Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is positive. When oil is moving into the small tank, the flow rate is negative. The large tank begins with 600 gallons of oil. The flow rate is recorded as –4 gallons per minute. After a period of 32 minutes, how much oil has been moved and to which tank?

Answers

Answer 1

Flow is given as, F = - 4 gallon per minute into small tank.

( Since, flow is negative )

Volume of oil in large tank, V = 600 gallons.

Now,

Volume of oil has been moved :

[tex]v = F \times t\\\\v = -4 \ gallons/min \times\ 32\ min\\\\ v = -128\ gallons[/tex]

Therefore, 128 gallons of oil has been moved to small tank.

Hence, this is the required solution.

Answer 2

Answer:

128 gallons, into the small tank.  I think its the second option for the last box, not 100 percent sure but i did the question so yea :D

Step-by-step explanation:


Related Questions

For each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.

1. 5 and 17
2. -4 and 6
3. -0.5 and 0.5

Please hurry!!
Will award 30 points!!

Answers

Answer:

b) |y-11|=6

c) |z-1|=5

d) |a-0|=1/2

Step-by-step explanation:

This definetly works!

The absolute value equations are =

1) |x - 11| = 6

2) |x + 1| = 5

3) |x| = 0.5

1) To satisfy the solution set of 5 and 17 on a number line, we can write an absolute value equation as follows:

|x - 11| = 6

Explanation: The midpoint between 5 and 17 is 11, which serves as the value c in the equation.

The absolute value of x minus 11 should be equal to the distance between the midpoint and either endpoint, which is 6.

2) To satisfy the solution set of -4 and 6 on a number line, we can write an absolute value equation as follows:

|x + 1| = 5

Explanation: The midpoint between -4 and 6 is -1, which is the value c in the equation.

The absolute value of x plus 1 should be equal to the distance between the midpoint and either endpoint, which is 5.

3) To satisfy the solution set of -0.5 and 0.5 on a number line, we can write an absolute value equation as follows:

|x| = 0.5

Explanation: In this case, the midpoint between -0.5 and 0.5 is 0, which is the value c in the equation.

The absolute value of x should be equal to the distance between the midpoint and either endpoint, which is 0.5.

Learn more about number line, click;

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How big is the universe

Answers

Answer:

The universe has... No volume, No size, and no weight it's infinite in every way. something we humans sadly will never uncover.

Step-by-step explanation:

WILL GIVE BRAINIEST
50 POINTS!!
i am timed

What is the scale factor of this dilation?

Answers

Answer:

The scale factor of this dilation is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The length of AC is 8, which is given. Since AC' is the dilated side that corresponds to AC, and the length is 4, that means the scale factor of dilation from ABC to AB'C' is [tex]\frac{4}{8}[/tex] or [tex]\frac{1}{2}[/tex].

3.A city of 100,000 is having pollution problems and is decreasing in size 4% annually (every
year). Find the population of this city in 16 years.

Answers

Answer:

64,000

Step-by-step explanation:

4x100,000/100=4,000

4,000x16=64,000

Can you guys pls help me with this

Answers

Answer:

the answer is c

Step-by-step explanation:

not enough information

Answer:

Step-by-step explanation:

İt is SSS

Because

∡FBG=∡FBC

∡BFC=∡BFG

=> ∡BCF=∡BGF => SSS

4 kg of smell fresh washing powder costs 19 Pounds.

How much does 15 Kg cost? Give answer in pounds.

Answers

Answer:

71.25 pounds

Step-by-step explanation:

I'd put it all in a ratio first

So it would look something like this :

WP : P

4. : 19

1. : 4. 75. ( I just divided them both by 4 so wp is 1)

15. : 71. 25. ( I multiplied them by 15 )

Spontaneous generation is the idea that life can emerge from nonliving matter. Spontaneous
many in the scientific community up until the mid-nineteenth century. A series of simple experiments tested the validity of
this idea. Evidence used to
support spontaneous generation was the observation that foods over time became covered in maggots or fungal and
bacterial growth, implying that these just appeared." The inference behind spontaneous generation is that there is no
"parent" organism
In 1668, Francesco Redi proposed a different hypothesis to explain the specific example of maggots that appeared on spoiled
food. Explain how Redi disproved the idea of spontaneous generation and helped contribute to the idea that cells come from pre-
existing cells.
A)
B)
Redi reasoned that maggots appeared after meat spoiled, breaking down
the rotten meat
Redi reasoned that flies laid eggs on meat, so meat kept away from adult
flies would remain free of maggots
Redi reasoned that meat had to be exposed to air for maggots to appear.
Meat not exposed to air would remain free from maggots.
Redi reasoned that maggots emerged from condensation. As long as the
meat was kept from water sources, there would be no maggots.
09
D)

Answers

Answer:

Celss do come from pre existing cell.

Redi reasoned that flies laid eggs on meat, so meat kept away from adult

flies would remain free of maggots it is the example .

