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.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Related Questions

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.

y=-2x-5
y = 2x - 2
Choose 1 answer:
3
1
A
4
3
1
С
=1
3
Y
4
3
(o
4)
y
of
5
3
2
1
-6 5 4 3 2
1 2 3 4 5 6
-2
-3
--5-

Answers

Answer:

thi dhany kar rahe the aur man apane ghar men hi the jinhone apani bat ko lekar bhi

A triangular prism has a volume of 400 cubic inches. The area of base is 25 square inches What is the height of the prism?​

Answers

h= 16 in
because h=V
AB=400/25=16in

A team manager buys a team jacket and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $10.70. The team manager spends a total of $293 for the team jackets and team cups. Enter an equation that models the situation with u, the cost of one team jacket.

Answers

Answer:

293/10=u

thats the equations

At what point do the graphs of the lines y=9x+2 and y=-3+12 intersect?

Answers

Answer:

(0.8333, 9.5)

Step-by-step explanation:

set them equal

9x+2=-3x+12

12x=10

x=0.8333

plug x into the equation

9(0.8333)+2 = 9.5

-3(0.8333)+12 = 9.5

Answer:

(5/3,17)

Step-by-step explanation:

If your second equation is y=-3x+12 your answer will be (5/3,17)

Write 4/3 as a mixed number

Answers

Answer:

1 1/3

Step-by-step explanation:

it’s 1 1/3 because you need 3/3 to make one whole and beside the extra is the one

Okay, so.. y'know those angle thingys? Like.. how they have a circle in the corner of let's say a triangle or a little square in the corner of it? What are those called and what's their degrees?

Answers

Answer:

im pretty sure it's called a right angle or right angle quadrant

Step-by-step explanation:

if it's a square in a corner of a triangle then it is a right angle and the degrees would be 90

correct me if i'm wrong

Hope this helps! :)

PLEASE HELP

what is 74 × 12

please show your work

(I'm giving out easy points dont be sad if you didn't get points on this one, I'll be posting a lot of them so no worries)​

Answers

the answer is 888 pls mark me as brainlist

The receipt below shows the money, in dollars, spent by a customer at the good groceries stores

Answers

C. Good groceries charges 1.20 dollars per kilogram of lettuce. Hope this helps!!

If the total number of people attending the game was 64,000, how many people were
supporters of the home team?
A 12,800
B 38,400
C 48,000
D 51,200

Answers

Is this the whole question ?

The sun of the bases of a parallel trapezoid is 38.5 feet. What would be the height of the trapezoid if the area is 269.5 square feet?

Answers

Answer:

14 or the other possible answer could be 7 if you have any of those answers I hope I helped i'm really sorry if you were waiting also good spring break. :)

Step-by-step explanation:

find the value of find the value of a -7 when a equals 19 ​

Answers

Answer:

12

Step-by-step explanation:

You have to substitute a by 17 and then just subtract.

Tims piggy bank contains nickels and quarters worth $6.70. He has 62 coins in all. How many of each coin does Tim have?

Answers

Answer:

well you see it really

Step-by-step explanation:

On Monday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

136 hamburgers

Step-by-step explanation:

Create an equation where x is the number of hamburgers sold.

The number of cheeseburgers sold can be represented by 3x, since it was 3 times the number of hamburgers.

3x + x = 544

Solve for x:

4x = 544

x = 136

So, 136 hamburgers were sold on Monday

The weights of gala apples follow a Normal distribution with a mean of 140 grams and a standard deviation of 12 grams. The owner of an apple orchard randomly selects 5 apples from the harvest and records the mean weight. What is the shape of the distribution of the sample mean for all possible random samples of size 5 from this population?

Answers

Answer:

The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

What is the shape of the distribution of the sample mean for all possible random samples of size 5 from this population?

By the Central Limit Theorem, the shape is approximately normal.

Mean is [tex]\mu = 140[/tex]

Standard deviation is [tex]s = \frac{12}{\sqrt{5}} = 5.37[/tex]

The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.

What is the percent change of 82 to 67

Answers

Answer:

-18.3

Step-by-step explanation:

-18.92 if you need it to be rounded up

4 163-2 492
8. Find the product of:
a) 123 x 34​

Answers

Answer:

4182

Step-by-step explanation:

Convert:
5 meters 10 centimeters
centimeters

Answers

500.0000 should be right

Answer this page: BIG REWARD GRANTED

Answers

Whats the big reward

Answer:

I don't even get what you want us to do

Step-by-step explanation:

A ball is tossed at a hole in a board. The ball goes into the hole 15 times and misses the hole 52 times.

Based on this experiment, what is the probability that the ball will go into the hole when tossed?

Enter your answer in the box as a percent rounded to the nearest whole number.

