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## anonymous one year ago 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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1. anonymous

@KEYS

2. anonymous

@jdoe0001

3. anonymous

ANYONE PLZ HELP ME?

4. Afrodiddle

Hold on.

5. anonymous

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

6. anonymous

hint: cross-multiply

7. anonymous

3/30? @jdoe0001

8. Afrodiddle

I'm afraid not.

9. anonymous

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

10. anonymous

3/30 @jdoe0001

11. anonymous

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"?

12. anonymous

Idk? @jdoe0001

13. anonymous

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

14. anonymous

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

15. anonymous

well.. is not that

16. anonymous

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

17. anonymous

$$\bf \cfrac{\frac{1}{6}}{x}=\cfrac{\frac{3}{5}}{1} \implies \cfrac{1}{6}\cdot 1=\cfrac{3}{5}\cdot x \implies \cfrac{1}{6}=\cfrac{3}{5}x\implies \cfrac{1}{6}=\cfrac{3x}{5}$$ if you cross-multiply that, and solve for "x".... what would that give?

18. anonymous

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

19. anonymous

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

20. anonymous

$\frac{5}{18}$

21. anonymous

Is that right @robtobey

22. 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.

23. anonymous

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

24. anonymous

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

25. 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?

26. anonymous

@robtobey

27. anonymous

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

28. anonymous

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

29. anonymous

Is 16.22 wrong? @robtobey

30. 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.

31. anonymous

So that mean its 16.218 your answer? @robtobey

32. anonymous

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

33. anonymous

So what's the answer then? @robtobey

34. anonymous

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

35. anonymous

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

36. anonymous

Your welcome and thank you for the medal.

37. anonymous

Np @robtobey

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