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denpristay [2]
3 years ago
14

1/8 of Tony's books are mystery books he has three mystery books how many books does Tony have an all

Mathematics
1 answer:
seropon [69]3 years ago
6 0
1/8 of all=mystery
mystery=3

'of' means multiply
therefor
1/8 times all=3
multiply both sides by 8/1 to clear fracion
all=24


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The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$
Ksivusya [100]
Let <span>simplify the equations a^7xy-a^6y-a^5x=a^4(b^4-1) and (a^mx-a^n)(a^py-a^2)=a^4b^4:
</span>
<span>1) a^7xy-a^6y-a^5x+a^4=a^4b^4
</span>
<span>and
</span>
<span>2) a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4.
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<span>Equate the coefficients:
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</span><span>xy: m+p=7  \\ y: n+p=6 \\ x:  m+2=5 \\ 1: n+2=4.</span>
Then n=2 \\ p=4 \\ m=3 and mnp=24.
<span />
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