whenever we have an amount to be divided in ratios, we simply divide the total amount by the sum of those ratios and then distribute accordingly. In this case, let's divide 77.40 by (1+3+5) and then distribute accordingly to each chap.
![\bf \stackrel{Paul}{1}~~:~~\stackrel{Colin}{3}~~:~~\stackrel{Brian}{5}~\hfill \cfrac{77.40}{1+3+5}\implies 8.6 \\\\\\ \stackrel{Paul}{1\cdot 8.6}~~:~~\stackrel{Colin}{3\cdot 8.6}~~:~~\stackrel{Brian}{5\cdot 8.6}\qquad \implies \qquad \stackrel{Paul}{8.6}~~:~~\stackrel{Colin}{25.8}~~:~~\stackrel{Brian}{43} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{Brian get this much more than Paul}}{43-8.6\implies 34.4}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7BPaul%7D%7B1%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%7D~%5Chfill%20%5Ccfrac%7B77.40%7D%7B1%2B3%2B5%7D%5Cimplies%208.6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7BPaul%7D%7B1%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%5Ccdot%208.6%7D%5Cqquad%20%5Cimplies%20%5Cqquad%20%5Cstackrel%7BPaul%7D%7B8.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B25.8%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B43%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7BBrian%20get%20this%20much%20more%20than%20Paul%7D%7D%7B43-8.6%5Cimplies%2034.4%7D~%5Chfill)
If the change in the number of pounds is p, the change in the cost will be $11c.
This is because each pound costs $11.
If |2w - 3| > 5
then
2w - 3 < - 5 or 2w - 3 > 5
2w < - 5 + 3 or 2w > 5 + 3
2w < - 2 or 2w > 8
w < -2/2 or w > 8/2
w < -1 or w > 4
So the solution set is
S = { x E R : w < -1 or w > 4}
or using the interval notation
S = (- infinity, -1) U (4, + infinity).
I hope this helps. =)
Answer:
b
Step-by-step explanation:
Answer: Three Dollars
Step-by-step explanation: The factors and prime factorization of 12 and 15. The biggest common factor number is the Greatest Common Factor number. So the greatest common factor 12 and 15 is 3.
If you think about it it is just greatest common factor.
the factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 15 are 1, 3, 5, 15
the highest number they have in common is 3
so the answer to your question is three.
