Prove that the recurring decimal 0.43333... has the value 13/30

Answers

Answer 1

Answer:

0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30

Answer 2

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

x = 0.43333......

Multiply the equation by 10 on both sides, then we have

10x = 10 × 0.43333......

10x = 4.33333......                        ...1

Multiply the equation by 100 on both sides, then we have

100x = 100 × 0.43333......

100x = 43.33333......                     ...2

Subtract equation 1 from equation 2, then we have

100x - 10x = 43.3333.... - 4.3333.....

90x = 39

x = 39 / 90

x = 13 / 30

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

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Related Questions

ill mark brainlistnplss help

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Chlorophyll absorbs the colors red and blue the most.

Hope this helps.

The sum of 7 and twice a number is 4. Write an equation.

Answers

7 + 2x = 4 (I’m under the word limit just ignore this)

2. In triangle ABC, SA is a right angle, and m B = 45°
(1 point)
C
16 ft
A
B.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
O 16 ft
O 16.2 ft
O 16.5 ft
O 32 ft

Answers

Answer:

[tex]16\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle shown is a 45-45-90. We can use this picture attached to figure out BC.

n in this case is 16ft

Based on the picture, we can get BC's length, which is n[tex]\sqrt{2}[/tex]

BC = [tex]16\sqrt{2}[/tex]

What is the perimeter of the figure shown above?
a. 17 cm
C. 15 cm
b. 21 cm
d. 19 cm

Answers

Answer:

21cm

Step-by-step explanation:

Add everything together,

The top one is 5cm because of the bottom measurement is the same length

the difference of 17 and 5 times a number

Answers

Answer:

I need more context

Step-by-step explanation:

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle ​

Answers

Answer:

prove that opposite sides are congruent and parallel

Step-by-step explanation:

i took the testtttttt

The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.

We are given that;

The quadrilateral ABCD

Now,

A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.

For example, if the slope of AB is m, then the slope of BC is -1/m.

Also, a rectangle has opposite sides that are equal in length,

which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.

Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

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using the commutative property, what would be the equivalent expression for 5+6= ?

Answers

5+6=? It would be mostly 11

In ABCD, the measure of D=90°, CD = 5.4 feet, and DB = 2.2 feet. Find the measure
of C to the nearest degree.

Answers

Answer:

the answer is 22

gggggggggggggggfffffgg

Joel races bikes. In his city, there are 4 4 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A 1 4 4 1 ​ B 3 2 2 3 ​ C 1 3 4 1 4 3 ​ D 4 4 4 4 ​ Joel races 3 3 laps in the same lane. The total distance he races is less than 3 3 miles. Which track does Joel race on?

Answers

So if Joel raced 3 laps , and the total distance is less then 3 miles then it has to be Track C.

can somebody help me?

Answers

The it the it the it the it the it the it shushsuddbrhtbrvvtbdhxhruh ÷ bfhdhedhxucududueueu the it the cauldron makes it able to brong water in the netherbsbsjjdhdxuhahabsb

Which polynomial represents the sum below? (4x5 + 6x3 + 3) + (3x3 + x + 9)​

Answers

Answer:

i think

 4x^5+9x^3+x+12

Step-by-step explanation:

PLEASE HELP
what is the slope of the line?​

Answers

Answer I think = 4/5x + 1.5
Slope is 4 over 5

Help please !!!! This is really hard

Answers

Answer:

Option -c  :5^ -12  .  2^ 40

Step-by-step explanation:

(  5^6 . 2^8    )( 5^-2  . 2^5 )

(  5^6 . 5^-2  )   ( 2^8  . 2^5 )

5^ -12  .  2^ 40

Option -c :  5^ -12  .  2^ 40

I hope im right!!  

tfewfgeeffeefefefwefwewwefewewfefwfew

Answers

Answer:

I understand your pain

Step-by-step explanation: sadge

25 + 12x (24 + 3) - 15 21.3

Answers

Use this. It’s really good

Answer:

324x-1496.3

Step-by-step explanation:

14b-12b-3? plss helpp

Answers

If it’s to simplify its 2b-3

Which of the following is a true polynomial identity?
a) a^6+b^6 = (a^2 + b^2)(a^4 + a^2b^2 + b^4)
b) a^6 - b^6 = (a^2+b^2)(a²-ab+b²)(a²+ab + b²)
c) a^6 - b^6 = (a³-b³)(a-ab+b)(a²+ab+b²)
d) a^6 - b^6 = (a²-b²)(a²-ab+b^2)(a^2+ab+b^2)​

Answers

c or d i think is the correct answer

difference quotient for f (x) = 2x + 3 /5x

Answers

Answer:

1 and -0.6

Step-by-step explanation:

6.3.12
The coordinates of point T are (0,5). The midpoint of ST is (2,-2). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)

Answers

Answer:

[tex]S = (4,-9)[/tex]

Step-by-step explanation:

Given

[tex]T = (0,5)[/tex]

[tex]Midpoint = (2,-2)[/tex]

Required

Find S

Midpoint is calculated as:

