The length of each edge of a cube is x centimeters. If x is an integer, why is the volume of the cube not equal to 15m^3?

Answers

Answer 1

Suppose the length of each side of the cube is x, so the volume must be:  

x^3.  

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

Answer 2

Final answer:

The volume of a cube with integer edge lengths must be a perfect cube of an integer, and since 15,000,000 (15m^3) is not a perfect cube, the cube's volume cannot be 15m^3.

Explanation:

The volume of a cube is calculated by cubing the edge length, which means multiplying the length of an edge by itself three times (x3). If the length of each edge of a cube is x centimeters and x is an integer, the volume in cubic centimeters will also be an integer because the cube of any integer is an integer. Since the question specifies a volume of 15m3, which is 15,000,000 cm3 (because 1m3 equals 1,000,000 cm3), and 15,000,000 is not a perfect cube of any integer, the edge length x cannot be an integer, thus the volume of the cube cannot be 15m3.


Related Questions

8982 divided by 28 esamation

Answers

8982 divided by 28 equals 320.7857142857
I didn't know what it needed to be rounded to so theres what I got :)
Final answer:

To divide 8982 by 28, perform the division operation and the result is approximately 320.79.

Explanation:

To find the answer to 8982 divided by 28, you can perform simple division. Here's how:

First, take the number 8982. This is your dividend. Next, you divide this by 28. This latter number is your divisor. Perform the division operation. If using a calculator, simply enter 8982, press the division key, enter 28, and then press the equals key.

The result of the division is 320.7857142857143. You can round this to 320.79 for easy representation.

Learn more about Division here:

https://brainly.com/question/2273245

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Ann’s car used 7 gallons of gas during a trip how far did Ann drive

Answers

i think its 48 miles

81x-27, apply the distributive property to factor our of the greatest common factor

Answers

The greatest common factor of the expression 81x - 27 is;

⇒ 27 (3x - 1)

What is Greatest common factors?

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

The expression is;

⇒ 81x - 27

Now,

Solve the expression for the greatest common factor as;

Since, The greatest common factor of the numbers 81 and 27 = 27

So, We take common 27 as;

⇒ 81x - 27

= 3 × 3 × 3 × 3x - 3 × 3 × 3

= 3 × 3 × 3 (3x - 1)

= 27 (3x - 1)

Thus, The greatest common factor of the expression 81x - 27 is;

⇒ 27 (3x - 1)

Learn more about the greatest common factor visit:

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if (3,n) is a solution of Ax+3y=6 and (n,5) is a solution of 5x+y=20,what is the value of A?

Answers

We have 3A + 3n = 6 and 5n + 5 = 20;

Then, 5n = 15;

n = 3;

Finally, 3A + 9 = 6;

3A = -3;

A = -1;

4. Solve the following inequality: 3y-1 less than 3

Answers

3y - 1 < 3


Isolate the y. Treat the less than or equal like an equal sign.

Do the opposite of PEMDAS. First, add 1 to both sides

3y - 1 (+1) < 3 (+1)

3y < 4

Next, divide 3 from both sides

3y/3 < 4/3

y < 4/3

y < 4/3 is your answer

hope this helps

write and solve an equation based off the verbal phrase: the difference between 7 and the product of 3x is 23

Answers

7 - 3x = 23
-3x = 16
x = -8

Jasmine parents allow her to use the family computer 90 minutes each day how many minutes is she allowed to use the computer during that moth is 30 days in length

Answers

Use multiplication:
90 minutes per day * 30 days is 2,700 minutes in a month with 30 days.
2,700 minutes is also equal to 45 hours, as 2,700 minutes / 60 minutes per hour is 45 hours.

Which expression can be used to find 80% of 120?

Answers

120*0.8 is the expression, because you can put 80% as 80/100 and that is equal to .8 so you just put that in a calculator and thats your answer. Hope that helped :)

Answer:

[tex](0.80)120[/tex]

Step-by-step explanation:

We are asked to find an expression that represents 80% of 120.

