#x = 19.19#

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Answer 2

Eva Adamson

To solve the equation (\frac{0.1}{1.01} = \frac{1.9}{x}), cross multiply to obtain (0.1x = 1.9 \times 1.01). Then divide both sides by 0.1 to isolate (x), yielding (x = \frac{1.9 \times 1.01}{0.1}). Calculate the numerator (1.9 \times 1.01 = 1.919), and divide by 0.1 to find (x = 19.19). Therefore, (x = 19.19).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.