Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
I got 65/153 since you actually multiply by the reciprocal of the second fraction.
Answer:
d = 10 m
Step-by-step explanation:
Given that,
tLauren is 6 meters straight behind Alexa and 8 meters directly left of Danielle. We need to find the distance between Alexa and Danielle. It can be calculated using Pythagoras theorem such that,
So, the distance between Alexa and Danielle is 10 m.
Answer:
i think you have to mark where the dog leashes go on the line plot based on their length?? for example, a 3 foot dog leash is on the <em>list</em>, so maybe you're supposed to put an X or something above the number 3 on the <em>line plot</em>? so sorry if this didn't help..
