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docker41 [41]
3 years ago
6

Carol had 2 pieces of paper. She gave each student in her class 1/4 of a piece of paper. If Carol gave away all her pieces of pa

per, to how many students did Carol give a piece of paper?
A:2
B:4
C:6
D:8
Mathematics
2 answers:
Serjik [45]3 years ago
7 0
Carol had 8 student (D). This is found by dividing the amount of paper (2) by how much each student gets(1/4). Therefore,\frac{2}{1} / \frac{1}{4} = 8
NeX [460]3 years ago
4 0
She gave her paper away to eight people because giving her paper pieces to four students ,equals one whole piece of paper, and she has two, so two times 4 equals 8.           
                         Answer:8
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Read 2 more answers
A tank initially contains 60 gallons of brine, with 30 pounds of salt in solution. Pure water runs into the tank at 3 gallons pe
adoni [48]

Answer:

the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.

Step-by-step explanation:

The variation of the concentration of salt can be expressed as:

\frac{dC}{dt}=Ci*Qi-Co*Qo

being

C1: the concentration of salt in the inflow

Qi: the flow entering the tank

C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)

Qo: the flow going out of the tank.

With no salt in the inflow (C1=0), the equation can be reduced to

\frac{dC}{dt}=-Co*Qo

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\frac{dC}{C}=-Qo*dt

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\int\frac{dC}{C}=\int-Qo*dt\\ln(\abs{C})+x1=-Qo*t+x2\\ln(\abs{C})=-Qo*t+x\\C=exp^{-Qo*t+x}

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

C(0)=exp^{-Qo*0+x}=0.5\\exp^{x} =0.5\\x=ln(0.5)=-0.693\\

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