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

3 ÷ 1/2= 1 ÷ 1/4= 1/2÷2=
1/3÷4= 2÷1/6= 1/4÷3=​

Answers

3/ 1/2 = 6 1 / 1/4 = 4 1/2 / 2 = 1/4
1/3/ 4 = 1/12 2/ 1/6 =12 1/4 /3 = 1/12

y2 + 72 ÷ x - 12 What is the value of the expression when x = 9 and y = 5?

Answers

Answer:

Step-by-step explanation:

Y2 + 72 ÷ x - 12

Putting values of x = 9 and y = 5 in the equation

(5)^2 + 72 ÷ 9 - 12

25 + 72 ÷ 9 - 12

25 + 8 - 12

33 - 12

= 21

Answer:

6

Step-by-step explanation:

(5)*2+72/9-12=6

/=divide

What is PIE please help I forgot

Answers

Answer: 3.14 :) or A pie is a baked dish which is usually made of a pastry dough casing that contains a filling of various sweet or savoury ingredients. Sweet pies may be filled with fruit, nuts, brown sugar or sweetened vegetables. Savoury pies may be filled with meat, eggs and cheese or a mixture of meat and vegetables.

or

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 lol

Answer:

UHMMMM someting u eat?

Step-by-step explanation:

U go nom nom to it

Multiply. x^9 . x^0 . x^-4 . x

A. 1
B. x^5
C. x^6
D. x^-36

Answers

Answer:

C

Step-by-step explanation:

hope this helps

PLEASE ANSWER ASAP
no links please
what is xy?
answers: a: ^ 2 b: 5 c: 5^2 d: 10

Answers

Answer:

C: 5√2

Step-by-step explanation:

Answer is C, 5[tex]\sqrt{2}[/tex] hope this helps !!!

Explanation: A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.

The amount of sprinkles needed for a cookie recipe is proportional to the number of
cookies. A batch of 26 cookies calls for 2 tablespoons of sprinkles. What is the
constant of proportionality between the number of cookies and the number of
tablespoons of sprinkles?


Can someone please help me? And explain and show work.?

Answers

Answer:

C. 13

Step-by-step explanation:

26 ÷ 2 = 13

Let me know if that helped!

Thanks for letting me answer!

A cylinder has a volume of 791.28 cubic centimeters. The height of the cylinder is 7.0 inches. Calculate the radius of the cylinder. Use 3.14 for π.

Answers

Answer:

The radius is 6

[tex] \sqrt{v \div \pi \times h =} [/tex]

=791.28/3.14×7.0

=

[tex] \sqrt{36} [/tex]

=6

The radius of cylinder is 3.764 cm.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us determine how much material is needed to fill it, such as how much water is needed to fill a bottle, aquarium, or water tank.

Given volume of cylinder = 791.28 cm³

height  = 7.0 inches

so, 1 inch  = 2.54 cm

7 inch  = 2.54 x 7 = 17.78 cm

height  = h = 17.78 cm

volume of cylinder = πr²h

where r = radius

V = πr²h

791.28 = 3.14(17.78)r²

r² = 791.28/55.8292

r² = 14.1732

r = √14.17732

r  = 3.764 cm

Hence the radius  is 3.764 cm.

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algebra 1! help!!!!!!

Answers

Answer:

x-4

Step-by-step explanation:

(x^2-16)/(x+4) = x-4

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!!

Answers

Answer:

the volume will be 56 m³

because it is made of 56 cubes of 1m ³ volume

I hope it helps

Answer:

1/3 cubic unit

Step-by-step explanation:

The larger of two numbers is 10 more than the smaller number. Five times the larger number is 40 more than 6 times the smaller. Find the numbers.

Answers

x, x+10

5(x+10)=40+6x

5x+50=40+6x

x=10

and the other number is x+10

Hence teh numbers are 10,20

two triangles are similar the lengths of the sides of one of the triangels 2 times that of corrsponding sides of the other. thearea of the smaller triangle is 25sq.cm.find the area of the larger triangle.
plz step ​

Answers

Answer:

100 sq. cm

Step-by-step explanation:

The scale factor from the smaller triangle to the larger triangle is 2.