We know that % means per hundred. 80% would be 80 divided by 100.

[tex]80\%\text{ of }120=\frac{80}{100}\times 120=(0.80)120[/tex]

Therefore, the expression [tex](0.80)120[/tex] represent 80% of 120.

The diameter of the moon is about 3,476 kilometers the distance from earth to the moon is about 384,400 kilometers about how many moons could be lined up in a row between earth and the moon round the nearest whole number

Answers

384,400 /3476 = 110.587 so 111  

because .587 is more than half way from 110 to 111

Remark

You have to make up your own formula here. You also should estimate the answser. That's always good practice. It makes you think about Math.

Estimate

If you take 384,000 and estimate it to be 300000 and do the same with the diameter to make it 3000

300,000 / 3000 = 100 about. You should get an answer of 100

Formula

Distance to the moon (D)= number of moons (n) * diameter of 1 moon (di).

Givens

D = 384000

n = ??

di = 3476

Solution

384000 = n * 3476    Divide by 3476

384000 /3476 = n / 3476

n = 110.5 moons which I think you should like round to 110.

You could fit 110 moons in the given distance

Mark and his friends Byron were watching a superhero movies. During the movie mark ate 5 pieces of candy . Byron ate 7 times as much candy as mark. How much candy did Byron eat.?

Answers

Bryon ate 35 pieces of candy. 7 times 5 equals 35

Final answer:

To find out how much candy Byron ate, we multiply the number of candies Mark ate, which is 5, by 7. Byron ate a total of 35 pieces of candy.

Explanation:

The question involves solving a basic multiplication problem to determine how much candy Byron ate if Mark ate 5 pieces of candy and Byron ate 7 times as much. According to the given scenario, we can represent this mathematically as:

Mark ate 5 pieces of candy. Byron ate 7 times as much candy as Mark did. To find out the total pieces of candy Byron ate, we multiply the number of candies Mark ate by 7. Therefore, Byron ate 5 pieces × 7 = 35 pieces of candy.

This arithmetic calculation shows us Byron's total candy consumption during the movie.

what is the answer of this question2(5x-4)≥6+12

Answers

X is 2.6 and or 13/5

answer:  x ≥  13/5


work:

2 (5x − 4) ≥ 6 + 12  | distribute 2 into the parentheses.

10x - 8 ≥ 6 + 12  | add 12 and 6.

10x − 8 ≥ 18  | add -8 and move it over to 18, and solve.

10x ≥ 26  | divide by 10 to 26

x ≥  13/5  | final answer.

hope this helps! ❤ from peachimin




what is 4 to the -5th power

Answers

Answer: [tex]\frac{1}{4^5}[/tex]  because any exponent that is a negative has to be brought down.

hope that helps :)

Answer:

The answer is 1/45

Step-by-step explanation:


Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

5,–1, –7, –13, –19, ...

Answers

5, -1, -7, -13, -19

 -6   -6  -6   -6     the difference between the numbers is -6

[tex]a_{n} = a_{1} + d(n - 1)[/tex]  ; where a₁ is the first term, d is the difference, and n is the term

[tex]a_{n} = 5 - 6(n - 1)[/tex]

[tex]a_{n} = 5 - 6n + 6)[/tex]

[tex]a_{n} = 11 - 6n[/tex]

f(1) = 5

[tex]a_{1} = 11 - 6(1)[/tex]

      = 11 - 6

       = 5

 TRUE

Stephanie collected data about the high temperature in her city for 7 days in a row. The high temperatures for the 7 days were 70 degrees, 78 degrees, 85 degrees, 73 degrees, 65 degrees, and 89 degrees. She made the following graph to show her data.

She says the temperature in her city is pretty consistent. How could she redraw the graph so that the daily temperature doesn’t see quite so consistent?

Answers

We are given the high temperature in her city for 7 days in a row.

First day it is 70 degrees.

