express 0·4393939... as a fraction in its lowest term

Answers

Answer 1

Answer:

x= 439/999

Step-by-step explanation:

let x= 0.439439....    -> eq.1

1000x= 439.439439....    -> eq.2

eq.2-eq.1 =>   1000-x= 439.439....-0.439439...

                            999x= 439

                               x= 439/999

Answer 2

Answer:

[tex]\frac{29}{66}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating digits 39 placed after the decimal point.

let x = 0.43939... ( multiply both sides by 10 and 1000 )

10x = 4.3939... → (1)

1000x = 439.3939... → (2)

Subtract (1) from (2) eliminating the repeating digits

990x = 435 ( divide both sides by 990 )

x = [tex]\frac{435}{990}[/tex] = [tex]\frac{29}{66}[/tex] ← in simplest form


Related Questions

If x / 2y = 0.4 , A / 5B = 0.25 Then A + y / 5 =….... ​

Answers

Answer:

[tex] \frac{x}{2y} = \frac{4}{10} \\ 8y = 10x \\ y = \frac{10x}{8} - - - - - 1 \\ \\ \frac{a}{5b} = \frac{25}{100} \\ \frac{a}{5b} = \frac{1}{4} \\ 4a = 5b \\ a = \frac{5b}{4} - - - 2 \\ \\ so \: \: \frac{a + y}{5} \\ = (a + y) \times \frac{1}{5} \\ = ( \frac{5b}{4} + \frac{5x}{4} ) \times \frac{1}{5} \\ = \frac{5b + 5x}{4} \times \frac{1}{5} \\ = \frac{5(b + x)}{4} \times \frac{1}{5} \\ = \frac{b + x}{4} \\ \\ so \: \: \: \frac{a + y}{5} = \frac{b + x}{4} [/tex]

Given that [tex]\frac{x}{2y} = 0.4 \ and \frac{A}{5B} = 0.25.[/tex] The value of equation [tex]\ \frac{A+y}{5} = \frac{x+10B}{40}[/tex]

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. The expressions may contain any constants, variables and algebraic operators.

Given the equations,

equation 1:

[tex]= \frac{x}{2y} = 0.4 = \frac{4}{10} \\\\= 10x = 80y \\\\= x = 8y\\\\=y = \frac{x}{8}[/tex]

equation 2:

[tex]\frac{A}{5B} = 0.25 = \frac{25}{100} = \frac{1}{4}\\ \\=4A = 5B\\\\=A = \frac{5B}{4}[/tex]

We need to find [tex]\frac{A + y}{5}[/tex],

putting the value of A and y in the equation,

[tex]= \frac{A + y}{5}\\\\=\frac{\frac{x}{8}+\frac{5B}{4} }{5} \\\\= \frac{x+10B}{40}[/tex]

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Which property of multiplication is shown?

g · (h · j) = (g · h) · j

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Associative Property

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The associative property would allow us to group numbers in any combination without changing the value of the product.In other words, the order of how three or more numbers are multiplied would not matter.

⸻⸻⸻⸻

[tex]\boxed{\text{Example:}}\\\\3*(4*5) = (3*4)*5\\----------------\\\rightarrow 3 * (20) = (12) * 5\\\\\rightarrow \boxed{60=60}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

16-32)
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
O 3x + 5y = -9
O 3x + 5y = 9
O 5x - 3y = -15
O 5x - 3y = 15

Answers

Answer:

the fourth option : 5x - 3y = 15

Step-by-step explanation:

the slope of the original line is given by the coordinate differences between the 2 points on the line.

remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.

so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.

therefore, the slope is -3/5.

the slope of a perpendicular line simply switched x and y. and the sign of the slope.

therefore the slope of the perpendicular line is 5/3.

and the line equation is

y = (5/3)x + c

to get c we need the point on the line (3, 0).

0 = (5/3)×3 + c = 5 + c

c = -5

y = (5/3)x - 5

3y = 5x - 15

3y - 5x = -15 or (after multiplying both sides by -1)

5x - 3y = 15

Identify the perimeter of the figure.

Answers

Answer:

20 + 7 + 10 + 26 + 24 + 12 + 16 + 7 = 122cm

The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?

A. 1994–1995

B. 1997–1998

C. 1998–1999

D. 1999–2000

Answers

The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Given that

In 1994-1995, the median income is 37,500 and 38,500.In 1997-1998, the median income is 39,700 and 41,000.In 1998-1999, the median income is 41,000 and 42,200.In 1999-2000, the median income is 42,500 and its less.

So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

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evaluate the following 3^2 divided by (2+1)

Answers

Answer:

God bless you

i don't have nice handwriting

40. What is (3) for the quadratic function
f(x) - 2x + x - 12?
A. -3
B. 3
C. 6
D 9

Answers

Answer:

c is right

Step-by-step explanation:

How many ten-thousands are there in these numerals? (a) 10650 (b) 21540 (C) 36907 (d) 74215 (e) 99999​

Answers

Answer:

a

Step-by-step explanation:

10650

it is ten thousand

any way is this choosing or question. in my answer I answer as it is choosing. if it is question let me know in comment. I will answer again in comment

a) There are only one ten thousand.

b) There are only one two thousand.

c) There are only three ten thousand.

d) There are only seven ten thousand.

e) There are only nine ten thousand.

