A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate of 1/4 pounds per minute. Also, we open the spigot so that 1/2 gallons per minute leaves the bucket, and we add pure water to keep the bucket full. If the salt water solution is always well mixed, what is the amount of salt in the bucket after:
a. 1 minute?
b. 10 minutes?
c. 60 minutes?
d. 1000 minutes?
e. a very very long time?

Answers

Answer 1

Answer and explanation:

1. In one minute, there would be zero pounds of salt in the bucket because there's 0.25 pounds of salt in one minute and 0.5 gallons of water leaves the bucket in same minute, eliminating the 0.25 pounds of salt.

2. In ten minutes there would be zero pounds of salt because theres 0.25×10= 2.5 pounds of salt and 0.5×10=5 gallons of water would leave the bucket, eliminating the salt.

3. In 60 minutes there would still be zero salt because water leaves the bucket more than salt enters

4. Zero salt too after bucket leaks

5. Zero salt


Related Questions

3. (07.02 MC) What is the value of y in the equation 3(3y - 12) = 0? (5 points) 4 5 6 9​

Answers

3(3y-12)=0 divide both sides by 3

3y-12=0 add 12 to both sides

3y=12 divide both sides by 3

y=4

i really need help!!​

Answers

Answer:

#8. 2

#9. 7

#10. 2

#11. 2

#12. 0

#13. -4

#14. 17

#15. 1

Answer:#8=2

#9=-11

#10=8

#11=2

#12=0

#14=17

#15=1

Step-by-step explanation: #8-13 (Subtract the numbers using a number line, than add the numbers using a integer chips, after that calculate the sum of the differences) #14-15( normal solving stepping for integers(recommend using a T1-84 Calculator)

ILL GIVE BRAINLIEST AND 50 POINTS PLS help
A cell phone company charges $50 connection fee plus $20 per line. Jake must spend under $140 on his family’s cell phone bill. How many cell phone lines can his family have? Write the linear inequaulity that models this situation then solve the problem

Answers

Answer: 2

bc 50+20=70

140 divided by 70 is 2

Step-by-step explanation:

HELP ME PLEASE THIS IS LOCKING ME OUT IN 5 MINUTES

Answers

Answer:

Your answer is A

Step-by-step explanation:

The surface covered by a rectangular field is 375 square yards. The width of the field is 10 yards longer than its length. Using factors, determine the length and the width of the field

Answers

Answer:

L= 15

W= 25

Step-by-step explanation:

w(w-10) =375

w^2-10w-375=0

w=25 or -15

Length=25-10 =15

The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L and W be the length and width of the rectangle.

The area of the rectangular field is 375 square yards

W = 10 + L

As we know,

Area = LW

375 = L(10 + L)

375 = 10L + L²

L²+ 10L - 375 = 0

After solving the above quadratic equation:

L = 15 yards

L = -25 (length cannot be negative)

Plug L in the equation W = 10 + L to get the width of the rectangular field

W = 10 + 15

W = 25 yards

Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

X-9= -6
Please help me answer this question ASAP

Answers

Answer:

its 3

Step-by-step explanation:

Team A scored the following points per game 20,17,25,25,13,25,12,25,25 and 23 team B scored the following points per game 25,25,9,10,25,11,25,15,10 and 25 what is the mean of team A and team B

Answers

Answer:

Mean of team A = 21

Mean of team B = 18

Step-by-step explanation:

Formula:

Mean = Sum of values / Number of values

Calculations:

[tex]A = \frac{20+17+25+25+13+25+12+25+25+23}{10} = \frac{210}{10} = 21[/tex]

[tex]B = \frac{25+25+9+10+25+11+25+15+10+25}{10} =\frac{180}{10} =18[/tex]

Mean of team A = 21

Mean of team B = 18

Select the smaller of the two given numbers.
-​|19​|, -​|12​|

Answers

Answer:

-|12​|

Step-by-step explanation:

|19​| is 19, -|19​| is -19

|12​| is 12, -|12​| is -12

-12>-19

what is the slope of (-20,-3), (19,-15)

Answers

Answer:

m= - 4/13

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

Hopefully this helps :)

Which statement is true if a is the fourth root of 16, Show your work
a x a x a x a = 16
a = 164
4a = 16
a = 16/4

Answers

Given:

The statement is " a is the fourth root of 16".

To find:

The true statement for the given statement.

Solution:

The given statement is

a is the fourth root of 16.