Second day it is 78 degrees.

Third  day it is 85 degrees.

Fourth day it is 73 degrees.

Fifth  day it is 65 degrees.

Sixth day it is 78 degrees.

Seventh day it is 89 degrees.

We can make a a histrogram to show that temperature doesn’t see quite so consistent.


what is the answer to
-1 times 2

Answers

Answer:

Negative 2.

Step-by-step explanation:

2x -1 would have an outcome of a negative number since 2 is positive and one is negative. if they were both positive numbers or negative numbers then the answer would be positive

it would equal -2 any positive number times -1 is a negative

A pizza eating participant can eat 3 slices ok pizza in 2 minutes if he continues at this rate then how many slices of pizza will he eat in 10 minutes

Answers

at this rate, he can eat 15 slices of pizza in 10 minutes **wow!!**

we can do this by setting it up as a proportion: 3slices/ 2 minutes= ?/1 minute

we divide 3 by 2 to get how many slices he can eat in one minute, which is 1.5

so, now, we just have to multiply 1.5 times 10 minutes, and we get 15 slices of pizza per 10 minutes

What value of x makes the equation true?



12(4x−5)+52=10





Drag and drop the correct number in the box.
x =
5 8 12 20

Answers

Answer:

The answer is 5

Step-by-step explanation:

I had the test, and what you meant was probably: 1/2(4x-5)+5/2=10

but yes, the answer is 5

Which expression can be used to convert 22 Australian dollars to US dollars

Answers

Answer

The expression is

[tex]AUD/1.38 = USD[/tex]

Explanation

Step by step conversion is as following;

1 USD = 1.38 AUD, or its reciprocal

Where,

1.38 recent currency rate

AUD = Australian dollar

USD = US dollar

So, by rearranging

[tex]1 AUD = 1/1.38 USD[/tex]

Then

[tex]22AUD/1.38 = 15.94 USD[/tex]

The answer is

[tex]22A UD = 15.94 USD[/tex]


−\frac{7}{10} ÷\frac{2}{5}

Answers

$$ −\frac{7}{10} \div\frac{2}{5}= \frac{-7}{4} $$ . totally answer. I hope helping with this answer

Answer:

Huh?

Step-by-step explanation:

Can you guys help me in number 6


Use the word bank to complete the sentences below

Answers

A. x intercept

B. y intercept

C. x coordinate

D. y coordinate

E. solution

Hope this helped!!



a. x-intercept

b. y-intercept

c. x coordinate

d. y coordinate

e. Solution

You work 20 hours a week at a store in our $8.50 per hour. At another job you earn $8.00 per hour and can work as many hours as you want. If you want to earn $370 for the week, how many hours will you need to work at the second job?

Answers

You will need to work 46 hours and 25 minutes You need to divide 370/8.00=46.25

For the second job you work for $8.00 per hour and you want to make $370 for the week so its just simple division.

$370/$8.00 is 46.25 hours a day which means you will have to work close to 46-47 hours a day to make $370 in a week.

Solve −4(x + 10) − 6 = −3(x − 2). (1 point)

Answers

Hey there!!

Given equation :

... -4 ( x + 10 ) - 6 = -3 ( x - 2 )

Using the distributive property :

... -4x - 40 - 6 = -3x + 6

Combining like terms :

... -4x - 46 = -3x + 6

Adding 46 on both sides :

... -4x = -3x + 52

Adding 3x on both sides :

... -x = 52

... x = -52

Hope helps!

Write the decimal that 1 tenth of 0.9

Answers

0.09

one tenth of 0.9 is 0.9 divided by 10, which means moving the decimal point one place to the left

[tex]\frac{0.9}{10}[/tex] = 0.09


75=3(-6n-5)
Having troubles with this one too!! XD. I’m going to fail math this year, I swear ;((

Answers

Distribute.
3(-6n-5)=75
-18n-15=75
-18n=75+15
-18n=90
n=90/-18
n=-5
75 = 3 (-6n - 5)
75 = -18n - 15
75 + 15 = - 18n
90 = -18n
90 / 18 = -n
5 = -n
-5 = n

check:
75 = 3 (-6 (-5) - 5)
75 = 3 (30 - 5)
75 = 3 × 25
75 = 75

Number fifteen, ANSWERS TO BLANKS AND AN EXPLANATION. FIRST ANSWER THAT IS CORRECT WILL BE MARKED BRAINLIEST!