What is rounding off?

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

Numbers are,

(a) 10650

(b) 21540

(C) 36907

(d) 74215

(e) 99999​

Now, Numbers of ten thousand are,

(a) 10650

= 10000 + 650

Hence, There are only one ten thousand.

(b) 21540

= 10000 + 10000 + 1540

Hence, There are only two ten thousand.

(C) 36907

= 10000 + 10000 + 10000 + 6907

Hence, There are only three ten thousand.

(d) 74215

= 10000 + 10000 + 10000 + 10000 + 10000 + 10000 + 10000 + 4215

Hence, There are only seven ten thousand.

(e) 99999​

= 10000 + 10000 + 10000 + 10000 + 10000 + 10000 + 10000 + 10000 + 10000 +9999

Hence, There are only nine ten thousand.

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A square has the same area as a rectangle whose
longer side is 2 times the length of its shorter
side. If the perimeter of the rectangle is 24, what
is the perimeter of the square?

A) 8 √2
B)16 √2
C)32 √2
D)32

Answers

Answer:

C) 32 * 2**1/2

Step-by-step explanation:

For rectangle P = L + W = 24 but L = 2W so

2W + W = 24

3W = 24

W = 8 and L = 2W = 16

A = L * W = 16 * 8 = 128

SO for the square with the same area

A = L * L = 128

L**2 = 128

L = 8 * 2**1/2

P = 4L = 32 * 2**1/2

42 deliveries in 3 hours = deliveries per hour

Answers

Answer:

14 deliveries per hour

Step-by-step explanation:

42/3

14

The person makes 14 deliveries per hour

Answer:

14

Step-by-step explanation:

42 / 3 = 14

Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.

Answers

Answer:

Commercials x = 7

Movies y = 2

Step-by-step explanation:

Let commercials = x

Let's movies = y

$40 is for commercials

$110 is for movies.

Commercials plus movies for the Year = 9

She earned total of $500

X+ y = 9..... equation 1

40x + 110y = 500.... Equation 2

Multipling equation one by 40

40x + 40y = 360

Subtracting equation one from equation 2

70y = 140

Y = 2

If y = 2

X + y = 9

X + 2 = 9

X = 9-2

X = 7  

Look at this rectangular prism:
If the height is quadrupled, then which of the following statements about its volume will be true?

Answers

C. The new volume will be 4 times the old volume. For example, if you fill a glass a little way, then next to it you pour liquid in the glass four times as high, there will be 4 times as much liquid (volume) in the second glass.

Answer:

the new volume Will be 4 times the old volume

Step-by-step explanation:

I have put the photo 3

Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?

Answers

Answer:

4000

Step-by-step explanation:

1 ton = 2000 pounds

2 tons = ? pounds

Multiply:

2000 × 2 = 4000

There will be 4000 pounds of crushed stone.

Hope this helped.

G I V E N :

Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?

S O L U T I O N :

Here, we need to convert the tons into pounds to get the desired result

According to the question :

We know that,

1 ton = 2000 pounds

2 tons = 2(1000 pounds) = 2000 pounds

Hence, she have 2000 pounds of crushed stone

Đặc tính nào sau đây KHÔNG PHẢI là đặc điểm của pháp luật:
a. Tính xã hội
b. Tính nhà nước
c. Tính giai cấp
d. Tính dân chủ

Answers

Please explain in english

Tell whether each order pair is a solution of the equation.

1. 2x+y=5 (2,1)

2. 4x-3y=10 (4,3)


helppp pls i don’t understand thisssss

Answers

Answer:

1.) (2,1) is a solution

2.) (4,3) is NOT a solution

Step-by-step explanation:

1.) (2,1)

These are these mean (x,y)

2=x and 1=y

You want to substitute the numbers for the letters in the equation.

so.

2(2)+1=5

4+1=5

5=5, This statement is true so (2,1) is a solution.

2.) Same as above. 4=x and 3=y

4(4)-3(3)=10

16-9=10

7 Does Not Equal 10, Therefore, (4,3) is Not a solution to the equation.

Find AC (Round to the nearest tenth) PLS HURRY

Answers

Answer:

Does the answer help you?

Given f (x) = -x + 2, find f(0).

Answers

Answer:

f(0) =2

Step-by-step explanation:

f (x) = -x + 2

Let x = 0

f(0) = -0+2

f(0) = 2

Answer:

f(0) = 2

Step-by-step explanation:

Substitute x = 0 into f(x)

f(0) = - 0 + 2 = 0 + 2 = 2

If n(A) = P and n(B)=q then n(AxB) is (a ) p (b ) q ( c ) p+q ( d ) pq

Answers

By way of example, suppose A = {1, 2, 3} and B = {a, b, c}. Then the Cartesian product of A and B is

A × B = {{1, a}, {1, b}, {1, c}, {2, a}, {2, b}, {2, c}, {3, a}, {3, b}, {3, c}}

That is, each element in A gets a pairing with each element in B, and for each pairing you have n(A) choices for the first element and n(B) choices for the second element.

