Answer:
1/6 p -4/5
Step-by-step explanation:
- 2/3p + 1/5 - 1 + 5/6p
When I combine like terms, I put them next to each other.
- 2/3p + 5/6p+ 1/5 - 1
We need to get a common denominator of 6 for the p terms
-2/3 *2/2 p + 5/6 p
-4/6p + 5/6 p
1/6 p
We need to get a common denominator of 5 for the contant terms
1/5 - 1*5/5
1/5-5/5
-4/5
Substituting these in
2/3p + 5/6p+ 1/5 - 1
1/6 p -4/5
Answer:
The equation: 2 + 1.75m < 35
Solution: m < 10
Shannon can travel 10 miles or less
Step-by-step explanation:
You add the initial $2 fee plus $1.75 per mile. Since she wants to pay less than 35, the inequality is 2 + 1.75m < 35.
Answer:
About 0.41 hours
Step-by-step explanation:
THe distance between Michael and Clara is 44 km.
We know D = RT,
Where
D is distance
R is rate (speed)
T is time
For Michael, we can write:
D = 47t
For Clara, we can write:
D = 61t
If we let michael's distance be x, Clara's distance would be 44 - x
So, we can say:
x = 47t
and
44 - x = 61t
Putting first equation into 2nd, we get:
44 - 47t = 61t
SOlving:
44 - 47t = 61t
44 = 61t + 47t
44 = 108t
t = 44/108 = 0.41 hours
The commute took 0.41 hours
