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Mathematics 20 Online
OpenStudy (mathmath333):

quetsion

OpenStudy (mathmath333):

OpenStudy (mathmath333):

|dw:1455828939762:dw|

OpenStudy (welshfella):

V1= kw^2 for the largest piece after the breakage V2= k(0.6w)^2

OpenStudy (solomonzelman):

My best tackle on it.... The variation is: \(\color{#000000}{ \displaystyle {\rm V}=k {\rm W^2} }\) So, the weight of the value of the two pieces is: \(\color{#000000}{ \displaystyle k \left(\frac{3}{5}\right)^2+k \left(\frac{2}{5}\right)^2 = \frac{9k}{25}+\frac{4k}{25} = \frac{13k}{25} }\) When compared to \(\color{#000000}{ \displaystyle k \left(1\right)^2=k }\)

OpenStudy (solomonzelman):

So, you now only have 13/25's of the value. That is, you lose 12/25's (or 48/100's) of the value. So the percentage loss is not difficult.

OpenStudy (solomonzelman):

That third line should say: \(\rm So~the~value,~of~the~two~pieces~is\)

OpenStudy (mathmath333):

is the answer 52\(\%\)

OpenStudy (mathmath333):

is the answer 48%

OpenStudy (solomonzelman):

I assume that «percentage loss», means the percent (of the initial value) that is lost (from this initial value).

OpenStudy (mathmath333):

48 ?

OpenStudy (solomonzelman):

Yes, I believe so. % 48

OpenStudy (mathmath333):

(13-12)/25*100=48

OpenStudy (mathmath333):

(25-13)/25*100=48

OpenStudy (solomonzelman):

:)

OpenStudy (mathmath333):

HAHA

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