convert the following recurring decimal to a rational number 0,72​

Answers

Answer 1

Answer:

The repeating decimal 0. 72 can be written as a ratio of two integers with numerator 8 and denominator 11 as the numerator and denominator, respectively. As a result, it is a logical number (named after ratio). If a number's decimal representation repeats or terminates, it may be seen to be rational.

Step-by-step explanation:

0.72 equals 8 /11

as a fraction.

How do you turn 0.72 repeating into a fraction?

Detailed Answer:

Step 1: To convert 0.72 repeating into a fraction, begin writing this simple equation:  

n = 0.72 (equation 1)  

Step 2: Notice that there are 2 digits in the repeating block (72), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.  

100 × n = 72.72 (equation 2)  

Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.  

100 × n = 72.72

 1 × n = 0.72

99 × n = 72  

72 /99

could be the answer, but it still can be put in the simplest form, i.e., reduced.  

To simplify this fraction, divide the numerator and denominator by 9 (the GCF - greatest common factor).  

n = 72

99  = 72 ÷ 9

99 ÷ 9  = 8  11 .

So,   0.72 = 8 /11

as the lowest possible fraction.

_____________________________________

(hope this helps can i plz have brainlist :D hehe)


Related Questions

Which graph COULD represent the table of values?
A)a
B)b
C)c
D)d

Answers

Answer:

Option 2 or B

Step-by-step explanation:

B, if you look at the data table, you can notice that x and y are decreasing (therefore going down). I hope this helps?

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

1,908.5

Step-by-step explanation:

Add 1900 + 1917 and divide by two

1900+ 1917 = 3817

3817 divided by 2 = 1908.5

Any help? I need to describe the change of the equation, in terms of it getting thinner (>) or wider (<). I don't exactly understand how to do this, can anyone explain? ​

Answers

9514 1404 393

Answer:

  no change to the width of the curve

Step-by-step explanation:

Your terminology and use of symbols (>, <) are unusual, so we're not sure what your question is.

The equation represents a transformation of the parent function

  y = x²

The transformation (replacing x with (x-4)) is a translation right 4 units. This can be seen in the attached graph. The "parent function" is shown in red. Your function is shown in blue.

Nothing about this transformation changes the width of the curve, so it is neither thinner nor wider than it was originally. The description usually used if the curve is narrower or wider is "horizontal compression" or "horizontal expansion."

The curve does get wider for larger y-values. It is said to "open upward".

__

Additional comment

The symbols < and > stand for "is less than" and "is greater than", respectively. They are occasionally used as "angle brackets" to identify vectors or tokens of one sort or another. Sometimes, they are used to signify an angle when the appropriate ∠ symbol is not available. This is the first time in many years of studying math that I have seen them in the context of "thinner" and "wider."

PLEASE HELP I NEED THIS TO GET MY GRADE UP

Answers

Answer:

[tex]y = 4.5x[/tex]

Step-by-step explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) =(2,9)[/tex]

[tex](x_2,y_2) =(6,27)[/tex]

So, we have:

[tex]m = \frac{27 - 9}{6 - 2}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

Next, the equation is calculated using:

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

So, we have:

[tex]y = 4.5(x - 2) + 9[/tex]

Open bracket

[tex]y = 4.5x - 9 + 9[/tex]

[tex]y = 4.5x[/tex]

I need helpppppppp :(

Answers

Answer:

The blank for the computers will be 20 because they are multiply each number by 2. The top blanks will be 4 and 16

Step-by-step explanation:

Hey can someone please help me with this?
I can’t exactly figure it out.
Thank you in advance.

Answers

Answer:

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 1/4

at least two tails - 1/2

Step-by-step explanation:

8 Possible outcomes

hhh, hht, hth, htt, ttt, tth, thh, tht,

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 2/8=1/4

at least two tails - 4/8=1/2

PLEASE PLEASE PLEASE! WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! Really wanna get this over with only 1 more question after this

Answers

Answer: 621.72 in^3
V=pir^2h
3^2=9x22= 198x3.14
621.72

Required volume=352π or 1105.84in³

Answer:

solution given.:

radius of outer rim[R]=5in

radius of inner rim[r]=3in

height[h]=22in

we have

volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)

=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³

After sitting out of a refrigerator for a while, a turkey at room temperature (69°F) is
placed into an oven. The oven temperature is 300°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = Ta + (T. – T.)e-kt
Tg = the temperature surrounding the object
To = the initial temperature of the object
t= the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 127°F after 3 hours. Using this information,
find the value of k, to the nearest thousandth. Use the resulting equation to
determine the Fahrenheit temperature of the turkey, to the nearest degree, after 5
hours.
Enter only the final temperature into the input box.

Answers

Answer:157

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

I think it is the first one NOQ AND MLJ

A) 113
B) 92
C) 133
D) 117

Answers

D) 117
Because the 117 is opposite the variable

The National Center for Health Statistics reported that of every 1,008 deaths in recent years, 34 resulted from an automobile accident, 202 from cancer, and 358 from heart disease. What is the probability that a particular death is due to an automobile accident

Answers

Answer:

0.0337 = 3.37% probability that a particular death is due to an automobile accident

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a particular death is due to an automobile accident?

Total of 1008 deaths.

34 resulted from an automobile accident. So

[tex]p = \frac{34}{1008} = 0.0337[/tex]

0.0337 = 3.37% probability that a particular death is due to an automobile accident

Find an ordered pair (x,y,) that is a solution to the equation.

