The sum of the cubes of 3 numbers which are in the ratio 1:2:3 is 7776. Find the numbers

Answers

Answer 1

the numbers - [tex]x,2x,3x[/tex]

[tex]x^3+(2x)^3+(3x)^3=7776\\x^3+8x^3+27x^3=7776\\36x^3=7776\\x^3=216\\x=6\\2x=12\\3x=18[/tex]

6,12,18


Related Questions

Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x

Answers

Answer:

Well the correct answer is −4x+28... But I don't

see that as one of your options. :/

Simplify:

18−2(x+x−5)

Distribute:

=18+(−2)(x)+(−2)(x)+(−2)(−5)

=18+−2x+−2x+10

Combine Like Terms:

=18+−2x+−2x+10

=(−2x+−2x)+(18+10)

=−4x+28

Answer:

−4x+28

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

18 - 2 [ x + ( x - 5 ) ]

Remove the unnecessary Parentheses

⇒18 - 2 [ x + x - 5 ]

Collect like terms

⇒18 - 2 [ 2x - 5 ]

Distribute 2 through the parentheses

⇒18 - 4x + 10

Add the numbers

28 - 4x

Hope I helped!

Best regards!!

Which expression is equivalent 6+7n+4+8n?

Answers

Answer: 5(2+3n)

Step-by-step explanation:

Answer:

15n + 10 should be your answer.

Step-by-step explanation:

What type of number is that? Multiple answers.

Answers

Answer:

A & C

Step-by-step explanation:

-9 is a whole number is rational

I need Help please answer :((

Answers

Answer:

Second option is the correct answer

[tex] {3}^{ - 4} [/tex]

Step-by-step explanation:

[tex] {3}^{ - 8} . {3}^{4} = {3}^{ - 8 + 4} = {3}^{ - 4} [/tex]

Answer:

The answer is D because you multiply the exponents so -8 times 4 is -32

Hope this helps and plz mark branliest!

Step-by-step explanation:

3y=-2x+1593 divide each side by 3

Answers

Answer:

y = -2x/3 + 531

Step-by-step explanation:

PLEASE HELP
Arrange the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity.

Answers

Answer:

h,k,i,m,g,l

Step-by-step explanation:

I did all the work and i(x) limt should = -.25 and k(x) =0 but it said it was wrong.  f(x) and j(x) cant be used, so my guess is to switch i(x) and k(x)

The answer is given in the image below.

Do all functions have limits?

One of the fundamental standards of calculus is limits (limits of a function); it offers the fee of a function at a particular factor called limit. Limits are used to calculate the exact vital of the function. Not all functions include limits. A few functions no longer have any restrictions as the variable has a tendency to infinity.

What are examples of nonfunctions?

The equations y = ± x and x 2 + y 2 = 9 are examples of non-function due to the fact there is at least one -price with or greater -values.

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Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar

Answers

Answer:

321/8 ft^2

Step-by-step explanation:

The whole area is 49/4 × 5 = 245/4 ft^2

The area of tiled floor is 13/2 × 13/4 = 169/8

245/4 - 169/8 we need to equalise the bottom of fraction to subtract so

2/2 × 245/4 = 490/8

490/8 - 169/8 = 321/8 ft^2

Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really need help understanding this i know the answer i just need an explanation please help me

Answers

Answer:

x = 1,  x = 2,  x = 3

Step-by-step explanation:

Hello, please consider the following.

[tex](x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3[/tex]

So we need to solve:

[tex]x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\<=> x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0[/tex]

So, the solutions are x = 2, x = 1, x = 3

Thank you

the fastest land dwelling creature is the cheetah. fact or
opinion


Answers

Answer:

True.

Step-by-step explanation:

Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.

The second fastest land animal is the Pronghorn antelope at 98kph (60mph).

Answer:

It is a Fact because it can run 70mph or 112kph

If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.

A. 9 B. 8 C. 7 D. 5​

Answers

So our set of numbers is  5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5  does equal 7 so therefore A is your answer


A.) 170
B.) 300
C.)280
D.)155
Please help me

Answers

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]

which simplifies down a bit to

[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to

[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.