The ratio of the areas is 2² = 4

4 * 25 sq. cm = 100 sq. cm

Can someone help me step for step?

Answers

9514 1404 393

Explanation:

(a) Keep in mind the meaning of the variables:

x = PS4 units soldy = X.box 1 units sold

With these definitions in mind, we can examine the constraints.

  x ≥ 0 . . . . . we cannot sell a negative number of PS4 units

  y ≥ 0 . . . . . we cannot sell a negative number of X.box 1 units

  y ≥ 5 . . . . . we intend to sell at least 5 X.box 1 units

  y ≤ 10 . . . . we cannot sell more than 10 X.box 1 units

  x + y ≤ 10 . . . . . we can sell at most 10 units total

(Please note that the constraints y ≥ 0 and y ≤ 10 are redundant to other more restrictive conditions.)

__

(b) The objective function tells us the total profit:

  P(x, y) = 100x + 80y

__

(c) Juan's goal: P(2, 7) = 100(2) +80(7) = 200 +560 = 760

  Justin's goal: P(4, 5) = 100(4) +80(5) = 400 +400 = 800

Meeting Justin's goal would result in more profit.

__

(d) It is not possible to sell a negative number of units*, so negative values for the variables do not make any sense. (This is consistent with the x≥0, y≥0 constraints above.)

_____

* Some linear programming problems plan for a certain number of returned items. Those could be considered to be negative sales.

有一條繩子長
[tex]5 \times \frac{1}{4} [/tex]
公尺,其中
[tex]3 \times \frac{1}{2} [/tex]
公尺塗黄色,求黄色
分占全長的幾分之幾?剩下的部分占全長的幾分之幾?

Answers

what

i'm sorry I don't understand chinese or whatever it is-

Find the area of the figure.
10 cm
15 cm
20 cm
20 cm
The area of the figure is
square centimeters.

Answers

Answer:

10 x 15 = 150

Area of trapezoid:

10 + 20 = 30

30 x 5 = 150

20 - 15 = 5

150 divided by 2 ( x 1/2) = 75

75 + 150 = 225 square cm

Formula of a trapezoid:

B1(base1) + B2(base2) x H (Height) x 1/2 (basically dividing by 2)

the poles for a tent form vertices of a regular decagon. when the poles are properly positioned, what is the measure of the angle formed at a corner of the tent. ( n - 2 ) × 180

Answers

Answer:

Each Interior Polygon angle = 180 - [ 360 / number of sides]

Each Angle = 180 - [ 360 / 10]

Each Angle = 180 - 36

Each Angle = 144 degrees  

Source http://www.1728.org/polygon.htm

Step-by-step explanation:

If m varies directly as n and inversely as the square of p then m=n/kp
true or flase​

Answers

It’s true :) no problem

Graph the logarithmic function f(x) = log2(x - 1) + 2.
anyone know this pls help

Answers

Answer:

I graphed it for you in the image below.

Step-by-step explanation:

Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.

What is a function?

The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.

It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.

The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.

Thus, the graph is attached below.

Learn more about the function here:

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I don’t understand!!!

Answers

Answer:

48

Step-by-step explanation:

by parallel laws

132 + x = 180

x = 48

so x must be 48

48 degrees

Since you are given one angle which is 132 degrees and you know that elm street and new street are perpendicular, then this means that the line crossing over elm street and new street is strait. A strait line is 180. 180 degrees - 132 degrees leaves you with you x angle to be 48 degrees

Look at the table. Is this a function or not a function? ​

Answers

Answer:

not a function it's a relation

Step-by-step explanation:

Find the coordinates of the point D (6, - 3) after the transformation (x,y)
x + 3, y - 2).
(-9,5)
0 (-9,-5)
(9,-5)
(9,5)

Answers

For X, you add three which gives you
6+3=9

And for Y, you subtract 2:
-3-2=-5

Your coordinates are (9,-5)

