The least common multiple of 5 and 8 is 40. This is because when you go by multiples of 5 and 8 the multiple that is the “smallest number” (LCM) of both numbers is 40. :)
Answer:
about 5.613 seconds
Step-by-step explanation:
Using the quadratic formula to find the value of t when h = 0, we have ...
at² +bt +c = 0
t = (-b±√(b²-4ac))/(2a)
t = (-72±√(72² -4(-16)(100)))/(2(-16))
t = (-72±√11584)/-32 = (9±√181)/4
Only the positive value of t is of interest.
The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.
THIS IS AN EXAMPLE:
Answer: Bradley scored 854 points and Harner scored 748 points.
Step-by-step explanation:
Start by representing the problem mathematically. "B" will represent Bradley's score, and "H" will represent Harner's score.
B+H=1602 represents that the sum of the scores is 1602.
B-H=106 represents that Bradley has 106 more points than Harner.
Now, combine the like terms in the two equations to get 2B=1708 . Now divide each side by two to find that Bradley scored 854 points.
Now, we can just subtract Bradley's score from the total score to get Harner's score. 1602-854=748, so Harner scored 748 points.
Answer:
g=-19+9
g=-10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello, please consider the following.

So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so
is divisible by 3
and we check what happens for k+1

is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that
is divisible by 3 for all positive integers n.
Thanks