Answers

Answer:

the perimeter of ΔABC is 32in

Step-by-step explanation:

We know that intersection point of the angle bisectors refers to the incenter of the triangle,.

Given tmthe radius of 4inch for the centre of the incircle.

One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value

In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as

d = 1/2(a +b -c)

And a, b, c represent lengths of the sides

We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the

distance from the right-angle vertex C to the incircle touchpoints .

We can determine the sum a+b as

4 = (1/2)(a+b -12) .

4/(1/2)= (a+b -12)

8= (a+b -12)

20=a+b

Which is the addition of length of the two legs of the triangle.

We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.

perimeter = 20 in + 12 in = 32 in

Therefore, the perimeter of ΔABC is 32in

what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6

Answers

[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]

Combine like terms to simplify the expression: -5.55-8.55c+4.35c

Answers

Answer:

-5.55 - 4.2c

Step-by-step explanation:

-5.55 - 8.55c + 4.35c

'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.

Combine:

-5.55 - 8.55c + 4.35c

-8.55 + 4.35 = -4.2

-5.55 - 4.2c

Hope this helps.


WILL GIVE BRAINLIEST!!!

Answers

Answer:

2 x^2 sqrt(13)

Step-by-step explanation:

sqrt( 52x^4)

sqrt( 4*13 * x^2 * x^2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)

2 sqrt(13) x*x

2 x^2 sqrt(13)

52|2

26|2

13|13

1

[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]

A circle has center D and passes through the points F and G. Which of the following is the name of this circle?

Answers

Answer:

Circle D

Step-by-step explanation:

The answer is Circle D

What property is 21+(36+19)

Answers

Answer:

76

Step-by-step explanation:

21+(36+19)

21+(55)

21+55

=76

Answer:

The identity property

Step-by-step explanation:

I took it on Egd.

20 points! Thank you :)

Answers

Answer:

[tex]\Large \boxed{x=-2 \ \mathrm{and} \ x=3}[/tex]

Step-by-step explanation:

The quadratic expression is given.

[tex]2x^2-2x-12=0[/tex]

Factor the left side of the equation.

[tex]2(x+2)(x-3)=0[/tex]

Set the factors equal to 0.

[tex]x+2=0[/tex]

 [tex]x=-2[/tex]

[tex]x-3=0[/tex]

 [tex]x=3[/tex]

The two solutions work in the original equation. The solutions make the equation true.

The quadratic expression:

[tex]2 {x}^{2} - 2x - 12[/tex]

★ By split middle term,we get

[tex]2 {x}^{2} - 6x + 4x - 12[/tex]

[tex]2x(x - 3) + 4( x - 3)[/tex]

[tex](2x + 4) (x - 3)[/tex]

[tex]2x + 4 = 0 \: \: and \: \: x - 3 = 0[/tex]

[tex]2 x = - 4 \: \: and \: \: x = 3[/tex]

[tex]x = - 2 \: \: and \: \: x = 3[/tex]

Therefore , the two solution of given quadratic equations is -2 and 3.

Convert 1.2 radians to an
angle in degrees​

Answers

Answer:

Below

Step-by-step explanation:

Let x be the measure in degrees

● x/180 = 1.2/Pi

Cross multiply the values

● x*Pi = 180×1.2

● x = 216/Pi

Take Pi = 3.14

● x = 68.78 wich is approximatively 69°

How do I solve 3(x+1)=5(x−2)+7?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]

Answer:

 x = 3

Step-by-step explanation:

3(x+1)=5(x−2)+7

Use the distributive property to multiply 3 by x+1.

3x+3=5(x−2)+7

Use the distributive property to multiply 5 by x−2.

3x+3=5x−10+7

Add −10 and 7 to get −3.

3x+3=5x−3

Subtract 5x from both sides.

3x+3−5x=−3

Combine 3x and −5x to get −2x

−2x+3=−3

Subtract 3 from both sides.

−2x=−3−3

Subtract 3 from −3 to get −6.

