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Georgia [21]
3 years ago
11

wastewater is filling barrels at the rate of 11 quarts per hour .the recycling facility picks up 120 full barrels on each trip ,

and each barrel holds 12 quarts of wastewater how many days are between each pickup?
Mathematics
2 answers:
labwork [276]3 years ago
7 0
11t=120(12)

11t=1440

t=1440/11

However t is in hours and we want to know days so:

d=(1440/11)/24

d=1440/264

d=60/11

d=5 5/11 days<span>is a mixed number 5+5/11 days. Approximately 5.45 days....</span>
Kisachek [45]3 years ago
6 0
Answer: 5.45 days 


I hope this helps and have a wonderful day!
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Answer:

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Step-by-step explanation:

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Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

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Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

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Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

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