Answer:
A 7-pack of frozen waffles costs $4.80.
Step-by-step explanation:
What is the unit price, rounded to the nearest cent?
Answer:
360
Step-by-step explanation:
Here we are required to find ![_^{6}\textrm{P}_{4}](https://tex.z-dn.net/?f=_%5E%7B6%7D%5Ctextrm%7BP%7D_%7B4%7D)
It is a problem of Permutation and we must understand the formula for finding permutations.
The general formula for finding the permutation is given as below:
![_^{m}\textrm{P}_{n}=\frac{m!}{(m-n)!}](https://tex.z-dn.net/?f=_%5E%7Bm%7D%5Ctextrm%7BP%7D_%7Bn%7D%3D%5Cfrac%7Bm%21%7D%7B%28m-n%29%21%7D)
Hence
![_^{6}\textrm{P}_{4}=\frac{6!}{(6-4)!}](https://tex.z-dn.net/?f=_%5E%7B6%7D%5Ctextrm%7BP%7D_%7B4%7D%3D%5Cfrac%7B6%21%7D%7B%286-4%29%21%7D)
![_^{6}\textrm{P}_{4}=\frac{6!}{2!}](https://tex.z-dn.net/?f=_%5E%7B6%7D%5Ctextrm%7BP%7D_%7B4%7D%3D%5Cfrac%7B6%21%7D%7B2%21%7D)
Where
![m!=m\times(m-1)\times\(m-2)\times\cdot\cdot\cdot\codt\cdot3\times2\times1](https://tex.z-dn.net/?f=m%21%3Dm%5Ctimes%28m-1%29%5Ctimes%5C%28m-2%29%5Ctimes%5Ccdot%5Ccdot%5Ccdot%5Ccodt%5Ccdot3%5Ctimes2%5Ctimes1)
![6!=6\times5\times4\times3\times2\times1](https://tex.z-dn.net/?f=6%21%3D6%5Ctimes5%5Ctimes4%5Ctimes3%5Ctimes2%5Ctimes1)
![2!=2\times1](https://tex.z-dn.net/?f=2%21%3D2%5Ctimes1)
Hence
![_^{6}\textrm{P}_{4}=\frac{6\times5\times4\times3\times2\times1}{2\times1}](https://tex.z-dn.net/?f=_%5E%7B6%7D%5Ctextrm%7BP%7D_%7B4%7D%3D%5Cfrac%7B6%5Ctimes5%5Ctimes4%5Ctimes3%5Ctimes2%5Ctimes1%7D%7B2%5Ctimes1%7D)
![_^{6}\textrm{P}_{4}=6\times5\times4\times3](https://tex.z-dn.net/?f=_%5E%7B6%7D%5Ctextrm%7BP%7D_%7B4%7D%3D6%5Ctimes5%5Ctimes4%5Ctimes3)
![_^{6}\textrm{P}_{4}=360](https://tex.z-dn.net/?f=_%5E%7B6%7D%5Ctextrm%7BP%7D_%7B4%7D%3D360)
This equation has no solution where 'a' and 'b'
are both non-zero real numbers.
You said 2a + 2b = 2a
Subtract 2a from each side: 2b = 0
'b' must be zero.
And it doesn't matter what the value of 'a' is.
As long as b=0, 'a' can be any number.