WILL FAN AND MEDAL PLZZZZ HELP!! A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour? THE ANSWER HAS TO BE A FRACTION!

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WILL FAN AND MEDAL PLZZZZ HELP!! A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour? THE ANSWER HAS TO BE A FRACTION!

Mathematics
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Hold on.
\(\large { \begin{array}{ccllll} distance&hour \\\hline\\ \frac{1}{6}&\frac{3}{5}\\ x&1 \end{array}\implies \cfrac{\frac{1}{6}}{x}=\cfrac{\frac{3}{5}}{1}\impliedby \textit{solve for "x"} }\)
hint: cross-multiply
3/30? @jdoe0001
I'm afraid not.
so.. what did you get for the cross-multiplication?
so \(\bf \cfrac{\frac{1}{6}}{x}=\cfrac{\frac{3}{5}}{1} \\ \quad \\ \cfrac{1}{6}\cdot 1=\cfrac{3}{5}\cdot x\) there... what would that give you for "x"?
well... you may want to brush up your fraction multiplication first I'd think
What will the answer be? @jdoe0001 Is 3/30 wrong?
well.. is not that
ohh then I don't get it it's a little confusing? @jdoe0001
\(\bf \cfrac{\frac{1}{6}}{x}=\cfrac{\frac{3}{5}}{1} \implies \cfrac{1}{6}\cdot 1=\cfrac{3}{5}\cdot x \implies \cfrac{1}{6}=\cfrac{3}{5}x\implies \cfrac{1}{6}=\cfrac{3x}{5}\) if you cross-multiply that, and solve for "x".... what would that give?
??????? @jdoe0001 I don't remember learning that
hmmm wondering how are you meant to solve it then is a direct variation.. .thus why I set it up as a proportion
\[\frac{5}{18} \]
Is that right @robtobey
\[\frac{1}{6}=\frac{3 x}{5} \] Multiply each side by 5/3. The result will be that x has a cooeficient of "1", one.
ohhhhh thanks :) can u help me with one more problem? @robtobey
Ok. By the way, coefficient was misspelled in my posting above.
Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a 6% sales tax on the discounted price. What is the total amount Ellen will pay for the book?
Is the answer 16.22 that's what I got? @robtobey
Take 106% of the result of 85% times 18 for the total amount.
Is 16.22 wrong? @robtobey
That is what I calculated when the final calculation was rounded to the nearest cent. Some stores will probably always round up to the next cent.
So that mean its 16.218 your answer? @robtobey
16.218, not yet rounded, is what the Mathematica program delivered.
So what's the answer then? @robtobey
My guess is 16.22, which is 16.218 rounded to the nearest cent.
Okay I will put 16.22 but thanks for your time and help! :) @robtobey
Your welcome and thank you for the medal.

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