Answer:
C. 1.15<em>x</em> because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.
Step-by-step explanation:
This answer is correct because, adding 0.15x (or 15%) to the total amount is the same as multiplying the cost by 1.15. This is because, the 1 that is added to 0.15 represents the total, since we are just multiplying instead of adding to it.
Hope this helps! :D
Answer: There are 18 students in a van and 24 students in a bus.
Step-by-step explanation:
Let the number of students in the van be 'x' and the number of students in bus be 'y'.
Then, According to the question, we have the following system
![\text{[High School A ]}\ x+10y=258........................(1)\\\\\text{[High School B ]}\ 8x+5y=264........................................(2)\\](https://tex.z-dn.net/?f=%5Ctext%7B%5BHigh%20School%20A%20%5D%7D%5C%20x%2B10y%3D258........................%281%29%5C%5C%5C%5C%5Ctext%7B%5BHigh%20School%20B%20%5D%7D%5C%208x%2B5y%3D264........................................%282%29%5C%5C)
Multiply 2 to both the sides of equation (2), we get
![16x+10y=528.......................(3)](https://tex.z-dn.net/?f=16x%2B10y%3D528.......................%283%29)
Subtract equation (1) from equation (3), we get
![15x=270\\\Rightarrow\ x=\frac{270}{15}\\\Rightarrow\ x=18](https://tex.z-dn.net/?f=15x%3D270%5C%5C%5CRightarrow%5C%20x%3D%5Cfrac%7B270%7D%7B15%7D%5C%5C%5CRightarrow%5C%20x%3D18)
Substitute value of x in (1), we get
![18+10y=258\\\Rightarrow\ 10y=240\\\Rightarrow\ y=24](https://tex.z-dn.net/?f=18%2B10y%3D258%5C%5C%5CRightarrow%5C%2010y%3D240%5C%5C%5CRightarrow%5C%20y%3D24)
Hence, there are 18 students in a van and 24 students in a bus.
Answer:
![xm+nxy=14](https://tex.z-dn.net/?f=xm%2Bnxy%3D14)
Step-by-step explanation:
Given that x = 2, y = 3, m = 4 and n= 1.
Putting all the given values to get the value of xm+nxy.
So, the value of ![xm+nxy=2\times 4 + 1\times 2 \times 3=14](https://tex.z-dn.net/?f=xm%2Bnxy%3D2%5Ctimes%204%20%2B%201%5Ctimes%202%20%5Ctimes%203%3D14)
Hence,
.
Answer:
640x²-380x
Step-by-step explanation:
(4x]+4[(10x-6)(4x)]4x+(40x-24)(16x)
4x+640x²-384x
640x²-384x+4x
640x²-380x