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Alinara [238K]
3 years ago
14

An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed f

rom the refinery to storage tanks located on the south bank of the river 7 km east of the refinery. The cost of laying pipe is $300,000 per km over land to a point P on the north bank and $600,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round the answer to two decimal places.)
Mathematics
1 answer:
anzhelika [568]3 years ago
7 0
Ummmm I’m not to sure let me see if I could figure it out
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How many gallons of pure water should be evaporated from 160 gallons of a solution containing 12% salt so that the remaining sol
algol [13]

Answer:  It is asking the amount of pure water.

Amount of  pure water evaporated is 64 gallons .

Step-by-step explanation:

Let x gallons  be the amount of evaporated water.

Amount of water before evaporation

      =12% of 160

      = 0.12(160) = 19.2 gallons .......(1)

amount of solution after x gallon water evaporation  = 160-x

amount of salt in 160-x  solution =   20% of 160-x

                                                     =0.2 (160-x) ........... (2)

Since amount of salt will be same before and after evaporation

  from (1 )  and (2)

0.2(160-x) = 19.2

32-0.2x = 19.2

  -0.2x = 19.2-32

 -0.2x = -12.8

       x = -12.8/(-0.2)

       x   = 64  gallons


                 



6 0
2 years ago
Read 2 more answers
HELP ME PLEASE<br> #'s 7,8,9
devlian [24]
You didn't show the examples so I can't really say anything

8 0
3 years ago
291.87 irrational or rational
aliina [53]
291.87 is rational since the last (decimal) numbers aren't repeating.
If it was repeating (291.877777...) it would be irrational.
4 0
3 years ago
Hi, I need an answer to this question pls. Louisa used Uber which charges $2 for the first mile and $1.10 for each additional mi
Vanyuwa [196]

Answer:

20 miles

Step-by-step explanation:

Let x = amount charge each mile

y = total price paid

Since the Uber charged $1.10 for each mile, we multiply x by 1.1 like this 1.1x

Also, $2 were already charged so we add 2 to the total price

y = 1.1x + 2

Since the Lyft charged $0.95 for each mile, we multiply x by 0.95 like this 0.95x

Also, $5 were arleady charged so we add 5 to the total price

y = 0.95x + 5

We have to find a price where both rides match

1.1x + 2 = 0.95x + 5

Let's move the like terms to one side by subtracting 0.95x from both sides

1.1x + 2 = 0.95x + 5

-0.95x   -0.95x

0.15x + 2 = 5

Now, subtract 2 from both sides

0.15x + 2 = 5

         - 2  - 2

0.15x = 3

Finally, divide both sides by the coefficient, 0.15, to isolate the variable, x

0.15x/0.15 = 3/0.15

x = 20

This means they traveled 20 miles if they were to pay the same price

7 0
3 years ago
20 points and Brainliest if answered and explained!
Rasek [7]
What you need to know for this case is that the sum of the internal angles of a triangle is 180 °
 We then have the following equation that is given by:
 (2x) + (3x) + (4x) = 180
 Clearing x we have:
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 x = 20
 Therefore we have:
 m∠A = (40) °
 m∠B = (60) °
 m∠C = (80) °
 Answer:
 B) m∠B = 60 °
6 0
3 years ago
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