A tank is in the shape of a cube with edge lengths of 6 feet. Find the number of cubic feet of water needed to fill the tank. Then find the number of cubic yards of water needed to fill the tank.

Answers

Answer 1

Answer:

The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]

The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]

Step-by-step explanation:

Given

A tank is in the shape of a cube with edge lengths of 6 feet.

Step 1 of 2

The volume of a cube with edge length [tex]$e$[/tex] is given by:

[tex]V=e^{3}[/tex]

Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:

[tex]V=6^{3}[/tex]

[tex]V=216 \mathrm{ft}^{3}[/tex]

Step 2 of 2

The number of cubic yards of water needed to fill the tank is

[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]

[tex]=8 \mathrm{yd}^{3}[/tex]

Learn more about volume, refer :

https://brainly.com/question/898827


Related Questions

pls help help help please help​

Answers

Answer:

z

Step-by-step explanation:

please help!!!!!!!!!​

Answers

110 feet of fencing is needed to make four gardens

Answer:

110

Step-by-step explanation:

First, find the perimeter of 1 fence.

55/2 or [tex]27\frac{1}{2}[/tex]

Multiply by the number of fences (4)

110

I hope this helps!

in order to buy a $38 pair of shoes, you have to borrow $16 from your friend. How much money did you start with

A-$22
B$22
C$54
D-$54

Please Help​

Answers

Answer:

22 dollars

Step-by-step explanation:

38 - 16 = 22

if they cost 38 subtract the amount you borrowed(16) and you get what you started with(22)

Answer:

B 22

Step-by-step explanation:

You'll put x since you don't know how much the person started with then you do plus 16.

x+16=38

Subtract 16 both sides.

x=22

A person-to-person payment would best be used in which of these situations?
a. To give a donation to someone soliciting contributions outside the grocery store
b. To repay your uncle who covered the cost of your first semester textbooks
c. To buy some school supplies and baseball equipment while shopping online
d. To give a tip to the waitress at a diner

Answers

Answer:

B

Step-by-step explanation:

The correct answer is B. A person-to-person payment would best be used to repay my uncle who covered the cost of my first semester textbooks.

P2P payments are forms of economic interaction through mobile applications, in which people, almost always in person, decide to exchange funds among themselves using these applications.

In this way, a return of money between two parties with a family closeness is the perfect example in which the use of this payment method would be used.

Learn more in https://brainly.com/question/20370613

Please help me on my hw

Answers

Answer:

first answer is 21 and second answer is 1

Step-by-step explanation:

here the answer is yes

Answer:

Your questions have been solved

A number increased by 10 is 32. How would I write that as an equation?

Answers

Answer:

4.

Step-by-step explanation:

Remember that “of” means multiplication, so from your question we infer the following equation:

(1/2)x + 10 = 12

First, subtract 10 from both sides:

(1/2)x = 2

Multiply both sides by 2 to eliminate the fraction:

x = 4

Now substitute for x in the original equation to prove this:

(1/2)x + 10 = 12

x = 4

(1/2)4 + 10 = 12

4/2 + 10 = 12

2 + 10 = 12

12 = 12

So the number, x, is 4.

it is an example of your question.

please mark me brainliest

–5(–11)=?????????? please help me and answer it

Answers

Answer:

55

Step-by-step explanation:

-5 (- 11)

= 55

Answer:55

Step-by-step explanation:

Solve P = 2W + 2L for W.
W =

(Answer quickly)

Answers

Answer:

W = 0.5P - L

Step-by-step explanation:

P = 2W + 2L

P - 2L = 2W

0.5P - L = W

W = 0.5P - L

one half to the eight power in fraction form​

Answers

Answer:

1/16

Step-by-step explanation:

one half raised to the power of to eight = one sixteen

9. Which type of angle pairs are LSM and 2
10. Which angle forms a vertical pair with 1?

Answers

[tex] \large \mathfrak{Answer : }[/tex]

9. Angle LSM and Angle 2 are pair of vertical opposite angles which are equal.

10. Angle forming vertical pair with Angle 1 is Angle LSO (Angle 3).

data
a
Based on the histogram above, what is the frequency of the class containing the value 14

Answers

Answer:

The frequency of the class containing the value [tex]\[14\][/tex] is [tex]\[3\][/tex].

Step-by-step explanation:

Based on the histogram given the frequency from[tex]\[13\][/tex] to [tex]\[19\][/tex] is [tex]\[3\][/tex].

Thus,  frequency of the class containing the value [tex]\[14\][/tex] is [tex]\[3\][/tex].

