Express the recurring decimal 0.142 as a fraction in its simplest form

Express The Recurring Decimal 0.142 As A Fraction In Its Simplest Form

Answers

Answer 1

Answer:

[tex]\frac{47}{330}[/tex]

Step-by-step explanation:

We require to create 2 equations with the recurring part (42) placed after the decimal point.

let x = 0.14242 ( multiply both sides by 10 and 1000 )

10x = 1.4242... → (1)

1000x = 142.4242... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

990x = 141 ( divide both sides by 990 )

x = [tex]\frac{141}{990}[/tex] = [tex]\frac{47}{330}[/tex]

Answer 2

The fractional form of the recurring decimal 0.142 is 47/330.

What is a recurring decimal?

A number whose digits are periodic and the indefinitely repeated component is not zero is represented as a repeating decimal or recurring decimal. If and only if a number's decimal representation repeats or terminates, it is possible to demonstrate that the number is rational.

Given, A recurring decimal 0.142 where 4 and 2 are repeating.

In the denominator, we'll write as many 9's as there are recurring digits after the decimal and after as many zeros as there are digits after the decimal which are not repeating, and in the numerator, we'll subtract the nonrecurring digits from the total digits after the decimal.

Therefore, 0.142 where 4 and 2 are repeating can be written in fraction form as,

(142 - 1)/990.

= 141/990.

= 47/330.

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Related Questions

Fill in the blank to solve the expression!

-(-8) = ____

Answers

Answer:

The answer is 8

Step-by-step explanation:

Multiply -1 by -8

Two less than three times a number is equal to 19. What is the number?

Answers

The best way to approach a word problem like this

is to break it down into pieces, so we can understand it fully.

In this problem, we have a number, which we don't know.

We can use any variable to represent it.

So let's use the variable n to represent it.

"Two less than three times a number" means 3n - 2.

A common mistake is for students to put 2 - 3n.

However, the word "less than" switches the order around.

So we have 3n - 2 = 19.

Solving from here, we add 2 to both sides to get 3n = 21.

Now divide both sides of the equation by 3 and we have n = 7.

So the number is 7.

39.4 x 1.7 I don’t how workout this out

Answers

Answer:the answer is 66.98

Step-by-step explanation:

Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4

Answers

Answer:

2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6

Step-by-step explanation:

So I need help with this. Why Do we seat?​

Answers

Answer:

When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.

Step-by-step explanation:

hope this helps

Write an equation for the line that passes through (2,-1) and is parallel to the line y= 3x+8?

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

If it is parallel it has the same slop so we know mx = 3x

then solve for b

-1 = 3(2) + b

-1 = 6 + b

5 = b

How do you write this in a expression?please answer quick (take away a number n from 24)

Answers

Answer:

24-n

Step-by-step explanation: hope this helps if it does pls give brainliest tysm!

Answer:

24-n

Step-by-step explanation: we taking away so that is substraction.

What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x

Answers

Answer: y = -1/5x - 36/5

Hope this is right with the weird fractions. Work in pic:

what is 7%o of 14.68​

Answers

Answer:

1.03

Step-by-step explanation:

i multiplied 14.68×.07

hope this is correct and helps

Answer:

1.03

Have a good day! :)

21.6 Computer use. A random sample of 197 12th-grade students from across the United States was surveyed, and it was observed that these students spent an average of 23.5 hours on the computer per week, with a standard deviation of 8.7 hours. If we plan to use these data to construct a 99% confident interval, the margin of error will be approximately (a) 0.07. (b) 0.62. (c) 1.6. (d) 8.7.

Answers

Answer:

(c) 1.6

Step-by-step explanation:

Calculation for what the margin of error will be approximately

First step is to calculate Total hours spent

Total hours spent = (197 * 23.5 hours)

Total hours spent =4,625 hours

Second step is to find the square root of the sample size

Sample size=√197

Sample size=14.04

Third step is to divide the Standard deviation of 8.7 hours by square root of sample size of 14.04

= 8.7 hours /14.04

= 0.6196

Fourth step is to use the Z table to find Z value at 99% confidence

Z value at 99% confidence = 2.58

Last step is to calculate the Margin of error

Margin of error = 0.6196 * 2.58

Margin of error = 1.59857

Margin of error= 1.6 (Approximately)

Therefore what the margin of error will be approximately is 1.6

Rhoda and James both sell laptops and earn commission based on the number of laptops sold. In one month, Rhoda
earns $2000 in commission for selling 10 laptops and has a base salary of $600. The money James earns for selling
laptops in the same month is shown in the graph below.

Answers

Answer: James earns $50 more in commission than Rhoda for each laptop sold.

Step-by-step explanation:hope it helps

James earned $50 more than Rhoda.

What is Data?

A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.

Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.

Given:

In one month, Rhoda earns $2000 in commission for selling 10 laptops.

For, one laptop = 2000/10

                         = 200

Now, as from the graph

In one month, James earns $2500 in commission for selling 10 laptops.

For, one laptop = 2500/10

                         = 250

So, James earned $50 more than Rhoda.

