The formula represents the surface area S of a cube with side lengths of X

S=6x^2

Answers

Answer 1
[tex]S=6x^2 \\ \text{first, cancel the 6 by division:} \\ \\ \frac{S}{6}=\frac{6x^2}{6} \\ \frac{S}{6}=x^2 \\ \\ \text{next, cancel the exponent by taking the square root:} \\ \\ \sqrt{\frac{S}{6}}=\sqrt{x^2} \\ \frac{\sqrt{S}}{\sqrt{6}}=x \\[/tex]
Rationalize the denominator by multiplying by the square root of 6:
[tex]\frac{\sqrt{S}*\sqrt{6}}{\sqrt{6}*\sqrt{6}}=x \\ \\ \frac{\sqrt{S*6}}{\sqrt{6*6}}=x \\ \\ \frac{\sqrt{6S}}{6}=x[/tex]
Answer 2
Final answer:

The formula S=6x^2 calculates the surface area S of a cube. It multiplies the square of the side length X by 6 since a cube has six faces. An example with X=2 gives the surface area S as 24 square units.

Explanation:

The formula S=6x^2 in Mathematics is used to calculate the surface area of a cube. Each face of a cube is a square, and since a cube has 6 faces, this is why the surface area S is calculated as 6 times the square of the side length X. As an example if we have a cube with side length of 2 units (X=2), we can substitute X in the formula, giving us S=6*(2^2) = 24 square units, which is the total surface area of the cube.

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Related Questions

Please Help!!!


A system of equations is graphed on the coordinate plane.

2y=3x−14y=6x−2

Graph of an equation that slopes up and toward the right.

Select the number of solutions for the system of equations from the drop-down menu.

Answers

The picture shown is the graphs of the two lines.  You can see from the picture that they intersect at one point; therefore there is one solution to the system of equations.
The awnser is "Infinitely many solutions" Hope this helps

There are 7 cards with a picture of a rose and 2 cards with a picture of a daisy. Alfa keeps all the cards face down on the table with the pictures hidden and mixes them up. She then turns over one card face up and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Alfa turns over has a rose on it? 6 over 9 6 over 8 7 over 9 7 over 8

Answers

The answer would be 6/8 because she has already taken out one of the rose cards, so now you're only left with 8 cards. There are still 2 daisy cards, so you would subtract 8 by 2 and get 6. This makes it 6/8.

Answer: [tex]\dfrac{6}{8}[/tex] or 6 over 8.

Step-by-step explanation:

Given: The number of card having rose on it  = 7

The number of card having daisy on it = 2

Then the total number of cards on table = [tex]7+2=9[/tex]

After removing one rose card , the total number of cards left on table = 8

The number of rose card left on table = 6

Now, the required probability is given by :-

[tex]\text{P(Rose)}=\dfrac{\text{Number of rose card }}{\text{Total cards}}\\\\\Rightarrow\text{P(Rose)}=\dfrac{6}{8}[/tex]

Hence, the probability that the card that Alfa turns over has a rose on it = [tex]\dfrac{6}{8}[/tex]

-4x-2(8x+1)=-(-2x-10)

Answers

-4x - 2(8x + 1) = -(-2x - 10)

The first step is to distribute. On the left side of the equation, multiply the -2 by both terms inside the parentheses; on the right side of the equation, multiply the -1 by both terms inside the parentheses:

-4x - 2(8x + 1) = -(-2x - 10)
-4x - 16x - 2 = 2x + 10

Next, combine like terms.

-4x - 16x - 2 = 2x + 10
-20x - 2 = 2x + 10

Then subtract 2x from both sides and add 2 to both sides to get like terms together; combine like terms.

-20x - 2 = 2x + 10
-20x - 2x = 2 + 10
-22x = 12

Lastly, divide both sides by -22 and simplify.

-22x = 12
x = 12/-22
x = -6/11

Answer:
-6/11

James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?

