Question

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!

Answer 1

@KEYS

Answer 2

@jdoe0001

Answer 3

ANYONE PLZ HELP ME?

Answer 4

Hold on.

Answer 5

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

Answer 6

hint: cross-multiply

Answer 7

3/30? @jdoe0001

Answer 8

I'm afraid not.

Answer 9

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

Answer 10

3/30 @jdoe0001

Answer 11

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"?

Answer 12

Idk? @jdoe0001

Answer 13

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

Answer 14

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

Answer 15

well.. is not that

Answer 16

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

Answer 17

\(\bf \cfrac{\frac{1}{6}}{x}=\cfrac{\frac{3}{5}}{1}
\implies
\cfrac{1}{6}\cdot 1=\cfrac{3}{5}\cdot x
\implies \cfrac{1}{6}=\cfrac{3}{5}x\implies \cfrac{1}{6}=\cfrac{3x}{5}\)

if you cross-multiply that, and solve for "x".... what would that give?

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

Is that right @robtobey

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

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?

Answer 26

@robtobey

Answer 27

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

Answer 28

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

Answer 29

Is 16.22 wrong? @robtobey

Answer 30

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.

Answer 31

So that mean its 16.218 your answer? @robtobey

Answer 32

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

Answer 33

So what's the answer then? @robtobey

Answer 34

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

Answer 35

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

Answer 36

Your welcome and thank you for the medal.

Answer 37

Np @robtobey