express 0.23 (bar) in the form of p/q

Answers

Answer 1

Answer:

[tex]0.\overline{23}= \frac{23}{99}[/tex]

Step-by-step explanation:

Let [tex]x = 0.\overline{23}[/tex]....(1)

Multiply both sides by 100.

[tex]100x = 23.\overline{23}[/tex]....(2)

Subtracting equation (1) from equation (2)

[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]

[tex]\implies 99x= 23[/tex]

[tex]\implies x= \frac{23}{99}[/tex]

[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]


Related Questions

the ratio of the 6th and 8th term of an ap is 7:9. find the ratio between the sum of its first 10 terms to sum of its first 20 terms

Answers

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer:

see analysis for detailed explanation

a/b x 8c
when a=2/3
b=1/2
c=3/4

Answers

I believe the answer is 8

Find the arc length of the partial circle.

Answer in terms of π or use 3.14, and enter your answer as a decimal.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 9 \times { \pi}{} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 9\pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 9 \times 3.14 = 28.26 \: \: units\dfrac{ }{} \: \: [/tex]

Radius=9Angle=π

Arc length

L=r[tex]\theta[/tex]L=9πL=28.3units

For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0". ​47, 31, 84, 50, 68, 85, 67, 56

Answers

Answer:

Mean: 54
Median: 61.5
Mode: 0
Range: 54

Step-by-step explanation:

Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)

Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5

Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)

Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)

How do I graph n>8 on a number line.

Answers

Answer:

Math-Graphing Inequalities on a Number Line (the basics)

Step-by-step explanation:

Your brother is twice as tall as your sister.
A player scored 5 less points than Rodger.
8 fewer than the sum of 14 and a number

Answers

What’s the question

If q is inversely proportional to p and q =120 and p=2

Answers

Answer:

complete your question please

A circular flower bed in a botanical garden has a radius of 4 feet. what is the area of the flower bed? use 3.14 for π . enter your answer to the nearest hundredths place in the box. question 7 options:

Answers

Area of a circle is radius squared•pi. 4squared is 16. 16•3.14=50.24

The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circular flower bed in a botanical garden has a radius of 4 feet.

Then the area of the flower bed will be

Area = π r²

Area = π × 4²

Area = 16π

Area = 16 × 3.14

Area = 50.24 square feet.

More about the circle link is given below.

https://brainly.com/question/11833983

If P={a,b,c} and Q={r}, form the sets PUQ?

Answers

P={a,b,c}
Q={r}
PuQ is simply means combining them without repeating the same values
For example if
A={1,2} and b={1}
AuB= {1}
So now for this question
PuQ={a,b,c,r}
Hope this helps
Have a great day

b) In a survey among 65 people about their favourite fruits, it was found that the number of people who like mango is twice the number of people who like orange. If 10 people like both fruits and 15 do not like any of them, using Venn diagram find the number of people who like (i) Mango only, (i) Orange . ככה swer 10​

Answers

Answer:

i}. Mango only (no(M))=30

ii}.Orange (n(O))= 20


Kareem rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 91 cents for each mile driven. Kareem had to pay
$206.36 when he returned the truck. For how many miles did he drive the truck?

Answers

The answer is d I did it in edinuity and got it right

HELP I NEED TO TURN IN TOMORROW

ken says that 9138 rounded to the nearest thousand is 9,100 because 3 is less than 5

what might be Ken's misunderstanding about rounding _________?
help ken correct his misunderstanding ______________________________?

Answers

Answer:

Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So  you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000

Step-by-step explanation:

i do not know this answer

Answers

18.85 i don’t feel like explaining just trust me

A movie theater charges $10.50 per ticket and $5per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Yes they are proportional

Answer:

A- yes

Step-by-step explanation:

If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.

Find the area of the trapezoid.
8 cm
6 cm
13 cm
A. 78 cm2
B. 48 cm2
C. 63 cm
D. 104

Answers

Answer:

c; 63 square cm

Step-by-step explanation:

the area of a trapezoid can be described by the equation a = (1/2)(h)(b1 + b2)

this means the height times base 1 and base 2 added together divided by 2

(1/2)(6)(8 + 13) is the equation

this can become 3(21)

which is ultimitaly 63

Answer:

it's gonna be 63cm^2

Step-by-step explanation:

First, were gonna find the area of the rectangular portion, which is 8x6, which is 48cm^2

Next, well do the triangle part. So, we have to subtract 13-8 to get the width of the triangle.

Next, we have to find the area for the triangle. The formula is length x width / 2.

So, we have to multiply 6x5 to get 30.

Then, well divide it by 2, which will give us 15cm^2

Finally, we add the areas of rectangle and the triangle together. 15 + 48 is 63.

Bada-bing, bada-boom, we got 63cm^2 as our answer :)


One side of Dylan's
square bedroom is 10
feet long
What is the
total perimeter of
Dylan's bedroom?

Answers

Answer:

40

Step-by-step explanation:

10+10+10+10 = 40

A square has 4 sides which is why you add 10, 4 times.