Answers

Your answer would be 1.00$ because if you subtract all that is given from the problem you get 10-9, which equals 1.
They will recive 1.56

The number above the fraction bar in a fraction is called the?

Answers

Hello,

The answer is "numerator".

Reason:

The numerator is the top part of the fraction:

Examples:

4 <---Numerator
7

5<---Numerator
6

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Which properties did Jacques use to solve the following problem? (You may select more than one answer)
1 x (6 + 28)
(1x6) + (1x28)
6 +28
34
1.Distributive Property
2. Identity property of addition
3. Assoc property of addition
4. Identity property of multilpilication

Answers

distributive property and identity property of multiplication

Answer: Your answer is 1. and 4.

Step-by-step explanation:

Mark me brainliest.

A right triangle has a vertex at point M and a height of 6 units. The base of the triangle is on MN←→− and is 2 units long. One of the vertices of the triangle is at M. Use the Polygon tool to draw the triangle. Each segment on the grid represents 1 unit.

Answers

Answer: go left 5 spaces from point M and go down 2 spaces from point M.

i ended up getting the answer wrong but the green outline from the dots shows what the correct answer is.

Answer:

Here's what I got. The red color is incorrect. Follow the yellow one.

Which answer describes the type of sequence? 99, 89.9, 78.8, 68.7, ... a)geometric

b)arithmetic

C)neither arithmetic nor geometric

Answers

c. neither arithemtic nor geometric
ANSWER

C)neither arithmetic nor geometric

EXPLANATION

The given sequence is

[tex]99,89.9,78.8,68.7,...[/tex]

Let us check to see if there is a constant difference.

[tex]89.9 - 99 = - 9.1[/tex]

[tex]78.8 - 89.9 = - 11.1[/tex]


The two difference are not the same.

Since there is no constant difference, the sequence is not arithmetic.


Let us check to see if there is a common ratio,

[tex] \frac{89.9}{99} = \frac{899}{990} [/tex]


[tex] \frac{78.8}{89.9} = \frac{788}{899} [/tex]

Since the ratio is not the same,the sequence is not geometric too.


The sequence is neither arithmetic nor geometric.


The correct answer is C

Sharon is building bookshelves for her room.She bought a board that is 10 1/2 feet long.If she cuts the board in three equal pieces, how long will each shelf be?

Answers

Each shelf would be 3 1/2 inches
Hey there!

To solve this you divide 10 1/2 by 3:

10 1/2 = 21/2
3 = 3/1

21 x 1 = 21
2 x 3 = 6

21/6 is the answer, but when we simplify it we get 3 1/2 as our final answer.

Each shelf will be 3 1/2 feet long.

Hope this helps you.
Have a great day!

Baileigh is using a piece of string to hang a painting on the wall. The back of the painting is diagrammed below. 36 cm 36 cm 15 cm 15 cm Note: Figure is not drawn to scale. What is the length of the string? A. 78 centimeters B. 102 centimeters C. 39 centimeters D. 51 centimeters

Answers

es el literal A 78 centimetros

Which point is the solution to the following system of equations

Answers

(3,2).  3^2 + 2^2 = 13   2(3)-2= 4 Works for both, hence this is the intersecting point of the two lines.

The ratio table shows the depths of water in a fish tank for different numbers of gallons. Find the unit rate in inches per gallon. Give your answer in decimal form.

Answers

how dos3es it want it in decimsal form there are a couple ways in decimal form at list i was tought

Answer:

0.5

Step-by-step explanation:

Tamara need tiles to make a border for her bathroom wall.The border will be 9 feet long and 1/3 foot wide.Each tile measures 1/3 foot by 1/3 foot.Each box of tiles contains 6 tiles.How many boxes of tiles doe Tamara need?Write two equations that can be used to solve the problem.

Answers

Answer:

e

Step-by-step explanation:

Final answer:

Tamara needs 5 boxes of tiles to complete her bathroom wall border. The calculations involve finding the total area of the border, the area covered by one tile, and then determining the total number of tiles and boxes required.

