show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0​

Answers

Answer 1

Answer:

[tex] 2.373737....=\frac{235}{99}[/tex]

Step-by-step explanation:

[tex] 2.373737....=2.\overline{37}[/tex]

[tex] Let\: x=2.\overline{37}...(1)[/tex]

[tex] \therefore 100x=237.\overline{37}...(2)[/tex]

Subtracting equation (1) from equation (2), we find:

[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]

[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]

[tex] \therefore 99x=235[/tex]

[tex] \therefore x=\frac{235}{99}[/tex]

[tex] \implies 2.373737....=\frac{235}{99}[/tex]


Related Questions


Help me it says use the figure for 1 and 2











Answers

C is the right answer

Can someone plz help me find the vertex and the stretch factor

Answers

Answer:

(1,-25)

Step-by-step explanation:

I believe the answer is (1,-25) because when the function is graphed the vertex is at the point x=1 y=-25

The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions. Show your work as proof.

a. How many days did it take, if the number of ice cream sales is $40?

b. How much ice cream was sold on day 8?

Answers

Step-by-step explanation:

y = 3(40) + 2y = 120 + 2y =122.

Write equation of a line through the points (4,2) and (6,-4)

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -4-2/6-4

m= -6/2

m=-3

then use point slope formula (y-y1) =m(x-x1)

(y-2) = -3(x-4)

simplify

y-2 = -3x - 4

turn into slope intercept form

y = -3x - 2

If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant?

pls help c:

Answers

B) 1/9

[tex]\\[/tex]

[tex]\large\mathfrak\red{\underline{Step\:by\:step \:explanation}}[/tex]

[tex]\dashrightarrow[/tex]There are 2 (L and Z) consonants out of 6 letters.

[tex]\\[/tex]

[tex]\red\bigstar[/tex]The probability of getting a consonant

[tex]\pink\implies[/tex] 2/6 = 1/3

[tex]\\[/tex]

[tex]:\red\implies[/tex]When we spin the spinner second time, we will get the same probability

= 2/6 = 1/3

[tex]\dashrightarrow[/tex]The probability that the spinner will stop on a consonant then again on a consonant

= 1/3 x 1/3

= 1/9

[tex]\red\bigstar\mathfrak \pink{Therefore, the \: answer \: is \: B) 1/9}[/tex]

[tex]\rule{300px}{.7ex}[/tex]

[tex]\large\tt\purple{\underline{ElegantLavender~}}[/tex]

Option B is correct - 1/9

Find the area of the shaded region. Round your answer to the nearest tenth.

PLS HELP

Answers

You have to find the area of the circle and then subtract it from the area of the rectangle and the area of the rectangle is 1120 and then the area of the circle is 113.04? I think. So then I think it would be 1006.96

A=1006.96

On January 1, Mario had a savings account balance of $2742 and by April 1, his balance had increased to $3597. Find Mario's average savings rate in dollars per month for that period.

Answers

Answer: $285

Step-by-step explanation:

First and foremost, we should note that from January 1 to April 1 is 3 months. Since Mario had a savings account balance of $2742 on January 1 and by April 1, his balance had increased to $3597. The increase in balance will be:

= $3597 - $2742

= $855

Then the average savings rate will be:

= Total amount saved / Number of months

= $855/3

= $285

He had an average savings of $285 per month.

Estimate 11.14+9.543 by first rounding each number to the nearest tenth.

HELP PLSZZ

Answers

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.

WHAT IS THE MEASURE OF ANGLE F?

Answers

Answer:

Hello! answer: 25

Step-by-step explanation:

x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!

Can someone do this? Ty

Answers

Answer:

Step-by-step explanation:

C)   Sarah is trying to say that 72 and 64 are opposite, if 68 is used as the starting point.  So from the point 68,   72 is +4 and 64 is -4.   68 is the "baseline"   or starting point

What number multiples to -12 and adds to 4 (factoring: diamond method)

Answers

Answer: - 2 and 6

Step-by-step explanation:

Answer:

6 and -2 multiply to -12 and adds to 4

En una clase de matemáticas hay 3 niñas y 3 niños del séptimo grado y 7 niñas y 5 niños del octavo grado. La maestra elige al azar un estudiante del
séptimo grado y un estudiante del octavo grado en la clase para una competencia. Cuál es la probabilidad de que los estudiantes que ella seleccione sean
Escribir la respuesta como una fracción en forma reducida.
ninas?

Answers

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

A number divided by four is at most 6. Which choice is correct??

A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6

Answers

C because that sign means lesser than or equal to 6

y=3x +5
y=x+3
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.

Answers

(-1,2) point form and x= - 1, y=2 equation form Good Luck

how to find compound intrest

Answers

Answer:

A = Accrued amount (principal + interest)

P = Principal amount.

r = Annual nominal interest rate as a decimal.

