Use algebra to show that the recurring decimal 0.2813 =
557
198

Answers

Answer 1

Step-by-step explanation:

tell me the answer when u get too!!

btw its 557/1980

Answer 2

The proof is shown in the solution.

What are recurring decimals?

A repeating decimal or recurring decimal is a decimal representation of a number whose digits are periodic, and the infinitely repeated portion is not zero.

Given that, show that the recurring decimal 0.2813 = 557 / 198

Let 0.2813 be x

0.2813 = x......(i)

2813.2813 = 10000x......(ii)

Subtracting eq(i) from eq(ii)

2813 = 999x

x = 2813 / 999

x = 557 / 198

Hence, proved

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Related Questions

An athlete did one round around a circle of radius 42m.what is the total distance covered by him

Answers

Answer:

Again

Step-by-step explanation:

Answer:

42000cm

Step-by-step explanation:

42m======42000cm

What value of x will make the equation below true?
x−4.5=9

Answers

Answer:

13.5

Step-by-step explanation:

9*4.5=13.5

Write two numbers that multiply to the value on top and add to the value on bottom.
42-top
13-bottom

Answers

Answer:

7 x 6 = 42

7 + 6 = 13

Step-by-step explanation:

Math

need the roots, please help

Answers

-3,0 and -8,0 because that’s where the function intercepts the x axis

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

Answers

Answer:

The circumference of the yellow circle is [tex]9\pi[/tex] or [tex]28.27cm^2[/tex] approximately, the circumference of the blue circle is [tex]6\pi[/tex] or [tex]18.85m^2[/tex] approximately, the circumference of the green circle is [tex]80\pi[/tex] or [tex]251.33mm^2[/tex] approximately, the circumference of the red circle is [tex]5\pi[/tex] or [tex]15.71cm^2[/tex] approximately, and the circumference of the pink circle is [tex]7\pi[/tex] or [tex]21.99cm^2[/tex] approximately.

Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by [tex]\pi[/tex]. In this case, the circumferences of the yellow circle are [tex]9\pi[/tex] or approximately [tex]28.27cm^2[/tex], the circumference of the blue circle is [tex]6\pi[/tex] or approximately [tex]18.85m^2[/tex], the circumference of the green circle is [tex]80\pi[/tex] or approximately [tex]251.33mm^2[/tex], the circumference of the red circle is [tex]5\pi[/tex] or approximately [tex]15.71cm^2[/tex], and the circumference of the pink circle is [tex]7\pi[/tex] or approximately [tex]21.99cm^2[/tex].

12.
Find whether p = 2 and p=3 are solutions for the equation
7 (p+2)=5 (p+4) ? Justify?​

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(p+2)=5(p+4)

By distributive law

The eqn becomes :

7p + 14 = 5p + 20

collecting like terms ;

7p - 5p = 20 - 14

=> 2p = 6 and

:- P = 3 ( dividing both sides by 2)

P= 3 is the only solution to the equation above and it satisfies the equation.

Which expression is equivalent to 2w? w+w
2w+w
2w-w
w+2

Answers

Answer:

It is equivalent to w+w

Step-by-step explanation:

w+w= 2w

Answer:

A w+w

Step-by-step explanation:

because 2w means 2 * w ( 2 times w)

when you multiply 2 time any number, you add that number twice,

exp... 4 times 2 = 4 + 4

therefore 2w is also w+ w

Ms. Hernández is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernández does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernández can purchase?

Answers

(40-10)/7

The maximum amount of money she wants to spend is $40
Her adult ticket costs $10
She will pay for the children’s tickets with the remaining money
Each child’s ticket costs $7
To find the number of children she can take we need to use this expression (40-10)/7
Mrs Herñàndez can take 4 children

Answer:

e

Step-by-step explanation:

e

1) Millie needs 2 cups of flour for the banana
bread she is making. How much flour will
Millie need to make 3 batches of banana
bread?​

Answers

Answer:

2 x 3 = 6 cups

Step-by-step explanation:

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

A.) If the edge of the dodecagon is 6 cm, what is the area of the top of the cookie?

B.) His parents decides to divide the cookie into 12 congruent pieces.
After 9 of the pieces have been eaten, what area of the cookie is left?