Lean more about histogram-

https://brainly.com/question/17145899?referrer=searchResults

I NEED HELP ASP PLZ!!

Answers

Answer:

26 = c*2

2c = 26

The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations​

Answers

Answer:

270

Step-by-step explanation:

by using the proportion rule:

let X be the number of qualified teachers then

1:2=X=540 i.e.

1/2 =  X/540

by cross multiplication,

540x1=2xX

540=2X i.e.

X=540/2

X=270

There are 270 qualified teachers.

To solve this, we would apply the knowledge of proportion.

It is simply a way of stating that two ratios are of equal measure.

For example, [tex]a:b = x:y[/tex] or [tex]\frac{a}{b} = \frac{x}{y}[/tex]

Applying the following proportion rule given that:

Ratio of qualified teachers to unqualified teachers is 1:2.

Number of unqualified teachers = 540

Let number of qualified teachers be represented by x.

Therefore:

[tex]\frac{1}{2} = \frac{x}{540}[/tex]

Cross multiply

[tex]2x = 540(1)[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{540}{2} \\x = 270[/tex]

Therefore, the number of qualified teachers is 270.

Learn more about ratio here:

https://brainly.com/question/21768124

A corn refining company produces corn gluten
cattle feed at a variable cost of $82 per ton. If fixed costs are $120,000 per month and the feed sells for $134 per ton, how many tons must be sold each month for the company to have a monthly profit of $560,000?

With explaining pleaseee:)

Answers

The amount of tons that must be sold each month for the company to have a monthly profit is 13,076.923 tons per month

Let x represent the amount of tons sold each month

Hence,

560,000=134x-(82x+120,000)

Remove the bracket

560,000=134x-82x-120,000

560,000=52x-120,000

52x=560,000+120,000

52x=680,000

Divide both side by 52

x=680,000/52

x=13,076.923 tons per month

Inconclusion The amount of tons that must be sold each month for the company to have a monthly profit is 13,076.923 tons per month.

Learn more here:

https://brainly.com/question/15876381

Please I need help! I will give brainliest to whoever answers also. Thank you!

Answers

Answer:

The set U includes all positive integers from 1 to 20.

a)

x is subset U and 14 < x ≤ 23, then x is:

x = {15, 16, 17, 18, 19, 20}

b)

x is subset U and includes multiples of 4, so x is:

x = {4, 8, 12, 16, 20}

write a simplified expression


the 3 children in a family each paid $5 to enter a country fair , and then each child plays games at $1.50 per game. what expression represents the total amount in dollars the children spent all together

Answers

Answer:

$4.50

Step-by-step explanation:

1.5 x 3 = 4.50 Good job

Someone answer this please

Answers

Answer:

[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]

x/3 is the right answer.

9 Write three fractions that are equivalent to
30.2% using denominators of 1,000, 100,
and 10.

Answers

Answer:

[tex]\frac{3.02}{10}, \frac{30.2}{100}, \frac{302}{1000}[/tex]

Step-by-step explanation:

Each of those fractions equal 0.302 which if multiplied by 100 equals the percentage that you're looking for

Which polynomial can be factored using the binomial theorem?

x2 + 20x + 400
x2 + 45x + 225
x3 – 18x2 + 108x - 36
x3 + 21x2 + 147x + 343

Answers

Answer:

Step-by-step explanation:

I think the one you want is the last one, but I've never called it that.

21x^2 + 147x + x^3 + 343

x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)

21x(x + 7) + (x + 7)(x^2 - 7x + 49)

(x + 7) [ 21x - 7x + x^2 + 49)

(x + 7) [x^2 + 14x + 49]

(x + 7) ( x+7)^2

(x + 7)^3

It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.

Need Help!!!!!!!!!!!!!! Calculate the area of this figure. Round your answer to the nearest tenth.

Answers

[tex]\text{Area}=\dfrac{(\text{a}+\text{b})\cdot\text{h}}{2}\\\\\text{a}=10 \ \text{ft}+6 \ \text{ft}=16 \ \text{ft}\\\\\text{b}=10 \ \text{ft}\\\\\text{h}=8 \ \text{ft}\\\\\text{Area}=\dfrac{(16+10)\cdot8}{2}=\dfrac{26\cdot8}{2}=26\cdot4=\boxed{104 \ \text{ft}^2}[/tex]

I just need question c

Answers

Answer:

2060.63 m (2061 to the nearest metre).

Step-by-step explanation:

4065^2 = 3504^2 + x^2   where x is the horizontal change.

x^2 = 4065^2 - 3504^2

x^2 = 4246209

x = √(4246209)

= 2060.63 m.