What contribution did Francesco Redi make to cell theory?

Redi went on to show that while live maggots or flies will reproduce when placed on decomposing flesh in a sealed jar, dead ones would not. This ruled out the existence of any necessary component in extinct organisms as well as the requirement of fresh air for the creation of life.

In a well controlled experiment, Francesco Redi demonstrated how living things are descended from other living things. The third tenet of the cell theory—that cells originate from other living cells—was developed as a result of this research and that of succeeding researchers.

The prehistoric beliefs were put to the test. Francesco Redi disputed the notion that maggots appeared out of thin air from rotting meat in 1668.

To learn more about  Francesco reddy refer to:

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What are the four main types of graphs and when would they be most appropriate to use?

Answers

Answer:

The four main types of graphs are line graphs, bar charts, pie charts, and histograms. They all can be used for many things

Which triangles are similar?
A. Triangles A and C
B. Triangles A, B, and C
C. Triangles B and C
D. Triangles A and B

Answers

Answer:

See below.

Step-by-step explanation:

They are all similar.

-hope it helps

Pls hurry, I need help! Solve the following question by factoring:

Answers

9x²+24x+20=4(3x)²+2(3x)(4)+20-4=4-4(3x)²+2(3x)(4)+16=0(3x)²+2(3x)(4)+4²=0(3x+4)²=03x+4=0x=-4/3

Answer:

[tex]\huge\boxed{\bf\:x = -\frac{4}{3}}[/tex]

Step-by-step explanation:

[tex]9x ^ { 2 } +24x+20=4[/tex]

Bring 4 to the left hand side of the equation .

[tex]9x^{2}+24x+20-4=0[/tex]

Subtract 4 from 20.

[tex]9x^{2}+24x+16=0[/tex]

Now, factorise it using the splitting-the-middle-term method .

[tex]9x^{2}+24x+16=0 \\9x^{2}+12x+12x+16 =0\\\left(9x^{2}+12x\right)+\left(12x+16\right)=0 \\3x\left(3x+4\right)+4\left(3x+4\right) =0\\\left(3x+4\right)\left(3x+4\right) = 0\\\left(3x+4\right)^{2} = 0[/tex]

Now since both the factors are the same, take one of them,

[tex]3x + 4 = 0\\3x = - 4\\\boxed{\bf\:x = -\frac{4}{3}}[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Which exponent is bigger x6 or x-3?

Answers

Answer:

6

Step-by-step explanation:

6 > -3

6 is a greater exponent than -3

Greatest to least 9,354 , 9,012 , 9,1 , 9,157

Answers

Answer:

9,354,9,157,9,012,9,1

Step-by-step explanation:

First I do thousands place so 3 numbers have 9 for thousands place.

Numbers are

9,354

9,157

9,012

it cant be 9,012 because this number don't have a hundreds place.

But in hundred place 9,354 would be better than 9,157 because 9,354 had 300 while 9,157 only has 100.

So greatest=9,354

Second greatest=9,157

And last 9,000 number third greatest=9,012.

Our last numbers don't have hundreds or thousands,they have ones but 9 is greater than 1 because...

Say you had 9 pizzas and your friend had 1 you would have more or a greater amount so.

Least=1

and second least=9

Meaning order=

9,356=greatest

9,157

9,012

9

1=least

Hope it helps have a great day:)

in 1990 there were about 5.4 billion people in the world. if the population has been growing at 1.95% per year, estimate the year when the population will be 8 billion people

Answers

Answer:

2011

Step-by-step explanation:

Here is the formula.

[tex]A=P(1+r)^{n}[/tex]

A = Final Value

P = Starting Value

R = Rate

N = Time in Years

A = 8,000,000,000

P = 5,400,000,000

R = 0.0195

N = Time in Years

Solve for n.

20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.

What is the value of x in the diagram below.
A.6
B.4.2
C.7
D.4

Answers

Answer:

x = 6

Step-by-step explanation:

Side NL is congruent to ML. Thus, making x = 6.

There were 8 judges at a gymnastics competition. Kathleen received these scores for her performance on the uneven parallel bars.

8.9, 8.7, 8.9, 9.2, 8.8, 8.2, 8.9, 8.8

a. Find the mean, median, and mode.

b. Which statistic reflects a typical score? Explain.

Answers

Answer:

below

Step-by-step explanation:

mean : 8.8

The mean is the average, so you find it by adding all the numbers together and dividing by n, or how many numbers there are. For this, I added to get 70.4 and divided that by 8 (8 total scores).

70.4/8 = 8.8.

median : 8.85

The median is the middle of the data set, so you put the numbers in increasing order (lowest number to highest number) and then finding the middle of that set. For this set, since there is an even number of numbers (8), you have to find the middle by adding the two middle numbers and dividing by 2.

