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3 years ago

5

Lynne used 3 over 8 cup of flour and over 3 cup of sugar in a recipe.What number is a common denominator for 3 over 8 and 1 over

3

1 answer:

rusak2 [61]3 years ago

5 0

Answer: The common denominator for 3/8 and 1/3 is 24

Step-by-step explanation:

3/8 and 1/3 can be multiplied by each other in the numerator and denominator: 3/8(3/3) = 9/24 and 1/3(8/8) = 8/24

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Find the solution to the differential equation dx/dy+y/3=0 subject to the initial conditions y(0)=12.

ycow [4]

$\dfrac{\mathrm dx}{\mathrm dy}+\dfrac y3=0\iff\mathrm dx=-\dfrac y3\,\mathrm dy$
$\implies\displaystyle\int\mathrm dx=-\frac13\int\mathrm y\,dy$
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Given that $y(0)=12$ , we have

$0=-\dfrac16(12)^2+C\implies C=24$

So the particular solution to the initial value problem is

$x=-\dfrac16y^2+24\iff y^2=144-6x$

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