Answers

Answer:

The answer to each question is:

A.) 403.2 [tex]cm^{2}[/tex] B.) 100. 8 [tex]cm^{2}[/tex]

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * [tex]\frac{2+\sqrt{3}}{2}[/tex]

If we replace the value of the edge, we obtain:

Apothem = 6 cm * [tex]\frac{2+\sqrt{3}}{2}[/tex]Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edgeArea of a dodecagon = 6 * 11.2 cm * 6 cmArea of a dodecagon = 403.2 [tex]cm^{2}[/tex]

Then, the area of the dodecagon is 403.2 [tex]cm^{2}[/tex] approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 [tex]cm^{2}[/tex]3 pieces = X

Then:

X = (3 * 403.2 [tex]cm^{2}[/tex]) / 12X = 1209.6 [tex]cm^{2}[/tex] / 12X = 100. 8 [tex]cm^{2}[/tex]

In this form, when the cookie has 3 pieces, its area is 100. 8 [tex]cm^{2}[/tex] approximately.

CITY |. Temperature (°F) St. Louis | 32 Montreal |. -18 Buffalo. | -8 Orlando. |. 68 Juneau. |. -26 By noon, the temperature In Buffalo had risen by 14 °F. What was the temperature there at noon? How much higher was the 6 a.M. Temperature in St. Louis than Juneau?

Answers

Answer:

6°F

58°F

Step-by-step explanation:

From the data Given :

Temperature rise in Buffalo by noon time = 14°F

The initial temperature at Buffalo = - 8°F

Rise in temperature = 14°F

Therefore, temperature at noon = (-8 + 14)°F = 6°F

B.)

Temperature at 6am in St. Louis = 32°F

Temperature at 6am in Juneau = - 26°F

Temperature difference :

(32 - (-26))°F

32 + 26

= 58°F

Temperature in St. Louis is 58°F higher

From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.

90 - 2c = 60

A. 7
B. 18
C. none of these
D. 15

Answers

Answer:

7-2=5

18-2=16

15-2=13

90-20=70

Hi :) I'm working with rational and irrational numbers. There's a problem .025 with the 25 repeating. If anyone could lend some help on how to solve an equation like this. It would be greatly appreciated.

Answers

1/40 would be your answer because 0.025 is would be 25/1000. Simplify that then you would get 1/40.

Solve using distributive property:
-2/5*3/2+5/3*9/10-3/2*4/5

Answers

Answer:

Answer Down Below

Step-by-step explanation:

The answer to your question is -0.3.

Find the area of the regular polygon with the given radius or apothem.Shape is a hexagon with 4cm inside

Answers

Answer:

55.43cm^2

Step-by-step explanation:

Area of a hexagon given the apothem =  1/2 x perimeter x apothem

apothem = 4cm

To find the perimeter, take the following steps

4 = x√3

x = 4/√3

Multiply by 2

8√3

Since a hexagon has 6 equal sides, multiply by 6

Perimeter = 48√3

Area = (1/2) x  48√3 x 4 = 55.43cm^2

Will give brainiest help please


Write the equation of the line in Slope-Intercept Form.
(-2,3),(0,-1)

Answers

The slope intercept form is y=-2x-1

hamid has gained weight.
he now weighs 88kg which is 10% higher than his normal weight
what is hamids normal weight?

Answers

Answer:

8.8 kilograms

Step-by-step explanation:

Answer: 83.6 Kg

Step-by-step explanation:

x * 0.1 = y ---> x = y/0.1

88 - y = x

y/0.1 = 88 - y

2y = 88 * 0.1

y = 4.4

88 - 4.4 = 83.6Kg

What is the slope of a line perpendicular to the line with equation y = 5x – 2?


5


−15


–2


–5

Answers

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

Using Angle Relationships to Solve Equations

Answers

Answer:

8.  x=19

9. 42

10. 23

Step-by-step explanation:

8.

x+x+4+3x-9 =90

5x-5=90

x= 19

9.

x=19

x+4= 23

19+23=42

10.

x+4=23

If I have a circle with a raduis of 2 and I want to increase the raduis to 16, what is the scale factor?
4


6


8


12

Answers

Answer:

8

Step-by-step explanation:

2 * 8 = 16

If m1 = 42°, what is m2?

Answers

I’d.k sorry need points

The required measure of angle value of the m2 is 48°.

Given that,
The sum of two angles m1 and m2 is 90, where m1 = 42°,
What is the value of m2 is to be determined.

What is the angle?

The angle can be defined as the one line inclined over another line.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

m1 + m2 = 90
42 + m2 = 90
m2 = 48°

Thus, the required value of the m2 is 48°.

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can anyone help me on absolute deviation

Answers

Answer:

what do you need help with?