−2x=−6

Divide both sides by −2.

x = -6/2

Divide −6 by −2

x = 3

55.5% repeating as a decimal​

Answers

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

The solution is, as a decimal​ of 55.5% is, 0.555

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

To learn more on division click:

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A
Find the value of x. Your answer must be exact.
30
9

Answers

Tan30=9/x so it will be 9((3)^1/2)

Answer:

x = 9√3

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 9

The adjacent is x

Substitute the values into the above formula

That's

[tex] \tan(30) = \frac{9}{x} [/tex]

[tex]x \tan(30) = 9[/tex]

Divide both sides by tan 30

[tex]x = \frac{9}{ \tan(30) } [/tex]

We have the final answer as

x = 9√3

Hope this helps you

When using ANOVA, the sum of squares within is: Group of answer choices Showing the difference between the groups Effect variance Error variance Showing the differences caused by the independent variable

Answers

Answer:

When using ANOVA, the sum of squares within is:  Showing the difference between the Total SS and Between SS known as Error variance

Step-by-step explanation:

Within SS is also known as Error sum of squares . It is calculated by finding the difference between Total Sum of Squares and Between Sum of Squares

with the given degrees of freedom.

Within SS = Total SS - Between SS

Where

Total SS= ∑∑X²- C. F

Between SS= ∑T²j/r - C.F

Correction Factor = CF = Tj²/n

So the correct answer would be

Showing the difference between the Total SS and Between SS also known as   Error variance.

(2a-b)2-(a-2b)2 factorial

Answers

Hello, we know that for a and b real numbers

[tex]a^2-b^2=(a-b)(a+b)[/tex]

So,

[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]

Thank you.

If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?

Answers

Answer:

8.94~9.0

Step-by-step explanation:

If A squared plus B squared equals C squared. Then you can used this formula and find that 4 squared plus 8 squared equals 80. then square root 80 to find 8.94 or rounded to 9. This would equal C or the hypotenuse. Hope this helps!

The required length of the hypotenuse of the triangle is 16√5.

Given that,
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse is to be determined.

What are Pythagorean triplets?  

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.

Here,
Applying the Pythagorean theorem,
Hypotenuse²  = perpendicula² + base²
Hypotenuse²  = 8² + 4²
Hypotenuse²  = 64 + 16
Hypotenuse²  = 80
Hypotenuse  = √80
Hypotenuse  =  16√5

Thus, the required length of the hypotenuse of the triangle is 16√5.

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Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar

Answers

Answer:

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

Step-by-step explanation:

La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:

[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]

[tex]x = \frac{56\,manzanas}{7}[/tex]

[tex]x = 8\,manzanas[/tex]

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

3 x 19 x 14 + 18 ÷ 2

Answers

Answer:

807

Step-by-step explanation:

[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]

[tex] = 807[/tex]

Answer:

408

Step-by-step explanation:

3x19= 57

57x14= 798

798 + 18= 816

816/ 2= 408

Find the area of the shape shown below.
9.0
3.5
2
5
2.
units

Answers

Answer: 42.5 unit^2

Explanation:

Answer:

[tex] \boxed{42.5 \: {units}^{2} }[/tex]

Step-by-step explanation:

The shape could be divided into a rectangle and a trapezoid ( bottom part )

Let's find the area of the given shape:

Area of the given shape = [tex] \mathsf{ (l \times b) + \frac{1}{2} (b1 + b2)h}[/tex]

plug the values

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 +9 - (5 + 2) \times 2}[/tex]

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 + 2)(2)}[/tex]

[tex] \mathsf{ = 31.5 + \frac{1}{2} \times 11 \times 2}[/tex]

[tex] \mathsf{ = 31.5 + 11}[/tex]

[tex] \mathsf{ = 42.5 \: {units}^{2} }[/tex]

Hope I helped!

Best regards!

multiply 2x^2-4x 6c^2-5x

Answers

Answer:

a

Step-by-step explanation:

2x^2-4x 6x^2-5x

2x^2 times 6x^2= 12x^4

2x^2 times -5x= -10x^3

-4x times 6x^2= -24x^3

-4x times -5x= 20x^2

12x^4-10x^3-24x^3+20x^2

12x^4-34x^3+20x^2

(Also Brainliest if this helps pls)

|10-11| = simplify the expression

Answers

Answer:

1

Step-by-step explanation:

Let's ignore the absolute value signs for a moment.

We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.

However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.

-1 as a positive number is +1, or just 1.

Hope this helped!

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