Answer: the cyclist must wait for 25 minutes until the hiker catches up.
Step-by-step explanation:
Distance = speed × time
The Cyclist was travelling in the same direction along the same path
as the hiker at a constant rate of 20 miles per hour. If the cyclist stops to wait for the hiker 5 minutes after passing her, then the distance that the cyclist travelled in 5 minutes(5/60 hour) is
20 × 5/60 = 100/60 miles
For the hiker to catch up with the cyclist, she would cover 100/60 miles at a speed of 4 miles per hour.
Time = distance/speed
Time required by hiker to catch up with the cyclist is
(100/60)/4 = 100/240 hour
Converting 100/240 hour to minutes, it becomes
100/240 × 60 = 25 minutes
<em>Answer:</em>
In Odette's solution, <u>7 is the number of </u>
<u>nickels</u> and 8 is the number of dimes
Answer:
Slope is -3
Step-by-step explanation:
rise over run
The rise is negative so it turns into a negative #
down 3 right 1
-3/1
= -3
Answer:
Option "B" as per the list of possible answers
Step-by-step explanation:
Notice that the parabola has a minimum at the point (2, 1), therefore first look at which of the options gives you 
. You would be able then the discard the last two functions listed (they render "-1" (not 1) for x = 2.
Now to decide between the first and the second option, notice that the first option has a negative coefficient (-0.2) multiplying the perfect square 
which means that the branches of such parabolic function would be pointing down. So you discard the first option, and now the only one left is the second option:
which you can check briefly by evaluating a couple of easy points (like what values you get for x = 0, and at x = 4, and confirm it is the correct option.
