b) Express 0.6363......as a rational number in its lowest term. ​

Answers

Answer 1

Answer:

[tex]\frac{7}{11}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating digits (63) placed after the decimal point.

let x = 0.636363..... (1) multiply both sides by 100

100x = 63.6363... (2)

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

99x = 63 ( divide both sides by 99 )

x = [tex]\frac{63}{99}[/tex] = [tex]\frac{7}{11}[/tex] ← in simplest form


Related Questions

Use the model to find the missing number in the pair of equivalent expressions.

15 + 9 = ?(5 + 3)

What number is missing from the expression?

Answers

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?

Answers

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

Learn more about complex numbers here: https://brainly.com/question/12375854

sin10°-cos10° product and evaluate​

Answers

[tex]\\ \sf\longmapsto sin10°-cos10°[/tex]

[tex]\\ \sf\longmapsto sin(90-10°)-cos10°[/tex]

sin(90-A)=cosA

[tex]\\ \sf\longmapsto cos10-cos10[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

graph:
y=150x+50
y=200+150x

Answers

Answer:

y=150x+50

y=200+150x

Step-by-step explanation:

y=150x+50

y=200+150x

The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?

Answers

Answer:

0.57 or 0.56

Step-by-step explanation:

passenger fares + tax revenue = operating costs

Thus:

passenger fares = operating costs - tax revenue

= $69 million - $30 million

= $39 million

The ratio of passenger fares to total operating costs is:

$39 million

= 0.5652.

$69 million

To the nearest hundredth, the farebox recovery ratio is 0.57.

Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.

Answers

Answer:

a₃₂ = - 59

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then

[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5

Then

a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59

Evaluate the expression for p = 2.4 and q = 8.

Write your answer as a decimal or whole number.

pq =

Answers

Answer:19.2

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

pq is the same as p x q.

then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number

PLEASE TELL ME A STORY I WANT AN IDEA ON WHAT TO WRITE NOT JUST A SIMPLE ANSWER LIKE I GAVE A HOMELESS MAN MONEY Describe a time when you solved a problem. What actions did you take, and what impact did you make?​​

Answers

Answer:

Write about like something that happened at school that involved you and others.

Step-by-step explanation:

Hope this helps!

You can write about a story that happened with others around you?? Or an story that happened to you once??

Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy? NO LINK (please)

Answers

Answer:

25 rulers

Step-by-step explanation:

Divide the total money available by the cost per ruler to get the number of rulers.

[tex]19.75/0.79=25[/tex]

Express y²-16y+k as a perfect square.​

Answers

Answer:

(y-4)(y+4)

Step-by-step explanation:

When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)

What is the solution of ?

Answers

Answer:

of what???????..???..

When deriving the Quadratic Formula, we start with the general equation for a quadratic:

Answers

Answer:

Step-by-step explanation:

c sss

In ΔABC and ΔPQR it is given that ∠A=∠R , ∠C=∠P , ∠B = ∠Q. then which of the following holds true ? *
1 point
(a)∆BCA ≅ ∆PQR
(b) ∆ABC ≅ ∆PQR
(c) ∆CBA ≅ ∆PQR
(d)∆CAB ≅ ∆PQR

Answers

Answer:

c. CBA = PQR

Step-by-step explanation:

The elephants at the zoo eat 5/6 of a bucket of bananas each day. The zookeeper bought 2 1/2 buckets of bananas. How many days will the bananas last?

Answers

Answer:

3 days

Step-by-step explanation:

We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3

Answer:

3 days

Step-by-step explanation:

2 1/2 ÷ 5/6 = 3

Therefore, the bananas will last 3 days.

Complete the table shown to the right for the population growth model for a certain country.

Answers

The size of the population increases when the growth rate is positive and

decreases for a negative growth rate.

The completed table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

Reasons:

The table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

P = The population in 2029 = 20.9 million

x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]

[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

Learn more here:

https://brainly.com/question/25354980

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

answer is 10,029 ft/h if I'm not wrong

discount is calculated on which price

Answers

Answer:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price

You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.

Answers

Answer:

You tutor for 4 hours

Step-by-step explanation:

If you count all the boxes, there are 6

12/6 is 2

You have 2 boxes so you do 2*2 which is 4

THE ANSWER IS 4

Answer:

24

Step-by-step explanation:

i added the time frame of you both tutoring ig.

Find the perimeter. Simplify your answer.

Answers

30s-18 is the answer jus add all the sides together/ add the like terms then solve it

haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho

Answers

Answer:

Good Luck - You can do it!!!!!!!

Step-by-step explanation:

I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!

Answer:

Sorry about that

Step-by-step explanation:

I hope you finished it all

The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham ​

Answers

Answer:

1˚C

Step-by-step explanation:

First, you take 5 away from 6

5 = 5°C colder than in London

6 = The temperature in London

1ºC.     6 minus 5 equals 1.

and also that is quite easy for high school.

phân tích đa thức thành nhân tử 8x^2+16xy

Answers

Answer: 8x^2+16xy= 8x(x+2y)

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

d ≥ -7     ?  (ignore.....................................................................................................................................)

instant oatmeal regularly sells for $3.67 a box. oatmeal is now 2 for $5.00. how much can Norris Russell save by purchasing 2 boxes?

Answers

Answer: $2.34

Step-by-step explanation: first add $3.67+$3.67 that equals $7.34

then subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

Answer:

$3.67+$3.67=$7.34

Subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

us

What is the dividend yield on Stock A that sells at

15 $/share, when Company A pays a quarterly

dividend of $0.15 per share?

dividend yield = [?] %

Give your answer as a percent rounded to the

nearest tenth.

Fnter

Answers

Answer:4

Step-by-step explanation: $0.15 x 4 = 0.6

0.60 divide by 0.15

= 4.

Express each ratio as a fraction in the simplest form:

8dm to 3.2 m and 0.3k to 500 m

Answers

Answer:

1/4, 3/5

Step-by-step explanation:

0.8/3.2=8/32=1/4

0.3/0.5=3/5

it takes minutes to do 7 math problems how long does it take to do 20 math problems

Answers

Answer:

can you please explain that a little more

Determine the percentage of the square that belongs to each of the four regions. (image included)
help!!

Answers

Step-by-step explanation:

maybe you can try to measure each of the ways maybe and you can get the equation

round 73.03 to the 1 decimal place

Answers

Answer:

The answer is 73.0 or just 73

Which step? I’m sort of confused

Answers

The answer is C) Step 3

Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.

The right steps are:

-4/5 / 8/-3

Flip the second part to multiply:

-4/5 * -3/8

Multiply:

12/40

Simplify:

3/10

I hope this helps!

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