Answer:
The maximum number of miles they can travel is 6 miles.
Step-by-step explanation:
Because of the fix charge of $2, the amount of money left for the rest of the trip is $18. In order to find how many miles $18 cover when the cab charges $3 per hour, 18 is divided by 3. 18/3=6.
Answer:
5 divided by 10
Step-by-step explanation:
5 divided by 100 is 0.05 but as a fraction, it's 1/20
Answer:


Step-by-step explanation:
Given



Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)

Collect like terms


Make P(A) the subject

--- (2)


Substitute: 
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket

Represent P(B) with x

Rewrite as:

Expand

Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split

Solve for x

Recall that:

So, we have:

Recall that:

So, we have:


Since:

Then:


Answer:
80 minutes
Step-by-step explanation:
We can solve this problem using rule of three:
The ratio of number of minutes and number of miles is 24 to 3, that is, for each 24 minutes running, she runs 3 miles.
So, if to run 3 miles she needs 24 minutes, to run 10 miles, how much time she will need:
3 miles -> 24 minutes
10 miles -> X minutes
3/10 = 24/X
X = 10 * 24 / 3 = 80 minutes.
She will take 80 minutes to run 10 miles.