Answers

To get from 60 to 100 you multiply by .6, so to get from 36 to what the first place would get you multiply by .6 and you get 60. Hopefully it helps!

what is 0.012 as a fraction

Answers

0.012 as a fraction would be 12/1000, which can be simplified to 3/250. :)

To convert 0.012 to a fraction, you multiply by 1000 to get 12/1000 and then simplify it to 3/250. Therefore, 0.012 as a fraction is 3/250.

To convert the decimal 0.012 into a fraction, follow these simple steps:

Write down 0.012 as 0.012/1.

Multiply both the numerator and the denominator by 1000 to get rid of the decimal point:

0.012 x 1000 / 1 x 1000 = 12 / 1000.

Simplify the fraction by finding the greatest common divisor (GCD) of 12 and 1000, which is 4:

(12 ÷ 4) / (1000 ÷ 4) = 3 / 250.

Thus, 0.012 as a fraction is 3/250.

Find the equation of the line that is perpendicular to the line y=-1/3x-1 and passes through the point (1,5)

Answers

A perendicular line will have a slope that is the negative reciprocal of the perpendicular slope. The negative reciprocal of - 1/3 is 3. So far we have y=3x+b since 3 is the new slope. However, we need to set a b value such that it passes through (1,5). Set y to 5 and x to 1. 5=3(1)+b and we can see that to satisfy this, b must be 2. Thus, the line is y=3x+2

To find the equation of the line perpendicular to y = -1/3x - 1 and passing through the point (1,5), we use the negative reciprocal of the original slope (which is 3) and the point-slope form to finally arrive at the equation y = 3x + 2.

The student is asking for the equation of a line that is perpendicular to a given line and passes through a specific point. The given line has the equation

y = -1/3x - 1. Because perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we're looking for is 3. Using the point-slope form of the equation of a line, we plug in the slope and the coordinates of the point (1,5) to get

y - 5 = 3(x - 1).

Simplifying this equation gives us the standard form of the line:

y = 3x + 2.

1052×291 i need answer asap

Answers

   1052

  x 291

   1052    multiplied 1 x 1052

94680    multiplied 90 x 1052

210400   multiplied 200 x 1052

306,132    added  1 x 1052 and 90 x 1052 and 200 x 1052

Answer: 306,132

Aaron needs 24 inches of copper wire for an experiment. The wire is sold by the centimeter. Given that 1 inch = 2.54 centimeters, how many centimeters of wire does Aaron need? Hint: 1/2.54 = 24/x , remember you have to keep inches on top and centimeters on bottom of both fractions so they are equal. What is the answer to this problem? PLS HURRY

Answers

[tex]\frac{1}{2.54} =\frac{24}{x}[/tex]

Multiply both sides by 2.54.

[tex]1=\frac{24}{x} (2.54)[/tex]

[tex]= \frac{60.96}{x}[/tex]

Multiply both sides by x.

x = 60.96

Hence, Aaron needs 60.96 centimeters of wire.

Final answer:

Aaron needs 60.96 centimeters of copper wire for his experiment, calculated by multiplying 24 inches by the conversion factor of 2.54 cm/inch.

Explanation:

Aaron needs to convert 24 inches of copper wire to centimeters. Since 1 inch equals 2.54 centimeters, Aaron can calculate the length of wire needed by multiplying the number of inches by the conversion factor. By performing the multiplication 24 inches × 2.54 cm/inch, the result will give the length of wire needed in centimeters.

