A tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.07kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. Answer the following questions.

a. How much salt is in the tank after t minutes?
b. How much salt is in the tank after 4 hours?

Answers

Answer 1

Answer:

51.877 kg

Step-by-step explanation:

a

See attachment for calculations

b

The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have

t = 4 hours = 4 * 60 minutes = 240 minutes

y = 160/3 (1 - e^((-3 * 240)/200))

y = 160/3 (1 - e^(-720/200))

y = 160/3 (1 - 0.0273)

y = 160/3 (0.9727)

y = 51.877 kg

Therefore, the amount of salt in the tank after 4 hours is 51.877 kg

A Tank Contains 1000L Of Pure Water. Brine That Contains 0.02kg Of Salt Per Liter Enters The Tank At

Related Questions

Which graph represents the inequality ?

Answers

Answer:

if there is a pic i need to to help so since there is no pic i can not help

Step-by-step explanation:

Factor the expression using the GCF 42-12

Answers

6(7 - 2)
6(5)

Check:
7*6 = 42
2*6 = 12
42-12 = 30 = 6(5) :)

if f(x)= x/2-3 and g(x) = 2x^2+x-6, find (f+g)(x)

Answers

Answer:

2x² + 3x/2 - 9

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2 - 3 + 2x² + x - 6

= 2x² + x/2 + x -3 -6

= 2x² + 3x/2 - 9

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

Match the expressions given in words with their values when d= 3. Help

Answers

Answer:

3

4

0

2

Step-by-step explanation:

3

4

0

2

v= u + at, find v, when u = 12, a = 5 and t = 7

Answers

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

50 points!!!!!!!!!
Solve for x and y!!! Please help i will give crown!

Answers

Answer:

it is an iscoceles triangle..

so I think it should be 45 and 45

Please help........ thank you

Answers

Hi!

So, first, let's just form the equation:

We know that all the side lengths equal 12 cm.

So the equation will be:

5 + 3 + x = 12

The answer you put in the box is:

5 + 3 + x

To find the value of x, we just solve this equation:

5 + 3 + x = 12

Combine like terms:

8 + x = 12

Same to both sides:

x = 12 - 8

x = 4

I hope this helped, let me know if you have any questions.

The price of stock in a software company drops by $42.60 over a 16-day period. On average, how much does it drop per day?
$2.66
$0.37
$26.60

$2.60

Answers

I think it’s a (2.66)

Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and

Answers

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P.

Answers

Answer:

Parallelogram

Step-by-step explanation:

That dude above doesn't know what his talking about its parallelogram my teacher confirmed it too

The quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.

Quadrilateral

A quadrilateral is a polygon with four angles and four sides.

Given the vertices of quadrilateral MNOP at M(1, 1) N(3, 4) O(6, 6) P(4, 3). Plotting the points using geogebra,

We can see that the quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.

Find out more on Quadrilateral at: https://brainly.com/question/23935806

3(5y + 3) = 39
Please help
Me solve it

Answers

Answer:

2

Step-by-step explanation:

3(5y+3) = 39

15y+9 = 39

15y=30

y=2

jackie bought 15 cookies for $3 . How much will she have to pay for 35?

Answers

Step-by-step explanation:

15=3

35=x

15x=3×35

x= 3×35÷15

x=105÷15

x=7

Sarah lives in Ruthin and works in Oswestry for 5 days a week. each day she travel to and from work. Work how many miles does she commute a week​

Answers

Answer: 330 miles

Step-by-step explanation:

The distance provided for the question is:

Wrexham

18 Ruthin

21 12 Cornwen

15 33 23 Oswestry

What this means is that Ruthin and Oswestry are 33 miles apart.

Each day, Jane travels back and forth for a total of:

= 33 * 2

= 66 miles

In 5 days she would have travelled:

= 5 * 66

= 330 miles

2x-3y = -2
X + 24 = 15

Answers

Answer:

No

Step-by-step explanation:

2x-3y= 6xy

Identify the values of a,b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive integer value.
x^(2)=6(x-8)

A=
B=
C=

THANK YOU SO MUCH

Answers

Answer:

a=1

b= -6

c=48

Step-by-step explanation:

x^2=6(x-8)

x^2=6x-48

x^2-6x+48

a,b are the coefficients of x^2 and x

c is the constant value present

Therefore it is basically written as ax^2+bx+c

and comparing with the answer x^2-6x+48,

a=1, b= -6, c=48

Select the correct answer. What is the solution to the equation? ​

Answers

Answer:

I think there is no solution to this problem

Step-by-step explanation:

Answer:

c because 3x3 is 9 and 3 plus 9 is 12

Step-by-step explanation:

Solve the following inequality: |3x|>x+20

Answers

Answer:

x>10,x<−5

Step-by-step explanation:

[tex]x > - 5[/tex] or [tex]x < 10[/tex] are the two possible solutions to the given  inequality.

