Answer:
The competition took 12.5 minutes.
Step-by-step explanation:
Let the time taken by Achilles to complete the competition is h hours.
Now, Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.
So, the competition was 13h miles long.
Now, Turtle will take h hours to complete h miles of the competition.
Now, given that (13h - h) = 2.5
⇒ 12h = 2.5
⇒ h = 0.208 hours.
⇒ h = 12.5 minutes.
Therefore, the competition took 12.5 minutes. (Answer)
I dont quite know whits being asked, but the missing value is 30
24
We can divide the 8th graders into 4 groups. They are:
1. Like both math and science.
2. Like only math.
3. Like only science.
4. Don't like either math or science.
The sum of the people in all 4 groups will add up to 120. So let's see how many are in each group.
We've been given 23 as the number of people who like only math (group 2).
And since we know that 84 people like math, that means that 84 - 23 = 61 people are in group 1. And since we know that 73 people like science, that means that 73 - 61 = 12 are in group 3. So of the 4 groups, we now know.
1. Like both math and science (61 people).
2. Like only math (23 people).
3. Like only science (12 people).
4. Don't like either math or science (unknown).
So for the people left in group 4 (don't like either subject) that will be 120 - 61 - 23 - 12 = 24.
There are 500 even numbers from 1 to 1000 starting with 2 and ending with 998. The sequence of even numbers is an arithmetic sequence with a common difference of 2. Using the equation for the arithmetic series,
S = (a1 + an)(n/2)
and substituting,
S = (2 + 998)(500/2)
we get,
S = 250,000
Therefore, the sum of all even numbers between 1 and 1000 is 250,000.
Step-by-step explanation:
Check out the pic, if it doesn't help you can ask me whichever part you don’t understand