Answers

Probability (Ball goes into hole) = 0.22388 or 22.388%

Step-by-step explanation:

Given:

Ball goes into hole = 15 times

Ball miss the hole = 52 times

Find:

Probability (Ball goes into hole)

Computation:

Total number of tries = 15 + 52

Total number of tries = 67

Probability (Ball goes into hole) = 15 / 67

Probability (Ball goes into hole) = 0.22388 or 22.388%

Pls help will mark a brainliest

Answers

What is your question????

Answer:

Where is your question

Step-by-step explanation:

so it says to show your work .
I don't know how to do this ​

Answers

Answer:

Did not let me say app names lol

Answer:

i think its this one (x−30)(x+3)

Find the area of the kite.

Answers

Answer:

Step-by-step explanation:

width of kite=2[√(17²-15²)]=2√(289-225)=2√64=2×8=16

area of kite=(22×16)/2=176 sq. units

find the value for 0 for each. sin(55)=cos(0)
I NEED ASAP PLEASE

Answers

Answer:

sorry need point

Step-by-step explanation:

Answer:

sin (55) = cos (35)

sin (62) = cos (28)

Hope that this could help!! (▰˘◡˘▰)

The value of a particular investment follows a pattern of exponential growth. In the year 2000, you
invested money in a money market account. The value of your investment t years after 2000 is
given by the exponential growth model A = 5900e0.059t By what percentage is the account
increasing each year?
A) 6.6%
B) 6.5%
C) 6.3%
D) 5.9%

Answers

Answer:

b

Step-by-step explanation:

Mr. Ramone brought home 1/2 of an apple pie from work. He wants to share the apple pie equally among six friends. What is the amount of pie that each six people will receive.

Answers

Answer:

0.08

Step-by-step explanation:

2. Write the equation of the line parallel to y = -4x/3 + 5 thru (-6,1). Show all work.​

Answers

Answer:

[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]

Step-by-step explanation:

We can find the equation using the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point and m is the slope.

We already know the point is (-6,1). We must find the slope.

We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3

Next, define values for the variables.

[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]

Substitute the values into the formula.

[tex]y-1= - \frac{4}{3} (x--6)[/tex]

[tex]y-1= - \frac{4}{3} (x+6)[/tex]

Now put the equation into the form y=mx+b. First, distribute the -4/3 .

[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]

[tex]y-1= - \frac{4}{3} x - 8[/tex]

Add 1 to both sides to isolate y.

[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]

[tex]y= - \frac{4}{3} x -7[/tex]

The equation of the line is y=-4/3x -7

Blueberries at a farmers' market
cost $18 for 6 pounds. Jerome pays
$24.75 for blueberries to make pies.
How many pounds of blueberries did
he buy?
pounds

Answers

Answer:

8.25 pounds

Step-by-step explanation:

Its $3 per pound, so 24.75/3= 8.25

Answer: 8.25 lbs.

Steps:

18 / 6 = 3 dollars per pound

24.75 / 3 = 8.25

Lincoln went to the grocery store and purchased cans of soup and
frozen dinners. Each can of soup has 250 mg of sodium and each
frozen dinner has 550 mg of sodium. Lincoln purchased a total of 13
cans of soup and frozen dinners which collectively contain 4450 mg of
sodium. Determine the number of cans of soup purchased and the
number of frozen dinners purchased.

Answers

Answer:

9 cans of soup and 4 frozen dinners

Step-by-step explanation:

6
Triangle MNP and triangle JKL are similar right triangles.
K к
L
р
Which proportion can be used to show that the slope of IL is equal to the slope of MP?
A 0 - (-7)
4- (-4)
-4 - (-10)
8- (-1)
C 0 - (-4)
4- (-7)
-4-(-1)
8- (-10)
B
0 - 4
4-(-7)
--4-8
- 1 - (-10)
D4=(27) = -1-(-10)
4 - 8

Answers

Answer:

its b

Step-by-step explanation:

The proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))

How to determine the proportion that can be used to show that the slope of JL is equal to the slope of MP?

From the question, we understand that triangle MNP and triangle JKL are similar right triangles.

This means that triangle MNP and triangle JKL have the same slope


From the figure, we have the following coordinates of the triangles

J = (-7, 4)

L = (-4, 0)

M = (-10, 8)

P = (-1, -4)

The slope is calculated as

Slope = (y2 - y1)/(x2 - x1)

So, we have

JL = (0 - 4)/(-4 - (-7))

Also, we have

MP = (-4 - 8)/(-1 - (-10))

Equate both equations

So, we have

(0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))

Hence, the proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))

Read more about slope at

https://brainly.com/question/3493733

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The dimensions of a rectangular crate are 6 feet, 8 feet, and 10 feet. What is the
volume?

Answers

Answer:

480

Step-by-step explanation:

The formula is L*W*H

6*8*10=480

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