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Which statement(s) most directly apply to capitalism?

1. There is heavy government regulation of industry.
II. Individuals can start some, but not all, kinds of enterprises.
III. The price and availability of goods is determined primarily by the market.
a. I and II
b. ll only
c. I and III
d. Ill only

Answers

Answer:

The answer is D, lll only.

Step-by-step explanation:

Just took the test on e d g e!

The statement that most directly applies to capitalism is III only.

Option D is the correct answer.

What is capitalism?

It is a system of the economy where means of production and distribution are owned by the private, not the government.

We have,

The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.

Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.

On the other hand,

Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.

Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.

Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.

In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.

Therefore,

The statement that most directly applies to capitalism is III only.

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Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.

Answers

Answer:

It will take her 3 hours and 120 pages

Step-by-step explanation:

It was on edge pls mark brainliest

Answer:

b

Step-by-step explanation:

Need help Pronto! Will give braintliest.

Answers

Answer:

2

Step-by-step explanation:

I did my work here, and can u pls answer my recent question

There are49 students on a tour.Each guide can take 5 students.How many guides are needed?Explain.

Answers

10 because 9 is 45 and then there is 4 students left over who need a guide (please give brainliest:) )

K(x)= -x^2 inverse function SHOW WORK PLEASE HELP FAST

Answers

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: k=−x

Hope this helps.

how do you
find the exact value of each
variable that represents a side length in a right triangle

Answers

Use the pythagorean theorem if you cannot directly measure it. a squared plus b squared = c squared

Find the measure of angle A.​

Answers

Answer:

30 degrees

Step-by-step explanation:

Keep this in mind, ALL triangles must equal 180 degrees.

This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.

[tex]90 + (x+37) + (x+67) = 180\\[/tex]

Now solve for x by isolating x

[tex]2x + 194 = 180\\2x=-14\\x=-7[/tex]

Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.

-7 + 37 = 30

<A is 30 degrees.

Check your work

Plug in -7 where you see x.

[tex]90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180[/tex]

Turns out this was a 30-60-90 triangle. ✅

Will mark the brainliest

Answers

Answer:

C.

X = -5

Step-by-step explanation:

-1(-2)(-3)(-3)

please answer im so confused

Answers

(-1)*(-2)*(-3)*(-3) = 2*9 = 18

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

Answer: its b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55

Answers

Answer:

Step-by-step explanation:

the table is not copied correctly, I assume

the mail carrier will travel a distance of 15x

Juanita constructed a number line to test her brother’s understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A.

Which represents the opposite of Point A?
Negative (negative 10)
Negative (negative 5)
0
Negative (10)

Answers

Answer:

-(10)

Step-by-step explanation:

Answer:

negative (negative 10) is the answer.

Step-by-step explanation:

Identify the linear function with a slope of -2 and a y-intercept of 1?
a. - 2y = x +1
b. y=-2x
c. y = x-2
d. y=-2x+1

Answers

it's d just put them together to equal y

it’s d step by step explanatory

Please Help These Are All My Points.

Answers

im pretty sure it’s the second one i’m sorry if i’m wrong

Find the shaded area. Use 3.14 as the approximate value of pi.

Answers

Answer:

164.73 cm²

Step-by-step explanation:

Area of the shaded area = area of semi-circle - area of the triangle

Area of the semi-circle:

Area = ½(πr²)

r = ½ of 34 = 17 cm

π = 3.14

Area = ½(3.14 × 17²)

Area = 453.73 cm²

Area of the triangle:

Area = ½*b*h

b = 34 cm

h = 17 cm

Area = ½ × 34 × 17

Area = 289 cm²

Area of the shaded area = 453.73 - 289 = 164.73 cm²

Find - square root 49
+7
7
-7
24.5
Easy points please put answer

Answers

Answer:

7?

Step-by-step explanation:

7
7 times 7 is 49
So the square root of 49 is positive 7

find the distance between (9,3) and (5,-3) in simplest radical form

Answers

Answer:

[tex]d = 2\sqrt{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, 3)

Point (5, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]:                    [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract:                               [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents:                           [tex]d = \sqrt{16+36}[/tex]Add:                                      [tex]d = \sqrt{52}[/tex]Simplify:                                [tex]d = 2\sqrt{13}[/tex]

Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error?

Answers

Answer:

If Tim actually earned 62 points . Therefore Tim's percent error is 58.1 % .

Step-by-step explanation:

An online camping supplies outlet charges $14 for a canteen,
and shipping is $2 per order.
Part A
Write an expression that CJ can use to find the total cost in
dollars for ordering n canteens.

Part B
CJ orders 2 canteens and his friend Cameron orders 4 canteens.
What is the total cost, including shipping, for both orders?
Show your work.

Answers

Answer:

Part A: 14x + 2

Part B: CJ's order is $30, and Cameron's order is $58.

Step-by-step explanation:

Part A: The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.

Part B:

CJ's Order:

14(2) + 2 =

28 + 2

$30

Cameron's Order:

14(4) + 2 =

56 + 2 =

$58

Hope this helps! :D

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