Mathematically, it can be written as

[tex]a=\sqrt[4]{16}[/tex]

Taking power 4 on both sides.

[tex]a^4=(\sqrt[4]{16})^4[/tex]

[tex]a\times a\times a\times a=16[/tex]

Therefore, the correct option is A.

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

Important Information :

'a'  is the fourth root of 16

'a' is the fourth root of 16 can be written as

[tex]a=\sqrt[4]{16}[/tex]

To remove fourth root, we take exponent 4 on both sides

[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]

Exponent 4  and fourth root will get cancelled

[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]

a x a x a x a = 16

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

learn more about the radicals here:

brainly.com/question/1799883

Which expressions are polynomials? Select the two correct answers. (2 points)
ox-3+ ſo
3- +1
0-428
24 + 2y2 + 2 – w?

Answers

Answer:

Third and fourth

Step-by-step explanation:

Exponents can't be negative.

Worth 20 points

Please answer these all in a fraction form! :) <3 ily all have a AMAZING day.

1. 1/8 ÷ 3/4 = ?
2. 3/5 ÷ 3/2 = ?
3. 4/1 ÷ 2/3 = ?
4.9/4 ÷ 6/5 = ?
5.22/4 ÷ 2/5 = ?​

Answers

Answer:

1. 1/8 ÷ 3/4 = 1/6

2. 3/5 ÷ 3/2 = 2/5

3. 4/1 ÷ 2/3 = 6

4.9/4 ÷ 6/5 = 15/8

5.22/4 ÷ 2/5 = 261/80

Step-by-step explanation:

Hope this Helped

Can anyone help explain this my daughter is 7 does not understand it

Answers

it’s basically addition. in the first square , you put the number that adds with 426 to make 726. the second square you add 10 to the 726 and put the answer there. third square you put the number that adds with the answer in the second square to equal 741.

The tape diagram a way to model 5/8x11

Answers

Answer:

55/8

Step-by-step explanation:

here u gooo good luck

in the six grade 54% of the are boys. there are 189 boys in the sixth grade. what is the total number of the students in sixth grade

Answers

189 boys is 54%x is 46%(100-54)Cross multiply:189*46%=54%*x86.94=0.54xx=161189 boys 161 girls350 altogetherHope this helps plz hit the crown :D

Answer:

the total number of students in 6th grade would be 350

Step-by-step explanation:

I hope this helps! ^^

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what is :
2x + 10 = ?

Answers

Answer:

x = -5

Step-by-step explanation:

2x = -10

x = -10/2

x = -5

If is Factories so the answer is 2(x+5)

And if is not so the answer is 5

SPEED, DISTANCE AND TIME
please please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! emergency will give thanks


1) A cyclist travels a distance of 90 miles in 5 hours. What

was her average speed?

2) How far along a motorway would you travel if you drove at

70 mph for 4 hours?

3) I drive to Bude in Cornwall from Sheffield in about 6

hours. The distance from Sheffield to Bude is 315 miles.

What is my average speed?

4) The distance from Leeds to London is 210 miles. The train

travels at an average speed of 90 mph. If I catch the 9.30 am

train in London, at what time should I expect to arrive in

Leeds?

5) How long will an athlete take to run 2000 m at an average

speed of 4 metres per second?

6) The distance between Sheffield and Land’s End is 420

miles.

a) What is the average speed of a journey from Sheffield to

Land’s End that takes 8 hours 45 minutes?

b) If Sam covered the distance at an average speed of 63

mph, how long would it take him?

Answers

Answer:

1 --- The cyclist's average speed was 18 miles per hour.

2 --- I would travel 280 miles far.

3 --- Your average speed was 52.5 miles per hour.

4 --- You should expect to arrive in Leeds at 11:50 AM.

5 --- The athlete will run 2000 m in 8 minutes and 20 seconds.

6A --- The average speed of the journey is 48 miles per hour.

6B --- It will take him 6 hours and 40 minutes.

Step-by-step explanation:

1) 90 / 5 = 18

2) 70 x 4 = 280

3) 315 / 6 = 52.5

4) 210 / 90 = 2.3333

   0.333 = 0:20

   9:30 + 2:20 = 11:50

5) 2000 / 4 = 500

   500 / 60 = 8.3333

   0.3333 = 0:20

   8.3333 = 8:20

6A) 0:45 = 0.75

     420 / 8.75 = 48

6B) 420 / 63 = 6.666

      6.6666 = 6:40

PLZ ANSWER THESE QUESTIONS IF YOU KNOW ALGEBRA PLZ PLZ PLZ PLZZZZZZZZZZZZ I WILL GIVE BRAINLY AND ALL MY POINTS PLZZ HELP ME
I AM A YOU TUBER I WILL CHEAT IF I HAVE TO

Answers

Answer:

Algebra (from Arabic: الجبر‎ al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.

Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.

The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.

A mathematician who does research in algebra is called an algebraist.

What is the missing side length?

Answers

Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

Find the value of x.
F
8
E
Х
Н.
Х
-

Answers

Answer:

Step-by-step explanation:

x = 8

Which inequality is represented by the graph? 3 NI 5 6 4 OA. 21 - 5y 3​

Answers

Answer:

a

Step-by-step explanation:

2 The length of Rectangle A is 7x +11. The
length of Rectangle B is 15x - 9. Given the
two Rectangles are congruent, what is the
value of x?

Answers

Answer:

Step-by-step explanation:

If congruent the sides are equal

15x-9=7x+11

8x=20

x=20/8=2.5

what are the next 3 terms in this:O,T,T,F,F

Answers

Answer:

Step-by-step explanation:

S, S, E.

Come on, do I have to spell it out for you?  :)

A cylinder has a height h, and a radius (3h-2)

The area of the base is pi (3h-2)^2


The volume of the clinder is V= pi(3h-2)^2h


10. Multiply the polynomials to simplify the expression for the volume:

V=pi(3h-2)^2h by

Answers

Answer:

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Step-by-step explanation:

Given

Shape: Cylinder

[tex]Radius = 3h - 2[/tex]

[tex]Height = h[/tex]

[tex]Base\ Area = \pi (3h - 2)^2[/tex]

Required

Simplify the volume

The volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Substitute values for Base Area and Height

[tex]V= \pi(3h-2)^2*h[/tex]

Expand the bracket

[tex]V= \pi(3h-2)(3h-2)*h[/tex]

Open brackets

[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]

[tex]V= \pi (9h^2 -12h + 4) *h[/tex]

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]


Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77 and total payback of $4,596.96
Option B: 3 years at 4.7% interest with monthly payments of $125.31 and total payback of $4, 511.16
Which loan should Wilbert choose and how much will Wilbert save with that loan?

Answers

Answer:

85.8

Step-by-step explains

4596.96-4200=396.96

4511.16--4200=

396.96-311.16=85.8

so 85.8 and b

Hi, can someone help me?​

Answers

Answer:

No, no puedo ayudarte aunque te deseo buena suerte

Answer:

the price !!

Step-by-step explanation:

the price of donut holes depends on the number of them!! you cant tell the price without the donuts !!

a way to think of it could be "the price can't exist without the product (the donuts) so, the price dependent on the donuts. its the dependent!"

i really hope this helps!

a classroom is 30 feet wide the ceiling is 10 feet above the floor what is the volume​

Answers

Answer:

300 sqft

Step-by-step explanation:

30 times ten is 300 and the measure is feet squared

Answer:

9000 ft 3

Step-by-step explanation:

A person is walking at a rate of 9 feet every 4 seconds.
(a) Find their speed, i.e. the rate the distance

Answers

Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s[/tex]

So, the speed is 2.25 ft/s.

1) : 2x + 5y = 12 a. (1,?) b. (?, 1) C. (0,?) d. (?, 0)​

Answers

Answer:

A. y = 2

B. x = 7/2

C. y = 12/5

D. x = 6

Step-by-step explanation:

A. Determination of y .

2x + 5y = 12

x = 1

2(1) + 5y = 12

2 + 5y = 12

Collect like terms

5y = 12 – 2

5y = 10

Divide both side by 5

y = 10 / 5

y = 2

B. Determination of x

2x + 5y = 12

y = 1

2x + 5(1) = 12

2x + 5 = 12

Collect like terms

2x = 12 – 5

2x = 7

Divide both side by 2

x = 7/2

C. Determination of y

2x + 5y = 12

x = 0

2(0) + 5y = 12

0 + 5y = 12

5y = 12

Divide both side by 5

y = 12/5

D. Determination of x

2x + 5y = 12

y = 0

2x + 5(0) = 12

2x + 0 = 12

2x = 12

Divide both side by 2

x = 12/2

x = 6

solve and recieve brain list I took a better picture​

Answers

What did you say I’m confused lol
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