J, P, and L can each eat ice cream at respective rates of
in gallons of ice cream per hour (gal/hr).
We're given that
![\dfrac1j+\dfrac1p=\dfrac12](https://tex.z-dn.net/?f=%5Cdfrac1j%2B%5Cdfrac1p%3D%5Cdfrac12)
![\dfrac1p+\dfrac1\ell=\dfrac13](https://tex.z-dn.net/?f=%5Cdfrac1p%2B%5Cdfrac1%5Cell%3D%5Cdfrac13)
![\dfrac1j+\dfrac1p+\dfrac1\ell=1](https://tex.z-dn.net/?f=%5Cdfrac1j%2B%5Cdfrac1p%2B%5Cdfrac1%5Cell%3D1)
We want to find
. Subtracting the second equation from the third gives
![\left(\dfrac1j+\dfrac1p+\dfrac1\ell\right)-\left(\dfrac1p+\dfrac1\ell\right)=1-\dfrac13](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac1j%2B%5Cdfrac1p%2B%5Cdfrac1%5Cell%5Cright%29-%5Cleft%28%5Cdfrac1p%2B%5Cdfrac1%5Cell%5Cright%29%3D1-%5Cdfrac13)
![\implies\dfrac1j=\dfrac23](https://tex.z-dn.net/?f=%5Cimplies%5Cdfrac1j%3D%5Cdfrac23)
so J can eat 2 gallons of ice cream in 3 hours, or 2/3 of a gallon per hour, so that it would take her 3/2 hours, or 1.5 hours, to eat 1 gallon on her own.
Red beads = 1 - (4/9 + 1/5 + 1/4) = 1 - 161/180 = 19/180
50 is the initial value, it is the start of a population of rabbits that increases exponentially over time.
the value at t=0 is a starting point or in this case the starting population. The rest of the chart is the increase in population per year.
<span>–|x| = –8?
</span><span> –x = –8
x = 8
</span>–(–x) = –8
x = –8
answers
x = 8 and x = –8