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3 years ago

What is 3 2/5 minus 1 9/10

Mathematics

2 answers:

cestrela7 [59]3 years ago

5 0

$3\frac{2}{5}=3\frac{2\cdot2}{5\cdot2}=3\frac{4}{10}=3.4\\\\1\frac{9}{10}=1.9\\\\3\frac{2}{5}-1\frac{9}{10}=3.4-1.9=\boxed{1.5}$

ivanzaharov [21]3 years ago

3 0

The answer is 1 1/2 or 1 5/10

Here is my work if you don't understand, ASK!!

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If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)

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Then using the change of base formula, we can derive the relationship

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###

Another way to do this:

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$\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12$

Then

$abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}$

So we have

$\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}$

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