Find the value of 1.999.... in the form of p
q
where p and q are integers.

Answers

Answer 1

1.999… is exactly the number 2.

Let x = 1.999… . Then 1000x = 1999.999… . Subtract x from this to eliminate the fractional part, and you get

1000x - x = 1999.999… - 1.999…

1000x - x = 1999 - 1

999x = 1998

x = 1998/999 = 2/1 = 2

So p = 2 and q = 1.


Related Questions

Find the value of x. Round to the nearest degree as needed.

Answers

9514 1404 393

Answer:

  x° = 59°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations. The one applicable here is ...

  Tan = Opposite/Adjacent

  tan(x°) = 5/3

  x° = arctan(5/3) ≈ 59.04°

The value of x is about 59.

What is the initial value of e=3h+200.

Answers

Answer:h=e-200/3

Step-by-step explanation:

6(1 - 6x) < 38 - 4x
What is the answer to this equation.

Answers

Answer:

x>-1

Step-by-step explanation:

Answer:

x > -1

Step-by-step explanation:

Paragraph One

He drives a racecar 80 miles per hour. He motivates audiences of hundreds. He's earned awards for his performance on and off the racetrack, and he's traveled the country to compete. Did we mention that he's 13 years old? One look at his accomplishments and it is easy to see that Noah "Little Gator" Cornman is on the fast track to success. "Little" might be a part of his nickname, but it does not describe his determination to succeed and his heart to make a difference for kids like him.

In paragraph 1, which sentence implies that the author is impressed with the teen's accomplishments?

He drives a racecar 80 miles per hour.
He motivates audiences of hundreds.
Did we mention that he's 13 years old?
He's traveled the country to compete.

Answers

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

because he inspire alot of people by driving a racecar 80 mph that is fast for a kid at his age.

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

Did this in middle school 1 year ago it right

Question 5
3 pts
(6.03)
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a
numeric value only.) (3 points)
Question 6
4 nts

Answers

Answer:

2

Step-by-step explanation:

what is the slope of this line, simplify if possible!

Answers

Answer:

The slope is 0

Step-by-step explanation:

the line is straight, so the slope is 0. I hope this helps

8 - 5xt-8х - 5x
how do I solve this?​

Answers

Answer:

[tex]8 - 5xt - 13x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex]8 - 5xt + ( - 8x - 5x)[/tex]

2) Simplify.

[tex]8 - 5xt - 13x[/tex]

Therefor the answer is 8 - 5xt - 13x.

Write the ratio 32 : 24 in its simplest form

Answers

Answer:

4:3

Step-by-step explanation:

because 32:24 simpified is 4:3

f(x) = 5 – 0.2c and g(x) = 0.2(x + 5).

Answers

Answer:

i recommend math-way's they give you step by step or if you are work on Big ideas work use Slader they have all the answers  

Step-by-step explanation:

A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

Answers

Answer:

55135 lbs (rounded to the nearest pound)

Step-by-step explanation:

​diameter of tank = 15 ft

Radius = 15/2 =7.5

volume of hemisphere = 2/3 ×π× 7.5³=883.5729

total weight of water = 62.4 × 883.57 = 55134.768

55134.768 rounded to the nearest pound is 55135 lb

♥ Hope this helped ♥

How many toothpicks make a triangle? Two triangles? Write
an expression that represents the number of toothpicks
needed to make x triangles that appear side-by-side in a
single row, as shown. Explain your reasoning,

Answers

Answer:

3 toothpicks make a triangle  x =3

Step-by-step explanation:

Steph has 7 gallons of water josh has 26 quarts of water how many more cups of water does Steph have than josh

Answers

Answer:

8 CUPS

Step-by-step explanation:

We have to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

work out the volume of this hemisphere with diameter 9.6 cm

Answers

Answer:

Please refer to the attachment

hey guy i need help on this

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step:

[tex](12 - 9)^{2} + \frac{15}{3} \\ (3) ^{2} + \frac{15}{3} \\ 9 + \frac{15}{3} \\ 9 + 5 \\ = 14[/tex]

What is the equation of the line that passes through the point (4, 12) and has a y-intercept of -2?
A y = 12 x - 2
B. y = {x-2
C y = 2x - 2
D. y = 6x - 2

Answers

Answer:

The answer is D.

Step-by-step explanation:

:DDDDDDDDD

how to write "The product of a number and -2 increased by 10"? ​

Answers

(x•-2)+10 I’m pretty sure
Possible ways

2(x) + 10

x • 2 + 10

x(2) + 10

please could u help me with this?​

Answers

43.68. You multiply the base by the height

Can someone pls help me

Answers

Answer:

10

Step-by-step explanation:

Answer: its an acute angle so its 90

Step-by-step explanation:

Kathryn bought a magazine for $5 and eight erasers. She spent a total of $45. How much did each eraser cost?

Answers

The answer to your question is 17

how many rectangles with an area of 10 square feet can fit within a large rectangle with dimensions 25 feet by 40 feet?​

Answers

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               [tex]= \frac{25*40}{10}\\\\= 25*4\\= 100[/tex]

(q – 5) 7 simplified

Answers

Answer:

7q-35

Step-by-step explanation:

A. Write the ratio and express in simplest or lowest terms.
1. 8 hours to 10 hours
2. 40 minutes to 1 hour
3. 25 centavos to a peso
4. 2 dozens to 18 things
5. 64 km to 2 hours​

Answers

Step-by-step explanation:

a 8:10

= 8/10

= 4/5

b. 1 hr = 60 min

= 40: 60

= 40/60

= 2/3

d 1 dozen = 12 things

2 dozen = 24 things

= 24: 18

= 12/18

= 2/3

Can someone pls help me on this

Answers

CF is 7

Step-by-step explanation:

GE is 10 and they have to be equal so 10-3 is 7

Q2. 1 a) Dave wants to invest $2000 in an account that earns 2.5% interest compounded monthly. If he
leaves the money in the account for 5 years, how much money will he have at the end of those 5 years?

Answers

Question: Dave wants to invest $2000 in an account that earns 2.5% interest compounded monthly. If he  leaves the money in the account for 5 years, how much money will he have at the end of those 5 years?

Answer:

Step-by-step explanation:

Approximately 45% of films are rated R if 850 films were recently rated how many were rated R

Answers

Answer:

382.5?????

Step-by-step explanation:

because 850×45% its that

Help me? I’m giving brain

Answers

Answer:

4.31 as said

Step-by-step explanation:

Answer:

it could be 4.30 because when u divide those two the answer is 4.3057142857, and because the number in the hundreths place is just a 0 its probably just 4.30 i could be wrong sorry

what is 10 to the 100th power

Answers

Answer:

EZ!!! 1e+100

Step-by-step explanation:

What is the probability of rolling a 2 or 6 on a six-sided number cube?

Answers

Answer:

likely .

Step-by-step explanation:

Answer:

2 out of 6 chance

Step-by-step explanation:

If Evan has 3 Jars of Cookies and each jar holds 18 cookies how many cookies does Evan have?

Answers

Answer:54 cookies in total

Step-by-step explanation: 3x18=54

Answer: 54 cookies in all

Step-by-step explanation: Evan has 54 cookies because if you do 18x3 you get 54, or if you do 18+18+18 you get 54.

=

Find the sale price of a $45 item after a 20% discount.

Answers

Answer:

36$

Step-by-step explanation:

the answer is $36, becau
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