13
good job. really excelling :)
For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

By definition of power properties we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

Answer:

For

,

, all the more

, therefore no solution.
For

, we have

. Obviously that' false.
For

both

and

, where

, belong to the range

, then

belong to the range

.
Those ranges don't have a common part, therefore, again, no solution.
So, the equation

doesn't have a solution.
Answer: Carolynn is faster.
Step-by-step explanation: Clarke makes 6.75 favors/hour, while Carolynn makes 7 favors/hour. (7 > 6.75)
The understanding one needs to work with percentages is:
1/100 = 1% = 0.01
Also
6/100 = 6% = 0.06
also
25/100=1/4=0.25=25%
To find a spesific share of a total, we can multiply the perectage with the total, like this: Total * 6% or in a way easier to work with: Total * 0.06 or (Total * 6)/100
If you have a calculator i would recommend using the decimals, as they are one of the easiest to type in - and remember once you get the hang of it.
To find the money Nina has saved, you do the following.
150*0.06=9$
Nina has saved 9 dollars.
The remaining percent she needs, is
100-6=94%
She still needs money for 94% of the bike.