25% of z is 150. Find the value of z.
(Can y’all show your work on this so I know how you got it)

Answers

The answer is 600
25 x 4 =100
150 x 4 = 600
checking work
.25 x 600= 150

Answer:

z = 600

Step-by-step explanation:

Method 1 - ratios

If 150 is 25% then z is 100%:

[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]

Method 2

Calculate the amount for 1%, then multiply by 100% to find z:

25% = 150

⇒ 1% = 150 ÷ 25 = 6

⇒ z = 100% = 6 x 100 = 600

3. The principal wants to know if students at Meadows Senior High School are in favor of a new dress code at their
school. The principal is not able to ask the opinion of every student at the school, so she needs to select an
appropriate sample of the students to represent the high school. Select which sample of students the principal
should choose.
A. Students randomly selected from a list of all students at the school.
B. Students sitting at randomly selected tables in the library.
C. Students she selects from the hall way between classes.
D. Students selected by the teachers.

Answers

Answer:

(A)

Step-by-step explanation:

(D) is already out since the teachers may have favorites or unfavorites.

(C) is already out since you can't be in all the halls at once.

There is only (A) and (B).

I think it's (A) and not (B) because it might not be a classes/grades library day.

B.Students sitting at randomly selected tables in the library

I need help answering this

Answers

Answer: 80%

Step-by-step explanation:

or 85% but i think its 80%

Scaling factors! Help!

Answers

Answer:

x=15
y=2

Step-by-step explanation:

the scale factor is 6:1

if you divide 12 by 6 you get 2
so y=2

if you multiply 6 by 2.5 you get 15
so x=15

What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?

Answers

Answer:

The answer is 24 cm.

Step-by-step explanation:

Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 = c

10 = c.

Hope this helps!

Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit
rule for the sequence in simplified form? what is the recursive rule?

Answers

The explicit rule for the sequence in simplified form is y = 30000(2)^n

How to write the exponential function

The standard exponential equation is expressed as:

y = ab^n

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Substitute the parameters

y = 30000(2)^n

Hence the explicit rule for the sequence in simplified form is y = 30000(2)^n

Learn more on explicit rule here: https://brainly.com/question/2059043

Answer: Explicit Rule: a_n=30,000 • 2^n-1 Recursive Rule: a_n = 2a_n-1; a_1 =30,000

Step-by-step explanation: the Explicit Rule for a geometric sequence is a_n = r • a_n -1 and the Recursive Rule is a_n = a_1 • a_n-1

a_1 is the first term and r is the common ration. In this case, the first term is 30,000 as stated in the question and the common ration is 2 since it doubles each time. So substitute those numbers into the formulas and that’s what you’ll get! Hope this helps! God bless you all!!

I need help on this question

Answers

Answer:

Step-by-step explanation:

help me, please??????

Answers

Answer:

B

Step-by-step explanation:

The slope of this function is obviously decreasing, and the point where it intersects the y axis, is (0,-2)

Answer B contains this information

Hope this helps!

Tony cut a piece of string 90 cm long into three in the ratio of 2:5:3.What is the length of the medium piece?

a. 18cm b. 24cm c. 27cm d. 45cm

Answers

Answer:

D

Step-by-step explanation:

We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.

Left piece : 2 x 9 = 18 cm

Middle piece : 5 x 9 = 45 cm

Right piece : 3 x 9 = 27 cm

D is the correct answer.

I hope this helps and please mark me as brainliest!

Hello people ~
Help me with the question attached above.
Thanks in advance!!​

Answers

Step-by-step explanation:

radius = 10 cm

volume = v

height h cm

[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]

hope it's helpful thanks

Please answer this with an explanation

Answers

Answer:

35 feet

Step-by-step explanation:

when the flare is fired , time t = 0

substitute t = 0 into the equation

f(0) = - 10(0)² + 60(0) + 35 = 0 + 0 + 35 = 35

Answer:

the correct answer would be 35  feet

Step-by-step explanation:

hope this helps

Expand & simplify
4
(
2
p
+
2
)
+
6
(
2
p

3
)

Answers

Answer:

The answer is 20p – 10 or 10(2p – 1)

Step-by-step explanation:

4(2p + 2) + 6(2p − 3)

8p + 8 + 12p – 18

20p – 10 or 10(2p – 1)

The sum of two numbers is eighteen. The total of three times the smaller and twice the
larger is 44. Set up and solve and algebraic equation to find the two numbers.

Answers

Answer:

x=8 y=10

Step-by-step explanation:

x+y =18        x=(18-y)

3(18-y) +2y =44

54-3y+2y =44

54-y =44

-y=-10

y=10

                                     x+10=18

                                      x=8

In January, Mr. Cooper started a new exercise plan weighing 200 pounds. In March, he found his weight had increased by 5% because the exercise had increased his muscle mass. He added some work on the treadmill to his exercise routine found in May that he had dropped 6% from his March weight.

Answers

Step-by-step explanation:

100%+5%=105%

105/100*200=210

100%-6%=94%

94/100*210

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