Answer:
14 gallons....$42
Step-by-step explanation:
The car requires one gallon every 32 miles...
The car requires c gallons for 448 miles
c = 448 × 1 / 32
= 14 gallons..
One gallon = $3
Fourteen gallons = ??
14 × 3 / 1 = $42
Answer:
![x=1.578](https://tex.z-dn.net/?f=x%3D1.578)
Step-by-step explanation:
Given equation is ![3-x = 3(6x-9)](https://tex.z-dn.net/?f=3-x%20%3D%203%286x-9%29)
We need to find the value of ![x](https://tex.z-dn.net/?f=x)
![3-x = 3(6x-9)](https://tex.z-dn.net/?f=3-x%20%3D%203%286x-9%29)
Distribute
in the right-hand side
![3-x=18x-27](https://tex.z-dn.net/?f=3-x%3D18x-27)
Add both sides ![x](https://tex.z-dn.net/?f=x)
![3-x+x=18x+x-27\\3=19x-27](https://tex.z-dn.net/?f=3-x%2Bx%3D18x%2Bx-27%5C%5C3%3D19x-27)
Now, add both sides ![27](https://tex.z-dn.net/?f=27)
![3+27=19x-27+27\\30=19x](https://tex.z-dn.net/?f=3%2B27%3D19x-27%2B27%5C%5C30%3D19x)
Divide both sides by ![19](https://tex.z-dn.net/?f=19)
![\frac{30}{19}=\frac{19x}{19}\\x=1.578](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B19%7D%3D%5Cfrac%7B19x%7D%7B19%7D%5C%5Cx%3D1.578)
So, ![x=1.578](https://tex.z-dn.net/?f=x%3D1.578)
1)
x+10<-7
bring 10 to the other side
x<-10-7
x<-17
2)
-3x-4>5
bring -4 to the other side
-3x>9
divide -3 at the other side, since it is negative it changes to less than
x<-3