R = Annual nominal interest rate as a percent.

r = R/100.

n = number of compounding periods per unit of time.

t = time in decimal years; e.g., 6 months is calculated as 0.5 years

(THIS ANSWER IS NOT MINE BTW- CREDITS TO THE OWNER))

Please help

A. 5 units
B. 6 units
C. 8 units
D. 10 units

Answers

Answer:

Pretty sure its C?

The answer is C. 8 units

Sandy paid $27 for her new sweater. If the sweater was on sale for 25% off, what was the original price?​

Answers

Answer:

The answer is $36

Step-by-step explanation:

Took the Star Math Test

Answer:

$36

Step-by-step explanation:

100% - 25% = 75%

75% as a decimal = 0.75

75% = 27

75% as a decimal = 3/4

So 3/4 x = 27

27 x 4 = 108

108 / 4 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

can someone pls help

Answers

The answer is b. I know because I know my math. Hoped this helped.

Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.

Answers

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

[tex]Median = 3[/tex]

[tex]Mean = 4[/tex]

Required

The sequence of hours worked each day

See attachment for options

From the question, we understand that:

[tex]Median = 3[/tex]

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

(a)

[tex]\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}[/tex]

[tex]\bar x = \frac{20}{5}[/tex]

[tex]\bar x = 4[/tex]

(d)

[tex]\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}[/tex]

[tex]\bar x = \frac{15}{5}[/tex]

[tex]\bar x = 3[/tex]

Option (a) is true, because it has:

[tex]Median = 3[/tex]

[tex]Mean = 4[/tex]

How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example​

Answers

Consider that,

x^2+4x+4 = (x+2)(x+2)

x^2+7x+10 = (x+2)(x+5)

Dividing those expressions leads to

(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)

The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.

Identify the slopes and y intercept?

Answers

Answer:

answer for number 9 : slope is 3/7 and the y intercept is (0, -2/7 )

answer for number 10 : slope is 4/7 and the y intercept is (0,10)

Step-by-step explanation:

here i hope this helped you

Is 5x^2-8x+4/x+11x^5/2 a polynomial? True or False. Justify your answer

Answers

Answer:

false..................

5x-1/5=7/3
Find The LCD That would eliminate the fractions

Answers

Answer:

[tex]x=\frac{7}{15}[/tex]

Step-by-step explanation:

[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]

[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]

[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]

[tex]5x=\frac{35}{15}[/tex]

[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]

[tex]x=\frac{7}{15}[/tex]

Help!!! I’ll give brainliest
The width of Gabby's backyard is 4 meters shorter than its length, and its area is equal to 120 square meters Which equation can be used to find the possible values for the length of Gabby's backyard, x?

Answers

Answer:

B

Step-by-step explanation:

No links please or I’m reporting you

Answers

Answer:

quadrant  2   the last  option

Step-by-step explanation:

hope this helps!

What is the arithmetic mean for 8,10,8,5,4,7,5,10,8

Answers

Answer:

57.8

Step-by-step explanation:

I am sure that this is the answer.

Answer:

57.8

Step-by-step explanation:

8+10+8+5+4+7+5+10+8 ÷9 = 57.8

Hope this helps!

Which angle is coterminal with a 110° angle?
O A. An angle measuring 460°
O B. An angle measuring -110°
C. An angle measuring 290°
O D. An angle measuring 470°

Answers

Answer:

D. An angle measuring 470*

Step-by-step explanation:In this question

The coterminal angle for 110° is 470°.

What are coterminal angles?

"Coterminal angles are two (or more) angles that have their initial and terminal sides in the same positions. However, the angle measures differ either because one angle is measured clockwise and the other is measured counterclockwise".

For the given situation,

The angle is 110°.

The coterminal angles can be determined by adding or subtracting 360° to the given angle.

For 110° = [tex]360+110[/tex]

⇒ [tex]470[/tex]°

Hence we can conclude that the coterminal angle for 110° is 470°.

Learn more about coterminal here

https://brainly.com/question/2762868

#SPJ2

❗️❗️❗️please answer fast‼️‼️‼️‼️

Answers

Answer:

72°

Step-by-step explanation:

The interior angles of a triangle sum to 180°. Since there are two angles at 54°, we can use the equation x = 180 - 54 - 54 or x = 180 - 2(54), which will give us 72°.

HELP PLEASE What is the area of the regular trapezoid below?

A trapezoid has a base of 10 centimeters, height of 8 centimeters, and top side length of 6 centimeters.
64 Centimeters squared
80 Centimeters squared
240 Centimeters squared
480 Centimeters squared

Answers

Answer:

64 Centimeters squared

Step-by-step explanation:

Formula for the Area of a trapezoid:

A = a+b

----- h

2

a (base) = 6

b (base) = 10

h (height) = 8

6+10 = 16

16/2 = 8

8 times 8 = 64

Clarence made a scale drawing of a classroom. The scale in the drawing is 2 inches represents 9 feet. The actual length of the classroom is 36 feet. What is the length of the classroom on the scale drawing

Answers

The answer is 8 inches. Hope this helps
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