Answer:
x
Step-by-step explanation:
The answer to
![\frac{4 {x}^{2} }{3} \times \frac{6}{8x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%7Bx%7D%5E%7B2%7D%20%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B8x%7D%20)
= x
Answer: ![x-0.20x+0.0725x](https://tex.z-dn.net/?f=x-0.20x%2B0.0725x)
Step-by-step explanation:
Let x be the price. 20% (0.20) 7.25% (0.0725)
![x-0.20x+0.0725x](https://tex.z-dn.net/?f=x-0.20x%2B0.0725x)
Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
Answer:
14
Step-by-step explanation: Multiply 56 by 75% then subtract your product from 56
Answer:
Advance tickets-$15
Same-day tickets-$20
Step-by-step explanation:
let x be the cost of advance tickets and y cost of same-day tickets:
![x+y=35\ \ \ \ \ \ \ ...i](https://tex.z-dn.net/?f=x%2By%3D35%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20...i)
Given that there were 40 advance and 25 same-day tickets for a total of $1100:
![40x+25y=1100\\\\8x+5y=220\ \ \ \ \ \ \ \ \ \ \ ...ii](https://tex.z-dn.net/?f=40x%2B25y%3D1100%5C%5C%5C%5C8x%2B5y%3D220%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20...ii)
#Make x the subject in i and substitute in ii:
![x=35-y\\\\\therefore 8x+5y=220, x=35-y\\\\8(35-y)+5y=220\\\\280-8y+5y=220\\\\60=3y\\\\y=20\\\\x=35-y=35-20=15](https://tex.z-dn.net/?f=x%3D35-y%5C%5C%5C%5C%5Ctherefore%208x%2B5y%3D220%2C%20x%3D35-y%5C%5C%5C%5C8%2835-y%29%2B5y%3D220%5C%5C%5C%5C280-8y%2B5y%3D220%5C%5C%5C%5C60%3D3y%5C%5C%5C%5Cy%3D20%5C%5C%5C%5Cx%3D35-y%3D35-20%3D15)
Hence, advance tickets cost $15 each while same-day tickets cost $20 each.