To find the answer, complete the multiplication:

24 inches × 2.54 cm/inch = 60.96 centimeters.

Therefore, Aaron needs 60.96 centimeters of copper wire for his experiment.

Math word problem. Mike paid $59.00 for a bike. He paid with FOUR bills. What were the bills? Tell me the denomination of each bill and how many were used. Make sure to explain to me how you know this and how it totals $59.00

Answers

The bike costs $59.00

We need four of bill denomination which have sum of $59

The answer will be $50 + $5 + $2 + $2

Other Questions
Plot the data points on the graph below. Make sure you use the corresponding color dot for the point according to the following: 1st point - yellow dot, 2nd point - blue dot, 3rd point - green dot, 4th point - red dot, 5th point - pink dot, 6th point - purple dot. x valuesy values 118 29 36 63 92 181 (Inverse relationship, k = 18) Please Fill in the Blank with the simplified equation. 4a/5 = 24 Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (4, 3). Write the equation in slope-intercept form. Please provide an answer Why did Democratic Republicans speak of the election of 1800 as a revolution? Which of the following is an example of a tort?A: A person is supposed to provide services but fails to.B: A person steals money from his or her employerC: A restaurant violates a city health ordinance.D: A business refuses to serve some unruly customers. Young made several mistakes. He thought the third hieroglyph was part of the one for T, whereas it actually stood for the vowel O. The fourth hieroglyph, the lion, meant just L, the fifth meant M, and the last hieroglyph stood simply for S. In other words, the spelling in Egyptian was Ptolmis, not Ptolemaios. But Young got three out of the seven symbols right, which was a better score than any scholar before him had achieved. Young published his findings in an article written for the 1819 supplement to the Encyclopedia Britannica. He continued to work on the problem of the hieroglyphs in the years that followed, but made little headway in deciphering additional names and words. Why? Largely because he was working under a false assumption. Like countless other scholars over the centuries, Young still believed that most of the hieroglyphs must have a symbolic meaning. Only in special cases, such as foreign names, did he think that they were used to represent sounds. Because of this mistaken belief, Young put roadblocks in his own path. However, he had laid a solid groundwork for others in their attempts to decipher the hieroglyphs. And a young Frenchman, Jean-Francois Champollion, was ready to take up the challenge where Young had left off. The Riddle of the Rosetta Stone, James Cross Giblin Based on the passage, write two or three sentences explaining how the author feels about Thomas Young. Support your answer with examples from the reading. Jacob has a mean score of 78 after his first four math tests. He wants to make a B, or an average of 80, in math. What does he need to score on the fifth test to have a mean score of 80?A.82B.88C.94D.108I also have another one.Which of the following is a valid conclusion from the pie chart? A.If 60 students read four books, then 15 students read five or more books.B.More than half the students read fewer than 3 books.C.If 60 students read four books, then 120 students read two books.D.Twenty-two percent of the students read four or more books. Matthew earned 325$ giving haircuts. He charged 25$ for each haircut how many haircuts did he give A circle has an area of 324 cm2. What is the radius? What number rounds to 168,356 when rounding to the nearest ten thousand All objects in motion have what energy On the food label for a package of crackers, what does a 15 percent Daily Value for iron mean? One cracker provides 15 percent of the iron you need each meal. The entire package of crackers provides 15 percent of the iron that the average person needs each day. The entire package of crackers is made up of 15 percent iron. One serving of the crackers provides 15 percent of the iron that the average person needs each day. How did the ter offensive affect perceptions of the Vietnam war within the united states? If a infant is choking and unconscious and you are alone you should first? Who was elected president in 1796? what did bohr contribute to modern atomic theory elena has 80 unit cubes. what is the volume of the largest cube she can build with them? What Sumerian art form does the photograph show Which right did the states have under the Articles of Confederation?A. the right to elect individual representatives to the Continental CongressB. the right to wage war and make peaceC. the right to sign treaties with other governmentsD. the right to set up post offices