Step-by-step explanation:

Three friends compare the balances in their checking accounts.

The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.

What is the balance in Zac's account?

Answers

Is the balance is dee’s account 34% less then AL’s and also don’t trust anyone who tells you to click on a link it’s a virus

pllssss helpppp ;no links i will report

Answers

Answer:

WHere IS the Questionnnn??????

Step-by-step explanation:

Just make sure that you look over it a lot

Hi! brainliest giving :)))
Find the volume of a cone with a base circumference of 17π m and a height 4 m less than twice the radius. Give your answer both in terms of π and rounded to the nearest tenth.

Answers

this is the answer:)

Help on this complete the square problem.


[tex]x^2+3x+7[/tex]

Answers

X2+3x+7=0 that’s the answer

Un arquitecto ha pagado en un corralón un total de $ 130 por 20 Ladrillos, 5 kg de Arena y 10 kg de Cemento. Calcular el precio de cada articulo, sabiendo que 1 kg de Cemento cuesta el triple que 1 Ladrillo y que 1 kg de Arena cuesta igual que 4 kg de Cemento más 4 Ladrillos. Siendo: número de ladrillos y: kg de arena kg de cemento

Answers

Answer:

1 ladrillo cuesta 1 dólar.    1 brick costs 1 dollars.

1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars

1 kg de arena cuesta $ 16: 1 kg sand costs $ 16

Step-by-step explanation:

Spanish

Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada

20b + 5s + 10c = $ 130 --- ecuación 1

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

Poniendo la ecuación 2 en la ecuación 3

1s = 4 (3b) + 4b

1s = 16b ---------- ecuación 4

20b + 5s + 10 (3b) = $ 130

50b + 5s = 130 --- ecuación 5

Poniendo la ecuación 4 en la ecuación 5

50 b + 5 (16b) = 130

50 b + 80b = 130

130 b = 130

b = 130/130 = $ 1 ------- ecuación a

1 ladrillo cuesta 1 dólar.

Poner el valor de costo de 1 ladrillo en estas ecuaciones

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

1c = 3 (1) = $ 3 -------- ecuación b

1 kg de cemento cuesta 3 dólares

1s = 4c + 4b

1 s = 4 (3) + 4 (1)

1 s = 12 + 4

1s = $ 16 ------ ecuación c

1 kg de arena cuesta $ 16

Poner valores de la ecuación a, b, c en la ecuación 1

20b + 5s + 10c = $ 130

20 (1) + 5 (16) + 10 (3) = 130

20 + 80 + 30 = 130

130 = 130 ------------ por lo tanto probado

English

Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition

20b+ 5s+ 10c= $130--- equation 1

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

Putting equation 2 in equation 3

1s= 4(3b) + 4b

1s= 16b---------- equation 4

20b+ 5s+ 10(3b)= $130

50b + 5s= 130--- equation 5

Putting equation 4 in equation 5

50 b + 5 (16b) = 130

50 b+ 80b= 130

130 b= 130

b= 130/130= $1------- equation a

1 brick costs 1 dollars.

Putting the cost value of 1 brick in these equations

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

1c= 3(1)= $3-------- equation b

1 kg cement costs 3 dollars

1s= 4c+4b

1s= 4(3) + 4(1)

1s= 12+4

1s= $16 ------ equation c

1 kg sand costs $ 16

Putting values from equation a, b, c in equation 1

20b+ 5s+ 10c= $130

20 (1) + 5 (16) + 10 (3)= 130

20 + 80 + 30 = 130

130 = 130   ------------ hence proved

Jameson puts $4,000 in graduation money in an account for 10 years. The interest rate is 4.2%. If he withdraws all of the money after 10 years, how much
does he take out?

Answers

Answer:

2,320

Step-by-step explanation:

4.2% gets taken every year and there is 10 year,so 4.2% s uqual to 0.042,so just mutiply 4000 by 0.042 which  is 168,then times 168 by 10 which brings you to 1680 and 4000 subtracyed by 1680,which equals 2,320

How to find surface area of a triangular prism

Answers

Answer:

Step-by-step explanation:

circumference of cylinder

Answers

Answer:

Circumference is the length around the cylinder.

Step-by-step explanation:

Also, follow Sammy Revv on Spotify

Answer:

To find the circumference of a cylinder, you have to be aware that a cylinder's cross-section is a circle. If you know the cylinder's radius: Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the cylinder.

Step-by-step explanation:

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