Let a be the ticket:
So, plugging in our details:
a + (2 x 0.5a) = 35
2a = 35
a = 17.5 this is the price per each adult.
And through checking:
x + 3x = 35
4x = 35
x = 8.75
So for the first given:
1 adult + 2 children
17.5 + 17.5 = 35
So for the second given:
17.5 x 2 = 35
8.75 x 3 = 26
= 61, there is an excess of 1 dollar. Maybe there is a
discount if there are 3 children. By trial and error. It can be 8.30 x 3 = 24.9
or 25 + 35 = 60
We can divide both 35 and 100 to get 7 and 20, so A is equivalent to 7/20 instead of 7/30. A is the correct answer.
We have the following expression:
17 ^ (3/5)
We rewrite the expression.
We have then:
a ^ root (17 ^ b)
Where, for this case:
a = 5
b = 3
Substituting:
5 ^ root (17 ^ 3)
Answer:
the value of B is:
b = 3
Answer:
The passenger train is moving at 45 miles per hour
Step-by-step explanation:
Let the amount of time it took the two trains to travel the distance = t.
Since the two trains traveled the distance at the same time,
Rate of the passenger train =![\frac{180}{t}](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7Bt%7D)
Rate of the freight train = ![\frac{120}{t}](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7Bt%7D)
<em>Where t is in hours.</em>
From the problem, we can see that the rate of the freight train was 15 miles per hour slower than the rate of the passenger train. Mathematically, we can represent this as
![\frac{120}{t}= \frac{180}{t}-15](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7Bt%7D%3D%20%5Cfrac%7B180%7D%7Bt%7D-15)
from the above equation, we can now get our value for t as
![\frac{120-180}{t}=-15\\\frac{-60}{t}=-15\\t=4 hours](https://tex.z-dn.net/?f=%5Cfrac%7B120-180%7D%7Bt%7D%3D-15%5C%5C%5Cfrac%7B-60%7D%7Bt%7D%3D-15%5C%5Ct%3D4%20hours)
We have our time of travel for the two trains as 4 hours.
The rate of the passenger train can now be calculated by 180/4 = 45 miles per hour
Answer:
4.702 does not represent 4.701
Step-by-step explanation:
#teamtrees #WAP (Water And Plant)