What are absolute value functions?

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

According to the given question.

We have an inequality |3x| > x + 20

Solve the above given inequality |3x| > x + 20

⇒ [tex]-(x + 20) < 3x < +( x + 20)[/tex]

⇒ [tex]-x -20 < 3x < x + 20[/tex]

⇒ [tex]3x > -x -20[/tex] or [tex]3x < x + 20[/tex]

⇒ [tex]3x+x > -20[/tex] or [tex]3x - x < 20[/tex]

⇒ [tex]4x > -20[/tex] or [tex]2x < 20[/tex]

⇒[tex]x > -5[/tex] or [tex]x < 10[/tex]

⇒ x ∈ (-∞, -5)∪(10,∞)

Hence, [tex]x > - 5[/tex] or [tex]x < 10[/tex] are the two possible solutions to the given  inequality.

Find out more information about absolute value inequalities here:

https://brainly.com/question/27517767

#SPJ2

Which of the following is a regular quadrilateral
A. rectangle
B. square
C. trapezium
D. kite ​

Answers

Answer:

(B) square

Step-by-step explanation:

Square (regular quadrilateral): all four sides are of equal length (equilateral), and all four angles are right angles.

Answer:

B) square is your answer.

Step-by-step explanation:

hope it's help you with write answers.

Percent of Discount
Sale Price
$120
80%

Answers

Answer:

$96

Step-by-step explanation:

Answer:

The final price after deducting the percent of discount would be $24.

$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?

Answers

Answer: About 3,811 US dollars.

Step-by-step explanation:

Divide 25,000 with 6.56. That equals about 3,811 US dollars.

hope this helps :)

Factor Method Lcm 20,25,30​

Answers

Answer:

The least common denominator for those three numbers would be 5.

Step-by-step explanation:

5x4=20

5x5=25

5x6=30

please help me thank you in advance!

Answers

Answer:

4x + 5y = 20

Step-by-step explanation:

It is parallel to y = -4/5x + 6

Ann's grade is the average of four scores: three chapter tests and a final
that counts as two chapter tests. She scored 72, 90, and 75 on the chapter
tests. What score does she need on the final to have a grade of at least 80?

Answers

Answer:

f = 81.5

Step-by-step explanation:

hello!

to be able to find the score she needs to have a final grade of at least 80, we use the following equation:

[tex]\frac{72+90+75+2f}{5}=80[/tex]

To get rid of the denominator, we multiply both sides of the equation by 5. Once we do, 5 gets canceled and 80 * 5 = 400. Therefore:

237 + 2f = 400.

Transpose, then simplify.

2f = 400 - 237

2f = 163

Divide both sides by 2 to isolate f:

f = 81.5

What is 5/6 plus 7/8?

Answers

Answer:

1  17/24

Step-by-step explanation:

Answer:

41/24 or 1 17/24

Step-by-step explanation:

Solve for the value of X in the parallelogram below. X = _____

Answers

Answer:

One of the properties of parallelograms is that opposite sides are congruent.  

Step-by-step explanation:

Answer:

x is equal to 1 and y is equal to 2

A girl is 6 years younger than her brother. The
product of their ages is 135. Find their ages.​

Answers

Okay to do this you will need to set up a simple equation and give out variables.
Girls age = x-6
Brother's age= *
the you will take those 2 and add them and place them equil to 135 like so:

x-6+x=135
2x-6+6=135+6
2x=141
2x/2=141/2
x=70.5
The brothers age would be 70.5 then and the girl's would be 64.5
Answer:Brother's age = 15Sister's age = 9

=============================================================

Work Shown:

x = brother's age, which is some positive whole number

x-6 = sister's age, since she is 6 years younger than her brother

The product is the result of multiplication, so we multiply x and (x-6) to get 135

x*(x-6) = 135

x^2-6x = 135

x^2-6x-135 = 0

Use the quadratic formula to solve from here

We plug in a = 1, b = -6, c = -135

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]

x represents the brother's age, in years. So x must be positive.

Since x must be positive, this means we rule out x = -9

The value x = 15 is the only practical solution.

If x = 15, then x-6 = 15-6 = 9

The brother is 15 years old and the sister is 9 years old.

The product of their ages is 15*9 = 135, which confirms the answers.

Suppose you are buying apples and bananas. The price of apples is $0.40 each and
the price of bananas is $0.25 each. Which equation models the number of apples and
bananas you can buy for $2?
a. 40x + 25y = 200
b. 40x – 25y = 2
C. 5x + 8y = 200
d. 5x + 8y = 2

Answers

Answer:

D

Step-by-step explanation:

find the value of x

Answers

Answer:

X=65.4 Degrees

Step-by-step explanation:

Hehe ;)

need help Math question

Answers

Answer:

n=20

Step-by-step explanation:

1/2n+6=16

1/2n=16-6

1/2n=10

n=10x2

n=20

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