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
Answer:
Answer In Explanation
Step-by-step explanation:
O More Than Half Of The Students Scored 81 Or Better
O The Same Number Of Students Scored Between 81 And 90 On The Test As Scored Between 61 And 80
-The Last One Is Confusing Because It Doesn't Say 71-80
Hey there!
If we have two white marbles and seven purple marbles, our first probability is out of nine.
First of all, we have the probability of selecting a purple marble, 7/9.
Now, if we do not replace it, there are only eight marbles left. Therefore, getting a white marble is 2/8, or 1/4.
We multiply these probabilities together to get our answer to a.
7/9(1/4)= 7/36
a. 7/36
Now, let's do b. We have 2/9, and then 1/8, giving us 1/36.
b. 1/36
Now, let's calculate selecting two purple to help us with C.
We have 7/9, and then 6/8, or 3/4.
7/9(3/4)= 7/12
Since there is a majority of purple marbles, there is a C) greater probability of selecting two purple marbles in a row.
I hope this helps!
Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields
(2x+x)/2=489.....use inverse operations to yield
2x+x=978
Combine like terms to get
3x=978
Then divide by 3
To give you x=326
What does x tell you?
X= harry = 326
2x = Smith = 652
To check add them together and divide by 2 to get the average....489
Answer:
C. 17 + 17(0.07)
Step-by-step explanation:
Take the cost of the shirt and multiply it by 0.07 for the sales tax. Then add this number to the original cost for the new cost with the sales tax included.
