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ValentinkaMS [17]
2 years ago
6

Which is a multiple of 15?

Mathematics
1 answer:
Stells [14]2 years ago
8 0
Ily I hope your having a good day lol
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If hose A fills a bucket in 45 minutes and hose B fills the same bucket in 30 minutes, how long will it take both hoses to fill
slamgirl [31]

Answer:

It should take around 15 minutes

Step-by-step explanation:

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3 years ago
If it took 4 hours to clean 8 houses, how many houses could be cleaned in 7 hours
Natasha2012 [34]

Answer:

14

Step-by-step explanation:

you clean 2 a hour so 7*2=14

4 0
3 years ago
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8x8x8=_______=_______​
zaharov [31]

Answer:

8*8*8= <em><u>8^3= 512</u></em>

Step-by-step explanation:

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3 years ago
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13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
Vlad [161]

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 \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

4 0
3 years ago
How do you subtract rational expressions without a common denominator?
zubka84 [21]
You would have to make common denominators
consider a/b,c/d in Q
then a/b - c/d = ad/db - cb/bd = (ad-cb)/db for all a,b,c,d in R, exclude b,d=0
i.e. 1/2 - 1/4
=4/8 - 2/8 =(4-2)/8=2/8 =1/4
4 0
3 years ago
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