[tex]Midpoint = 0.5(x_1 + x_2,y_1+y_2)[/tex]

So, we have:

[tex](2,-2)= 0.5(0+ x_2,5+y_2)[/tex]

Where x2 and y2 are the coordinates of S

Multiply through by 2

[tex]2 * (2,-2)= 2 * 0.5(0+ x_2,5+y_2)[/tex]

[tex](4,-4)= (0+ x_2,5+y_2)[/tex]

[tex](4,-4)= (x_2,5+y_2)[/tex]

By comparison:

[tex]x_2 = 4[/tex]

[tex]5 + y_2 = -4[/tex]

[tex]y_2 = -4-5[/tex]

[tex]y_2 = -9[/tex]

So:

[tex]S = (4,-9)[/tex]

marco set aside 50 minutes

Answers

Answer:

So what's the Question Because to me it looks like something random

If an item is marked 15% off to a sale price of $12.75 ,What is the price of the item before the discount

Answers

Answer:

$85

Step-by-step explanation:

Divide 15% by $12.75

Change 15% into a decimal by multiplying it by 100

$12.75/0.15= $85

I’ll give as many points as possible please help

xy^2 (x^2y^3+5xy-4)

Answers

Answer:

x^3y^5 + 5x^2y^3 - 4xy^2

Step-by-step explanation:

xy^2 (x^2y^3+5xy-4)

xy^2x^2y^3 + xy^2 x 5xy - 4xy^2

xy^2x^2y^3 = yx^2y^5

xy^2 x 5xy = 5x^2y^3

x^3y^5 + 5x^2y^3 - 4xy^2

Is that what you want? Let me know.

Corrie breathed 1 × 10^7 times in a year. She blinked 8 × 10^6 times that year. How many more times did Corrie breathe in a year than she blinked in that year? Write your answer in standard notation

Answers

Snskskskjssksj28828384838188:$2&82:&/&:&

Step-by-step explanation:

1 × 10 ^7 - 8 × 10 ^ 6

2 × 10 ^ 6 which is also equivalent to 2,000,000

Suppose we want to choose 5 objects, without replacement, from 9 distinct objects. (a) How many ways can this be done, if the order of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration?

Answers

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, 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.

Suppose we want to choose 5 objects, without replacement, from 9 distinct objects.

Then the number of ways that this can be done, if the order of the choices is not taken into consideration will be given as,

⁹C₅ = 9! / [(9 - 5)! x 5!]

⁹C₅ = (9 x 8 x 7 x 6 x 5!) / (4 x 3 x 2 x 1 x 5!)

⁹C₅ = 126

Then the number of ways this can be done, if the order of the choices is taken into consideration will be given as,

⁹P₅ = 9! / [(9 - 5)!

⁹P₅ = (9 x 8 x 7 x 6 x 5 x 4!) / 4!

⁹P₅ = 15,120

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.

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The side lengths of four triangles are listed below. Determine whether each triangle is a right triangle Choose Yes or No for each set of side lengths.
a. 4,5,6 Yes No
b. 5, 12, 13 Yes No
C. 8, 15, 17 Yes No
d. 10, 15, 20 Yes No​

Answers

Answer:

yes, yes, no, no

Step-by-step explanation:

In order to determine if it’s a right triangle, use the following formula:

c2= a2 + b2

A. 16 + 25 = 36 NO.
B. 25 + 144 = 169 YES.
C. 64 + 225 = 289 YES.
D. 100 + 225 = 400 NO.

You basically multiply each number by itself and then;
Add a2 + b2.
If the sum matches c2,
Then it is a right triangle!

5(t+4) please heelllpppp

Answers

Answer:

5t+20

Step-by-step explanation:

Write each of the following percents in words. a. 5% b. 34% c. 143% d. 500%

Answers

Answer:

5%=Five percent

34%=Thirty four percent

143%=One hundred forty three percent

500%=Five hundred percent

Hope it helps

Have a great day : )

Mark me brainiest if it had helped you

at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of levi jeans with an original price of x?​

Answers

Given:

Discount = 40%

Sales tax = 7%

To find:

The total cost of levi jeans with an original price of x.

Solution:

Let x be the original price of the jeans. Then the price after 40% discount is

[tex]Price=x-40\%\text{ of }x[/tex]

[tex]Price=x-\dfrac{40}{100}x[/tex]

[tex]Price=x-0.4x[/tex]

[tex]Price=0.6x[/tex]

The price after 7% of sales tax.

[tex]Price=0.6x+7\%\text{ of }0.6x[/tex]

[tex]Price=0.6x+\dfrac{7}{100}\times 0.6x[/tex]

[tex]Price=0.6x+0.042x[/tex]

[tex]Price=0.642x[/tex]

Therefore, the total cost  of the levi jeans with an original price of x is represented by the expression 0.642x.

A dilation produces a smaller figure. Which is a possible scale factor?
0 -2
O 1/3
O 1
O4

Answers

Answer:

1/3

Step-by-step explanation:

2/7 letts gooo keep it goo yall doing great

Answers

Answer:

all of them

Step-by-step explanation:

I'm pretty surep

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