A rabbit can run short distances at a rate of 35miles per hour.a fox can run short distances at a rate of 21 miles per half hour
2 answers:
Since the fox's rate is based on half an hour and the rabbit's rate is based on a whole hour, you would need to create an equation that is spanned on the same amount of time.
To do this you would, simply, multiply the fox's rate by 2.
21 x 2 = 42
x 2 = 1
42 mi/1 h
A fox can run 7 miles per hour faster than a rabbit can.
I hope this helps!
To do this you would, simply, multiply the fox's rate by 2.
21 x 2 = 42
42 mi/1 h
A fox can run 7 miles per hour faster than a rabbit can.
I hope this helps!
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Answer:
[a,b] divides n
Step-by-step explanation:
Let us denote the least common multiple of a and b [a,b]=m.
We want to prove that m divides n, where n is a multiple of a and b.
We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:
(1) ... n=mq+r, where 0<r<m
As n is a multiple of a and b, there exists s and t integers such that:
sa=n and tb=n
Same thing happens to m as it is the least common multiple, there exists u and v such that:
ua=m and vb=m
So (1) has the following form:
n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and
n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r
So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.
So this means that is and integer.
As m= vb, then is an integer, lets say
=v; and as m=ua, then
=u.
So v=
=a, so
divides a; on the other hand,
u=
=b, so
divides b. From this we can conclude that
is a common divisor of a and b.