Explanation:

To determine how many boxes of tiles Tamara needs for her bathroom wall border, we first calculate the total area of the border and then divide that by the area of an individual tile. The area of the border is obtained by multiplying its length by its width. Then, knowing that each box contains 6 tiles, we calculate how many boxes she needs.

The area needed = Length of border × Width of border = 9 feet × \(1/3\) foot.Each tile covers an area = \(1/3\) foot × \(1/3\) foot.Therefore, the number of tiles needed = Total area needed / Area covered by one tile.Finally, the number of boxes needed = Number of tiles needed / 6 (since each box contains 6 tiles).

First Equation

Area of border = 9 × \(1/3\) = 3 square feet.

Second Equation

Number of tiles = 3 / (\(1/3\) × \(1/3\)) = 3 / \(1/9\) = 27 tiles.

Therefore, the number of boxes needed = 27 / 6 = 4.5.

Since Tamara cannot purchase half a box, she would need to round up to 5 boxes in total to complete the border.

Which equation can be used to determine p, the cost of b swim bags? p = 7.50 + b b = 7.50 + p p = 7.50b b = 7.50p

Answers

Answer:

I think its p= 7.50b

Step-by-step explanation:

I picked p= 7.50 + b and b= 7.50 + p but they were both wrong so im assuming that its p= 7.50b

Answer:

Your answer would be C. p = 7.50b.

Step-by-step explanation:

Hope this helps!! :)

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

Number 3 part A and B
And number 4

Answers

the answer to 3a is .25 grams and it is because 0.001 times 250 equal .25. and milli is the 0.001
the answer to 3b is 3500 milligrams and it is because 3.5 times 1000 equals 3500.
the answer to 4 i dont know for sure what it is because i cant see the bottom of the carton picture.
PLEASE MARK AS BRAINLIEST

Find the diagram a || b

Answers

a is the answer i hope this heps

In the triangle m∠1 = 42°, and m∠4 =81°. What is m∠2°?

Question 5 options:

39°


99°


42°


132°

Answers

Final answer:

To find the measure of angle 2 in the given triangle, subtract 180 degrees from the sum of the other two angles.

Explanation:

To find the measure of angle 2 in the given triangle, we need to use the fact that the sum of angles in a triangle is always 180 degrees.

Thus, Angle 3 can be found by subtracting angles 1 and 2 from 180 degrees: Angle 3 = 180 - 42 = 138 degrees.

Finally, Angle 2 can be found by subtracting Angle 3 and Angle 4 from 180 degrees: Angle 2 = 180 - 138 - 81 = 39 degrees.

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Evaluate
12P3

and
10C4

Answers

12P3 =1320
10C4 = 210

The value of the expression ¹²P₃ and ¹⁰C₄ will be 1,320 and 210, respectively.

What are permutation and combination?

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The value of the expression ¹²P₃ is given as,

¹²P₃ = 12! / (12 - 3)!

¹²P₃ = 12 x 11 x 10 x 9! / 9!

¹²P₃ = 1,320

The value of the expression ¹⁰C₄ is given as,

¹⁰C₄ = 10! / [(10 - 4)! x 4!]

¹⁰C₄ = 10 x 9 x 8 x 7 x 6! / (6! x 4 x 3 x 2 x 1)

¹⁰C₄ = 10 x 3 x 7

¹⁰C₄ = 210

The value of the expression ¹²P₃ and ¹⁰C₄ will be 1,320 and 210, respectively.