8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2

The middle numbers are 8.8 and 8.9, so you add those together and divide by 2 to get 8.85.  

mode : 8.9

The mode is just what number appears most often. Because 8.9 appears three times in this data set, more than any other number, the mode is 8.9.

b. The mean reflects a typical score because it is the average, and is used most often when someone is expressing a typical or "average" score. It is the score most people are likely to get, and as there are no outliers in this data set, it reflects a typical score for this data set. It is also the same as the mode, or most often score, in this data set.

1) Put the numbers in order

      8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2

2) mean is average

     70.4/8 = 8.8

3) Median is the middle number; if m = 2, then divide them by 2

     17.7/2 = 8.85

4) Mode is most often

     8.9 (3 times)

brainliest for correct answer

Answers

The correct answer is:
B

The explanation is:
I looked it up and did some simple math.

(6 +4) x 8 =
find the answer

Answers

You do the brackets first (6+4) which is 10 and so you do 10 x 8 which is 80

find the missing length indicated
(help me find x)​

Answers

Answer:

48 units

Step-by-step explanation:

By geometric mean theorem:

[tex]x = \sqrt{64 \times 36} \\ \\ \implies \: x = 8 \times 6 \\ \\ \implies \: x = 48 \: units[/tex]

Question 2: Look at the students work and solution to the problem. Identify the error that is made and describe it. Solve the problem correctly. Incorrect work/solution Simplify the expression: 7k + 14 - 9k - 10 = 16k + 4 Identify and Explain the error

Answers

Answer:

-2k + 4

Step-by-step explanation:

Given:

Incorrect work / solution

7k + 14 - 9k - 10 = 16k + 4

Error is the simplification of the like terms, that is, 7k - 9k

Correct work / solution

7k + 14 - 9k - 10

Collect like terms

= 7k - 9k + 14 - 10

= -2k + 4

The error made was adding 7k and 9k together, instead of subtracting 9k from 7k which gives -2k as answer

When a cannonball is fired, the equation of its pathway can be modeled by h=-16t2 +128t. Find the maximum night of the cannon ball

Answers

Answer:

256

Step-by-step explanation:

When the equation is graphed the highest point is (4,256). So 256 is the maximum height of the cannon ball.

Which of these are examples of Security and Protective Services workplaces? Check all that apply. Banks ski areas courtrooms emergency vehicles beaches prisons offices traffic intersections.

Answers

Answer:

banks, ski areas, beaches,  offices, and traffic intersections

Step-by-step explanation:

i did the work

Answer:

A. Banks, B ski areas, E Beaches, G offices, H traffic intersections

Step-by-step explanation:

got it right on EDGE 2023

1. a number is as much greater than 21 as it is less than 71. find the number
.
2. find 2 consecutive natural number whose sum is 63.​

Answers

1. A number is as much greater than 21 as it is less than 71. Find the number

Solution -

Let the number be x.

x - 21 (number is as much greater than 21)71 - x (it is less than 71)

As both the value of x - 21 and 71 - x is same hence,

=> x - 21 = 71 - x

=> x + x = 71 + 21

=> 2x = 92

=> x = 92/2

=> x = 46

Hence, the number is 46.

2. Find 2 consecutive natural number whose sum is 63.

Let the two consecutive numbers be x and x + 1.

=> x + (x + 1) = 63 (A.T.Q)

=> x + x + 1 = 63

=> 2x = 63 - 1

=> 2x = 62

=> x =62/2

=> x = 31

Hence, the consecutive natural numbers whose sum is 63 are 31 and 32.

Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x).

Answers

..........................

.........

.....

....

A recipe calls for 3/4
cup of flour. How many cups of flour will you need to make 3 batches?

Answers

Answer:

The answer is 3. (2 1/4)

The fraction 3/4 multiplied by 3 = 9/4.

9/4 is also equivalent to 2 1/4.

the answer is 2 cups and 1/4 of flour

evaluate a+6 for a=10​

Answers

Answer:

a + 6 = 16

or

10 + 6 = 16

Hope this helps! Please mark Brainliest!

Answer: the answer is 16

Step-by-step explanation:  

Which event is most likely? drawing a heart randomly out of a pile of 10 hearts and 9 spades correctly choosing a random number between 1 and 50 choosing a girl randomly in a class of 8 boys and 17 girls choosing a boy randomly in a class of 10 boys and 15 girls

Answers

Answer:

3

Step-by-step explanation:

Find the value of x in the triangle shown below.

Answers

no it’s not 32 it’s going to be 74 because a triangle is 180 and when you subtract 32 it’s 148 and all you have to do is divide by 2!

100 POINTS!!!

What Form is 3x + 4y = 12 in?

A. Standard Form

B. Slope-Intercept Form

C. Point-Slope Form

D. General Form

Answers

Answer:  A. Standard Form

Standard form is Ax+By = C, where A,B,C are integers

solve for x using the Pythagorean Theorem.

Answers

17 is the answer did the math:)

The perimeter of a square is 16 inches. What is the length of each side

Answers

Step-by-step explanation:

4in + 4in +4in +4in because 4× 4 is 16 but since you are finding perimeter it is addition

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