What is -1 7/8 + -2 1/4? Please explain why and a step by step :).

Answers

9514 1404 393

Answer:

  -4 1/8

Step-by-step explanation:

Many people find it easier to factor out -1, then do the addition. The fractions need a common denominator before they can be added. A suitable denominator that is a multiple of both 4 and 8 is 8.

The fraction 1/4 = (1/4)(2/2) = (1·2)/(4·2) = 2/8.

__

So, the problem can be rewritten as ...

  -(1 7/8 +2 2/8)

  = -((1+2) +(7/8 +2/8))

  = -(3 +9/8)

The fraction 9/8 is an improper fraction equal to 8/8 +1/8 = 1 1/8. Then the sum is ...

  -(3 +1 1/8) = -4 1/8

Nolan and his children went into a grocery store and he bought $8 worth of apples
and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as
many bananas as apples. By following the steps below, determine the number of
apples, 2, and the number of bananas, y, that Nolan bought.

Answers

    To solve this problem form the system of equations first, then solve them to find the values of the variables.

  Nolan bought 2 apples and 10 bananas.

It's given that,

Nolan and his children bought fruits (Apples and bananas) worth $8.Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

               Therefore, Nolan bought 2 apples and 10 bananas.

Learn more,

https://brainly.com/question/14951851

I’m stuck on this question if someone could help me I would highly appreciate:)

Answers

Answer:

CA=20

SEE THE IMAGE FOR SOLUTION

The measure of angle 8 is
degrees
I
The measure of angle 2 is
degrees
The sum of angles 6 and 7 is
degrees
The sum of angles 3 and 5 is
degrees

Answers

Answer:

Angle 8=115 degrees

Angle 2= 65 degrees

Angle 6 + angle 7 = 65+65 = 130 degrees

Angle 3 + angle 5 = 180 degrees

Step-by-step explanation:

It this pattern a net for the three-dimensional figure?

Answers

Answer:

yes it is because the second triangle is the base and the other three triangles are the sides of the three dimensional shape

In AEFG, the measure of ZG=90°, GF = 12, FE = 37, and EG = 35. What ratio
represents the sine of ZF?

Answers

9514 1404 393

Answer:

  35/37

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(F) = EG/FE

  sin(F) = 35/37

The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance. If he correctly rounded to the nearest hundred

Answers

9514 1404 393

Answer:

  4983

Step-by-step explanation:

Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.

What is the value of x4y, when x = 16 and y = 2?

1/32
2
2 2/3
4

Answers

1/32

Step-by-step explanation:

I am not sure about it .

40 POINTS (2^8 * 3^-5 * 6^0)^-2 * (3^-2/2^3)^4 * 2^28

Answers

Answer:

This is an odd question, but plugging it into a calculator gets you 9.

Other Questions
How did the first and second continental Congress differ Solve for X Manoj gives me . Unique pen.[1 marks]aantheno article Plsssssssssssssssssssss help me fast what is 6y - (6 + 4y) = 26 ?? pls help 1. By how much did the three organisms investigated in this activity grow over the course often weeks when the average water temperature was 20C? (Save thegraphs of data to yourcomputer and paste them below to help answer this question.) tebak tebakanapa makanan favorit saya? Help Y:_,_ X:_,_ / Can someone explain For this discussion post, you will create a thread first and answer the followingdiscussion prompt in no less than 100 words (not 99 words; 100+ words). Refer to the Discussion Board Rubric for general guidelines forthe content of your post.Discussion prompt: When we read something, we are generally not with the personwho wrote it because writing is often produced for readers who will read what we've written at a later time and, perhaps, in a different location from the writer. Because of this, readers do not always have access to the writer to ask questions for clarification. Think about something as casual as a grocery shopping list; the list might be written by someone who uses abbreviations like "t.p."; does this mean toiletpaper or toothpaste? And which brand does the writer want? Since writers andreaders are often separated by time and space from one another, what sorts ofaspects must a writer need to consider when he/she is writing something? f(x)=x2g(x)=x3Find the composition of the two functions and show your process:f(g(x)) what is the range of this graph?pls help me and explainty 1. PY =82. XM =423. PM = MY4. MY = 8 Why did Britain end the period of Salutary Neglect? what what is the function of muscles tissue in point Order the following decimals from least to greatest (separated bycommas).0.33 0.83 0.2 0.57 0.5 2x = 504x + 3x = 1/6 + 45 = 1.60 * 45.47 = What is 11x(-6)?please answer i really need this! write a decimal equivalent to the fraction [tex]-\frac{7}{10}[/tex] please help i have no idea how to do this write a simple diary on your Saturday routine