3x - 7 = 4

Answers

Answer: x=11/3

Step-by-step explanation:

Maria noticed that a fork in the road created 3 angles. If two angles are as shown, what is the measure of angle x?
А
135°
00
140°
с
145°
D
150°

Answers

answer: C



explanation: can i have brainilestv

The measure of angle x will be 145° so option (C) will be correct.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance. For instance, a meter or an inch is a unit of measurement for linear motion.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle all around the line is 360°.

The angle 165°, 50°, and x consist total of 360°.

165 + 50 + x = 360

x = 145°.

So the angle of x will be 145°.

For more about the angle

brainly.com/question/13954458

#SPJ5

Alice makes 32 of her 40 free throws during practice. Which teammate has a higher probability of making a free throw during practice?

Answers

Answer:

Step-by-step explanation:

B dawn made 45 out of 50 free throws

fractions equivalent to 8/4?

Answers

Answer:

2/1 4/2 6/3 10/5 12/6 14/7 16/9 18/9

Step-by-step explanation:

Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta​

Answers

Answer:

5/13

Step-by-step explanation:

1. We are given tan(x)=5/12 .....(2)

2. On comparing the quantities we get that p=5 and b=12

3. We require the value of hypotenuse(h),

for this we apply the Pythagoreum theorum: p^2+b^2=h^2

⇒h^2=5^2+12^2

⇒h^2=25+144

⇒h^2=169

⇒ h=√169

⇒ h=13

Sin=p/h

p=5

h=13

Sin=5/13

Suppose the diameter of a circle is 16 units what is the circumference?

Answers

Answer:

Step-by-step explanation:

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

16 = diameter

Circumference = Diameter * pi

Sometimes the teacher may want you to round pi to 3.14...

In that case do 16 * 3.14 = 50.24

Will choose brainlies plsss help

Answers

Answer:

Its c enjoy

Step-by-step explanation:

Find the interquartile range of the data. 4,6,4,2,9,1,12,7

Answers

Answer:

5

Step-by-step explanation:

1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.

2.)  Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.

3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).

4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).

5.) Now, subtract both interquartiles. This should give you your answer (5).

The top of a coffee table is in the shape of a rectangle. The length of the top of the coffee table is 3.5 feet and the area is 10.5 square feet. What is the width of the coffee table?​

Answers

Answer:3

Hope this helps

What is the volume of a cube with a side length of 2/5 cm?

Answers

What is the volume of a cube with a side length of 2/5 cm? 0.4 cm

Answer:

8/125 cm³

Step-by-step explanation:

(2/5)³=2³/5³

= 8/125 cm³ or 0.064

if a 4.0 cm X 5.5 cm photo is enlarged so that is length is 8.5 what s the new width?

Answers

Answer:

6

Step-by-step explanation:

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

$230.04

Step-by-step explanation:

216 * 0.065= 230.04

-5x+3y-3x+2y show work please

Answers

To solve this, just add like terms. 3y+2y=5y; -5x+-3x=-8x. So, the answer is -8x+5y or 5y-8x.

help me and I’ll give you brainliest

Answers

Answer:

50m

Step-by-step explanation:

The triangles are similar, so their sides are in ratio:

BC/BE=AD/ED

j/46=25/23

j=(25/23)(46)=50

please help me out hereeeeeeeeeeee

Answers

Answer:

divide by 1k

Step-by-step explanation:

Answer:

Option B:

Multiply by 1,000

Step-by-step explanation:

Since,

1 litre = 1000ml

Hence,

3.2 litre = 3.2 × 1000 ml = 3200 ml

So,

Option B that is to Multiply by 1000 is correct.

What is the position of the term 301 in the sequence defined by 3n + 1

Answers

Answer:

n=100

Step-by-step explanation:

3n+1=301

3n=300

n=100

Because Aaron, age 32, is a smoker, he must pay more for life insurance. Given that Company A charges 20% more for smokers, Company B charges 18% more for smokers, Company C charge 25% more for smokers and Company D charges 15% more for smokers, Aaron decides to buy his $250,000 policy from Company B. Which of the following statements is true? A 5-column table with 3 rows titled Annual Insurance Premiums (per 1,000 dollars of face value) 10 year term. Column 1 is labeled age with entries 30, 31, 32. Column 2 is labeled Company A with entries 1.30, 1.57, 1.86. Column 3 is labeled Company B with entries 1.29, 1.55, 1.86. Column 4 is labeled Company C with entries 1.40, 1.64, 2.07. Column 5 is labeled Company D with entries 1.49, 1.88, 2.25. a. Aaron is paying the smallest premium possible with Company B. b. Aaron is paying $93 more in premiums than he would with Company A. c. Aaron is paying $129 more in premiums than he would with Company C. d. Aaron could have chosen any company because the premiums are all the same.

Answers

Answer:

d. Aaron could have chosen any company because the premiums are all the same.

Step-by-step explanation:

Going by the age of Aaron and the percentages charged by the various company due to smoking, it is safe to conclude that, the premiums are all the same. This could be seen in the table of column and rows which shows the annual insurance premiums (per 1,000 dollars of face value) over a 10 years term. The variation helps to show that, when the premium is evaluated, the are all the same.

Answer:

A

Step-by-step explanation:

WILL GIVE BRAINLYIST
what is 2+2x4(6+5)-7

Answers

Answer:

83

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Hail Hydra

Identify the most reasonable unit to measure the volume of a neighborhood

Answers

Answer:

I think you mean area, but acres

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