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!

- anonymous

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- anonymous

@KEYS

- anonymous

@jdoe0001

- anonymous

ANYONE PLZ HELP ME?

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## More answers

- Afrodiddle

Hold on.

- jdoe0001

\(\large {
\begin{array}{ccllll}
distance&hour
\\\hline\\
\frac{1}{6}&\frac{3}{5}\\
x&1
\end{array}\implies \cfrac{\frac{1}{6}}{x}=\cfrac{\frac{3}{5}}{1}\impliedby \textit{solve for "x"}
}\)

- jdoe0001

hint: cross-multiply

- anonymous

3/30? @jdoe0001

- Afrodiddle

I'm afraid not.

- jdoe0001

so.. what did you get for the cross-multiplication?

- anonymous

3/30 @jdoe0001

- jdoe0001

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"?

- anonymous

Idk? @jdoe0001

- jdoe0001

well... you may want to brush up your fraction multiplication first I'd think

- anonymous

What will the answer be? @jdoe0001 Is 3/30 wrong?

- jdoe0001

well.. is not that

- anonymous

ohh then I don't get it it's a little confusing? @jdoe0001

- 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?

- anonymous

??????? @jdoe0001 I don't remember learning that

- jdoe0001

hmmm wondering how are you meant to solve it then
is a direct variation.. .thus why I set it up as a proportion

- anonymous

\[\frac{5}{18} \]

- anonymous

Is that right @robtobey

- anonymous

\[\frac{1}{6}=\frac{3 x}{5} \]
Multiply each side by 5/3. The result will be that x has a cooeficient of "1", one.

- anonymous

ohhhhh thanks :) can u help me with one more problem? @robtobey

- anonymous

Ok.
By the way, coefficient was misspelled in my posting above.

- anonymous

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?

- anonymous

@robtobey

- anonymous

Is the answer 16.22 that's what I got? @robtobey

- anonymous

Take 106% of the result of 85% times 18 for the total amount.

- anonymous

Is 16.22 wrong? @robtobey

- anonymous

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.

- anonymous

So that mean its 16.218 your answer? @robtobey

- anonymous

16.218, not yet rounded, is what the Mathematica program delivered.

- anonymous

So what's the answer then? @robtobey

- anonymous

My guess is 16.22, which is 16.218 rounded to the nearest cent.

- anonymous

Okay I will put 16.22 but thanks for your time and help! :) @robtobey

- anonymous

Your welcome and thank you for the medal.

- anonymous

Np @robtobey

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