Tori has a cell phone plan that charges $0.09 for each text message sent. Tori plans to spend no more than $40 per month on texting bill each month. If c(t) = 0.09t represents the total
mumber of text (that you send each month.
The domain of the function is x

Answers

Answer: [tex]t<444.44[/tex]

Step-by-step explanation:

Given

Texting bill is given by [tex]c(t)=0.09t[/tex]

Spending must be less than [tex]\$40\ \text{per month}[/tex]

So, text billing must be less than $40

[tex]\therefore 0.09t<40\\\\\Rightarrow t<\dfrac{40}{0.09}\\\\\Rightarrow t<444.44[/tex]

the measure of a base isosceles triangle is 43? what is the measure of the vertex angle

Answers

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

4
a) There are 360 students in a school and 120 of them are girls.
(i) Find the ratio of the girls and the total number of students.
(ii) Find the ratio of the boys and the total number of students.
(iii) Find the ratio of the girls and boys.
b) An alloy contains 120 g of copper and 150 g of zinc.
(i) Find the ratio of copper and zinc in the alloy.
(ii) Find the ratio of copper and the total weight of alloy.
(iii) Find the ratio of zinc and the total weight of alloy.
:) A ratio is equal to 3 : 8. If the antecedent is 21, find the consequent.
) The consequent of a ratio is 36. If the ratio is 4 : 9, find its antecedent.
) The ratio of two numbers is 7:2. If the greater number is 28, find the smalle
one.

Answers

Answer:

happy to help.........................................

Thomas is baking cookies for his favorite teacher, Mrs. Turner, and his classmates. He needs 7 cups of butter to make the cookies. How many pints of butter will he need?

A. 1 pint
B. 3.5 pints
C. 14 pints
D. 4.5 pints​

Answers

Answer:

It would be B. 3.5 Pints.

Step-by-step explanation:

Six students were asked to list their math quiz scores. Their responses are listed below
Student
Adam
Buford
Carla
Daridjan
Quiz Scores
60, 80, 80, 92
70, 75, 80, 85, 90
55. 72, 80
80, 80, 85, 90, 90
70, 72, 78, 82, 90,
92
Edna
Fran
75, 77, 88
Which of the following students had a median quiz score of 80? Select all that apply.
Carla
O Edna
Fran
оооо
C
Buford
C
Adam
Daridjan

Answers

Answer:

Adam and buford

Step-by-step explanation:

Answer:

adam and buford

Step-by-step explanation:

In a drawing of a
rectangular park, each inch
represents 40 feet. If the
drawing of the park is 18
inches long and 15 inches
wide, what is the perimeter
of the park in feet?

Answers

720 by 600! hope this helps

Please help find the missing angles

Answers

Answer:

2: 45     3: 45   4: 135    5: 135   6: 45   7: 45

Step-by-step explanation:

they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle

easy algebra question below first correct answer gets brainliest

Answers

2?

I think this is it

Answer:

x = 2 and -4

Step-by-step explanation:

(x + 1)² = 9

First, take the square root of both sides. This will eliminate the square on the left side.

(x + 1) = √9

Note that √9 can be 3 or -3.

Let's write out both possibilities.

(x + 1) = 3

(x + 1) = -3

Solve.

(x + 1) = 3

[subtract 1 from both sides]

x = 2

--

(x + 1) = -3

[subtract 1 from both sides]

x = -4

Your answers are 2 and -4.

Let's check our answers by plugging in the values back into the original equation.

(x + 1)² = 9

(2 + 1)² = 9

(3)² = 9

9 = 9

That solution is correct.

(x + 1)² = 9

(-4 + 1)² = 9

(-3)² = 9

9 = 9

That solution is also correct.

Your answer is correct.

Hope this helps!

ANSWER FOR BRAINLIEST:

Mark all of the following that are measures of Central Tendency.


Mean

Range

Mode

Median

Mean Absolute Deviation

Outlier

Answers

Answer:

I think it's mean, range, median, and outlier

Answer:

range,mode and median I think hehehe

Cos x + square root 3 = -cos x

Answers

Answer:

[tex]\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}[/tex]

(the other solutions can be obtained by adding 2pi as many times as you want)

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