So if n(A) = p and n(B) = q, then n(A × B) = pq.

Find the coordinate of J' after a reflection of the triangle about the y-axis. Write your answer in the form (a,b)

Answers

Answer:

A (3,3)

J (5,2)

L (0,0)

Step-by-step explanation:

.........................

Not looking for answer but does anyone know this specific topic in math

Answers

Answer:

This is called system of equations.

Step-by-step explanation:

This combines two equations and then lines them up to a system.

Answer:

Step-by-step explanation:

 

  matrix

     or

vector geometry

please help:

give an example of an undefined term and how it relates to a circle.​

Answers

It is the set of all points in a plane that are at a given distance from a fixed point.

I have 4 more quarters than dimes and 3 less pennies than dimes. What is the value of my coins, in cents

Answers

Answer:

There are infinite answers

Step-by-step explanation:

brianna practices the panio 30 minutes each day write an expression for the number of hours she practises in d days

Answers

x=hours practiced
d=days practiced

x=1/2(d)

Help please with my geometry

Answers

X is equal to 4

Because RS + ST=RT
So basically x+3x=5x-4
4x=5x-4
-4x -4x
-1x=-4
x=4

Geometry, please answer question ASAP

Answers

BECAUSE ACCORDING TO THE PERIMETER (TRIANGLE ) FORMULA = B * H / 2.

B = BASE.

H = HEIGHT.

THE HEIGHT IS A VARIABLE VLAUE NEEDED IN ORDER TO ONTINUE TO SOLVE AND EVENTUALLY LEADING TO THE ANSWER (TRIANGLE PERIMETER.

If S=4πr² , find
i) the value of S when r = 10

Answers

Answer:

S = 1256

Step-by-step explanation:

S = 4[tex]\pi[/tex][tex]r^2[/tex]

S = 4[tex]\pi[/tex][tex](10)^2[/tex]

S = 4[tex]\pi[/tex][tex](100)[/tex]

S = [tex]4(314)[/tex]

S = 1256

Answer:

400pi, or 1256.637...

Step-by-step explanation:

S = 4pir^2

S = 4pi(10^2)

S = 4pi(100)

S = 400pi

multiply the monomials :
a) a³ , -6 a² b and 2 b³
b) 16 x⁶ , -10 xy² and 3/5 x² y²
c) -4 p² q² and 3/8 pq²

Answers

here we want to multiply different monomials, the particular important thing about this problem is learning how to simplify these multiplications.

Here we need to remember the property:

[tex]a^n*a^m = a^{n + m}[/tex]

Now we want to directly multiply the monomials:

a) a³ , -6 a² b and 2 b³

Here we just have:

[tex]a^3*(-6*a^2*b)*(2*b^3)[/tex]

Let's reorder that, so we can separate the variables and the coefficients, so then we can use the above property to solve this:

[tex]a^3*(-6*a^2*b)*(2*b^3) = (-6*2)*(a^3*a^2)*(b*b^3) = -12*a^5*b^4[/tex]

b) 16 x⁶ , -10 xy² and 3/5 x² y²

Like before, we want to simplify:

[tex](16*x^6)*(-10*x*y^2)*(\frac{3}{5}*x^2*y^2)[/tex]

Again, reordering that we get:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2)[/tex]

Now solving each parenthesis:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2) = -96*x^{6 +1 + 2}*y^{2 + 2}[/tex]

Simplifying the last expression we get:

[tex]-96*x^{6 +1 + 2}*y^{2 + 2} = -96*x^9*y^4[/tex]

c)  -4 p² q² and 3/8 pq²

Here we want to simplify:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2)[/tex]

Using the same approach as before, we will get:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2) = (-4*\frac{3}{8})*(p^2*p)*(q^2*q^2) = \frac{-3}{2}*p^3*q^4[/tex]

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I need help please ASAP Ik how to do it its easy but I wanna make sure so please help

Answers

Step-by-step explanation:

Answer in attached picture...

hope it helps

Which function is the inverse of 6) = 2x+39
ASAP

Answers

Answer:

The inverse is 1/2x - 3/2

Step-by-step explanation:

y = 2x+3

To find the inverse, exchange x and y

x = 2y+3

Solve for y

x-3 =2y+3-3

x-3 = 2y

Divide by 2

1/2x - 3/2 = 2y/2

1/2x - 3/2 = y

The inverse is 1/2x - 3/2

There is a $30 fee to rent a tool from the local hardware store plus $6 per day. If Joe rents a jackhammer for 5 days, what is his total bill? The correct function for this situation is f(x) = 30x + 6.
O False
O True

Answers

The answer is false because the 30 and 6 would be in each other’s place
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