Question

If m and k are positive and 10m^2k^-1 = 100m, what is m^-1 in terms of k?

a. k/10
b. k/90
c. sqrt(k)/10
d. 1/10k
e. 1/90k

Answer 1

\[10m ^{2}k ^{-1} = 100m\]

Answer 2

dividing both sides by \(m^2\) gives you \(m^{-1}\) on right hand side

Answer 3

if that doesn't look obvious, how about solving the equation for \(m\) ?

Answer 4

divide by 100?

Answer 5

yeah but there is m on both sides right ?

Answer 6

yea

Answer 7

maybe divide \(m^2\) both sides and see what u get

Answer 8

\[\large \rm 10m ^{2}k ^{-1} = 100m\]

dividing \(\large \rm m^2\) both sides gives

\[\large \rm \dfrac{10m ^{2}k ^{-1}}{m^2} = \dfrac{100m}{m^2}\]

Answer 9

ok yea i was trying to type that ^

Answer 10

next divide 100 both sides so that m will be isolated all by itself

Answer 11

why divide?

Answer 12

becaule you want to isolate m, and since 100 is attached to m, you want to get rid of it

Answer 13

dividing 100 both sides kills the 100 on right hand side

Answer 14

\[\large \rm 10k ^{-1} = \dfrac{100}{m}\]


dividing 100 both sides you get
\[\large \rm \dfrac{10k ^{-1}}{100} = \dfrac{1}{m}\]

Answer 15

\[\large \rm \dfrac{k ^{-1}}{10} = \dfrac{1}{m}\]

Answer 16

which is equal to 1/10k right

Answer 17

Yep ! notice the right hand side is same as \(\large \rm m^{-1}\)

Answer 18

alrighty, thank you a lot. it started making sense once you started working it out. i felt stupid for not realizing it before i posted it