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23,009,018 word form

Answers

Twenty three million, nine thousand, eighteen
Twenty Three million nine thousand eighteen. I hope this helped:)

How many different ways can five dolls be arranged?
13
12
120
150

Answers

We are given

total number of dolls =5

and there are five spaces only to be arranged in

In first space:

Any five dolls can be put in

so, number of ways of putting dolls in first space is 5

In Second space:

One doll is already put in first space

so, only four dolls can be put in

so, number of ways of putting dolls in second space is 4

In Third space:

One doll is already put in second space

so, only three dolls can be put in

so, number of ways of putting dolls in third space is 3

In Fourth space:

One doll is already put in third space

so, only two dolls can be put in

so, number of ways of putting dolls in fourth space is 2

In Fifth space:

One doll is already put in fourth space

so, only one dolls can be put in

so, number of ways of putting dolls in fifth space is 1

so, total number of ways five dolls can be arranged

[tex] =5*4*3*2*1 [/tex]

[tex] =120 [/tex].................Answer


Answer:

120

Step-by-step explanation:

just a simple awnswer for those imapatient peeps    

the solution for which of the following requires use of absolute value?
a: At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.
b: A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?
c: If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?
d: Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?

Answers

Part a) At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.

we know that

raised money=total vehicle*[$5+absolute value($3-$5)]
raised money=20*[$5+absolute value(-2)]
raised money=20*[$7]
raised money=$140
the answer Part a) is $140

Part b)A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?

step 1
divide $1500 by 12
1500/12=$125/month

if $125 is ------------> 10%
x------------------> 100%
x=100*125/10-----> x=$1250

the answer Part b) is $1250

Part c)If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?

multiply $3.50 by 8.2 gallons
3.5*8.2=$28.7

the answer Part c) is $28.7

Part d) Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?

we know that
speed=distance /time
distance=13.1 miles
time=2 hours and 4 minutes----> 2+(4/60)---> 2.07 hour
time=2 hours and 4 minutes----> 2*60+(4)---> 124 minutes
speed=13.1/2.07----> 6.33 miles/hour
speed=13.1/124----> 0.106 miles/minutes

the answer part d) is 6.33 miles/hour or 0.106 miles/minutes



The solution to problem a) requires the use of absolute value


Answers
a). Minimum =$160
Maximum =$200
b). $410.96
c). $28.7
d). 0.105645161 miles per minute.

Explanation a.
For the first statements (a) there would be no absolute value. It is a range.
There are 20 vehicles, each washed at $5.
$5×20=$100
If there are 20 vehicles then there are 20 drivers.
$3×20=$60 or $5×20=#100
Total amount of money raised
(60+100) to (100+100)
Minimum =$160
Maximum =$200

Explanation b
Let x be her daily sales. There are 365 days in one year.
Donation for one day = 10% of x = 0.01x
Donation for 1 year =0.01x×365=3.65x
3.65x=1500
x=410.96
Donation for 1 day = $410.96

Explanation c.
Cost of 1 gallon = $3.50
Cost of 8.2 gallon = $3.50×8.2=$28.7

Explanation d.
Marissa runs 13.1 miles in 2 hours and 4 minutes
That is to say that she runs 13.1 miles in ((2×60)+4) minutes.
((2×60)+4)=124 minutes.
speed=distance/(time taken)
speed=13.1/124=0.105645161 miles per minute. 

Solve the problem. Use 3.14 for 4072-07-02-02-00_files/i0170000.jpg, and round your answer to the nearest tenth.
The foundation for a fountain is a cylinder 19 feet in diameter and 5 feet high. How much concrete is needed to pour the foundation?

a.
2833.9 ft3
b.
5667.7 ft3
c.
1416.9 ft3
d.
596.6 ft3

Answers

Volume= (3.14)r^2h
Volume= 3.14 (9.5)^2 5
Volume= 1416.9 ft^3

The amount of concrete that is required to fill the fountain is given as 1433.61 ft³. None of the options is correct.

What is a right circular cylinder?

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

The height of fountain is 5 feet.

And, the diameter is 19 feet.

Then, the radius is given as 19/2 = 9.5 feet.

The amount of the concrete filled is equivalent to the volume of cylinder given as,

Plug h = 5 and r = 9.5 in V = πr²h as below,

⇒ V = 3.14 × 9.5² × 5 = 1433.61

Hence, the amount of concrete is given as 1433.61 ft³.

