Answer:
D. One solution
Step-by-step explanation:
Simplify:
![6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2](https://tex.z-dn.net/?f=6-3x%20%3D%2012-6x%5C%5C-3x%2B6x%20%3D%2012-6%5C%5C3x%20%3D%206%5C%5Cx%20%3D%202)
There is only one solution (x=2) that satisfy the equation.
Answer:
c This is the direct variation
Step-by-step explanation:
The equation for direct variation is y= kx
Solving this for k
y/x =k
So y/x must be a constant
a. 9/3 =3
2/7 does not =3 so this is not a direct variation
b 1/2 = .5
-3/6 = -.5
This is not the same so this is not a direct variation
c. 27/9 =3
18/6 =3
9/3 =3
This is a direct variation with a constant of 3
d 5/-7 = -5/7
1/-3 = -1/3
This is not the same so this is not a direct variation
Answer:
5
Step-by-step explanation:
Answer:
![75\text{ miles, }28\text{ miles}](https://tex.z-dn.net/?f=75%5Ctext%7B%20miles%2C%20%7D28%5Ctext%7B%20miles%7D)
Step-by-step explanation:
GIVEN: Emma started biking to the coffee shop traveling
, after some time the bike got a flat so Emma walked the rest of the way, traveling
If the total trip to the coffee shop took
and it was
away.
TO FIND: how long did Emma travel at each speed.
SOLUTION:
Let the distance traveled by Emma through bike is ![\text{x}](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D)
Total time taken when traveled by bike ![=\frac{\text{x}}{15}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7Bx%7D%7D%7B15%7D)
Distance traveled through feet ![=103-\text{x}](https://tex.z-dn.net/?f=%3D103-%5Ctext%7Bx%7D)
Total time taken when traveled by feet ![=\frac{103-\text{x}}{7}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B103-%5Ctext%7Bx%7D%7D%7B7%7D)
Now,
Total time taken ![=9\text{hours}](https://tex.z-dn.net/?f=%3D9%5Ctext%7Bhours%7D)
![\frac{\text{x}}{15}+\frac{103-\text{x}}{7}=9](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bx%7D%7D%7B15%7D%2B%5Cfrac%7B103-%5Ctext%7Bx%7D%7D%7B7%7D%3D9)
![8\text{x}=600](https://tex.z-dn.net/?f=8%5Ctext%7Bx%7D%3D600)
![\text{x}=75](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%3D75)
Distance traveled through feet ![=103-75=28\text{miles}](https://tex.z-dn.net/?f=%3D103-75%3D28%5Ctext%7Bmiles%7D)
Hence distance traveled using bike is
and by feet is ![28\text{miles}](https://tex.z-dn.net/?f=28%5Ctext%7Bmiles%7D)