Answer:
a: ![5\left(2p-7\right)](https://tex.z-dn.net/?f=5%5Cleft%282p-7%5Cright%29)
Step-by-step explanation:
![10p-35](https://tex.z-dn.net/?f=10p-35)
![5* \:2p-5* \:7](https://tex.z-dn.net/?f=5%2A%20%5C%3A2p-5%2A%20%5C%3A7)
![5\left(2p-7\right)](https://tex.z-dn.net/?f=5%5Cleft%282p-7%5Cright%29)
Answer:
a
Step-by-step explanation:
Answer:
![x=-1\text{ or }x=11](https://tex.z-dn.net/?f=x%3D-1%5Ctext%7B%20or%20%7Dx%3D11)
Step-by-step explanation:
For
, we have two cases:
![\begin{cases}a=b,\\a=-b\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Da%3Db%2C%5C%5Ca%3D-b%5Cend%7Bcases%7D)
Therefore, for
, we have the following cases:
![\begin{cases}18=15-3x,\\18=-(15-3x)\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D18%3D15-3x%2C%5C%5C18%3D-%2815-3x%29%5Cend%7Bcases%7D)
Solving, we have:
.
Therefore,
![\implies \boxed{x=-1\text{ or }x=11}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cboxed%7Bx%3D-1%5Ctext%7B%20or%20%7Dx%3D11%7D)
the radius: r^2 = 81
r =9
c = 2*pi*r
= 2 * pi * 9
= 18 *pi
Answer: 18*pi or approximately 56.62
Answer: 98.1%
Explanation:
A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.
For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.