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Order the set of numbers from least to greatest: negative 5 over 6, negative 5, negative square root 26, negative 31 over 6

Answers

Your calculator can be of great help here.

-5/6 = - 0.833333

- 5

- sqrt(26) = - 5.09

- 31 /6 = - 5.1666

Rule: the "larger" the number numerically in the minus region, the smaller the number actually is. Think money. Which would you rather be - 1000 dollars or - 100 dollars. Well you may say neither, but you have to choose. I would rather be just 100 dollars in debt which is - 100 from my point of view.

So the order from smallest to largest is

-31/6, -sqrt(26), -5, -5/6

Remember that -5/6 is 83 cents in debt.


Prove that (n+1)^2 - (n-1)^2 is always odd for all positive integer values of n.

Answers

Let's try it this way.
Do you know how to expand a binomial squared? If you do here's one way to do it.
(n +1)^2 = n^2 + 2n + 1
(n - 1)^2 = n^2 - 2n + 1

Now put them together
(n^2 + 2n +1) - (n^2 - 2n + 1) Remove the brackets.
(n^2 + 2n + 1 - n^2 + 2n - 1
2n + 2n = 4n is what is left. What you have given us is always even.

To show (but not to prove) that the result is even, let n = 10
(10 +1)^2 - (10 -1 )^2
(11)^2 - (9^2)
121 - 81 = 40

Maybe if you start out with (say) n = 7 (an odd number) you might get an odd number.
(7 + 1)^2 - (7 - 1)^2
8^2 - 6^2 (doesn't matter what the answer is. It will be even.
64 - 36 = 28 and that is also even.

Nice question. Maybe because you are in middle school mathematics, this last proof is good enough. In any case, you will never get an odd result. Isn't that something? Thanks for posting.  

solve: 2x+6-10x=30

PLEASE ANSWER CORRECTLY WILL MARK AS BRAINLIEST ANSWER
(dont do it just for points or i will report u)

Answers

the answer will be -3

Choose the set of measurements listed in order from greatest to least.
A. 20 kl, 20 L, 20 ml
B. 20 L, 20 ml, 20 kl
C. 20 ml, 20 L, 20 kl
D. 20 ml, 20 kl, 20 L

Answers

i belive the answer is c


Answer:

Whats up? Its c

Step-by-step explanation:

marcela made 4 out of 16 free throws. write the fraction of free throws she made in simplest form

Answers

Answer:

1/4

Step-by-step explanation:

Final answer:

The fraction of free throws Marcela made in simplest form is 1/4.

Explanation:

Marcela made 4 out of 16 free throws. To express this fraction in simplest form, we divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor. In this case, the greatest common divisor of 4 and 16 is 4.

To simplify the fraction:

Divide the numerator (4) by 4, which equals 1.Divide the denominator (16) by 4, which equals 4.

Therefore, the fraction of free throws Marcela made in simplest form is 1/4.

Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally. Carmine is in both groups of students.

What is the total number of mini muffins Carmine gets?

Carmine gets (___)
muffins.

Answers

12 for 8 that is 1.5 per person
15 for 6 that is 2.5 per person

She would get 4 muffins

Hope this helps

the total number of mini muffins Carmine gets is 4.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally.

In first group,

Each student will get = 12/8

Each student will get = 3/2 mini muffin

In second group,

each student will get = 15/6

each student will get = 5/2

Since, carmine is in both the groups,

She will get = 5/2 + 3/2

Carmine will get total mini muffin = 8/2 = 4

Therefore, Carmine will have 4 muffins for herself.

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A rectangle has an area represented by x^2-4x-12 feet. If the length is x+2 feet, what is the width?

Answers

The width is (x-6)............

Just 14 and 15 please

Answers

14. The answer to this question is D, because if you think about a percent as over a 100, you can conclude that 59% = 59/100. Then, to get the total length, you multiply that percent by the overall length which is 40. 

15. Same thing as above, and the answer is, again, D.
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