Question

if q/r=3 and r/t=5 and t/u=7. what is the value of qu/t^2?

Answer 1

\[\frac{q}{r}=3 , \frac{r}{t}=5,\frac{t}{u}=7\]
\[\frac{u}{t}=\frac{1}{7}\]
so how could you combine all of this to get
\[\frac{qu}{t^2}\]

Answer 2

I'm still a bit confused. @completeidiot

Answer 3

ok what happens if you multiply
\[\frac{q}{r}*\frac{r}{t}\]?

Answer 4

qt=r^2

Answer 5

there was no equal sign

Answer 6

Oh right, careless mistake. qr/rt

Answer 7

and the r cancels out right?

Answer 8

yes
@completeidiot

Answer 9

so \[\frac{q}{t}=?\]
if
\[\frac{q}{r}=3, \frac{r}{t} = 5\]

Answer 10

Do I have to plug in numbers in order to find out?

Answer 11

no if we multiplied q/r by r/t
the answer is the same as multiplying 3 and 5

Answer 12

so q/t =?

Answer 13

15..? Sorry, it's still a bit unclear to me

Answer 14

3/5?

Answer 15

right
so now we know \[\frac{q}{t}=15\]

Answer 16

\[\frac{q}{r}=3\]
\[\frac{q}{r} *\frac{r}{t}=3*\frac{r}{t}\]
\[\frac{q}{t}=3*5\]

Answer 17

now that we have \[\frac{q}{t}\]
what can we multiply to this in order to get
\[\frac{qu}{t^2}\]?

Answer 18

t/u

Answer 19

note
\[\frac{q}{t}*\frac{u}{t}=\frac{qu}{t^2}\]

Answer 20

if we multiplied t/u to q/t, the t would cancel out and we would get q/u

Answer 21

Oh alright, but how do you find the value?

Answer 22

well we know
\[\frac{t}{u}=7\]
and we want \[\frac{u}{t}\]
so we find the reciprocal of t/u

\[\frac{1}{\frac{t}{u}}=\frac{u}{t}= \frac{1}{7}\]

Answer 23

since we have q/t and u/t
in order to get qu/t^2, we need to multiply them together

so you just multiply the values of q/t and u/t together to get your answer