Show that the numbers below are rational and write each as a fraction:

(a) 0.73652913
(b) 0.746746746746...

Answers

Answer 1

Answer:

a) The number is:

0.73652913

There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)

0.73652913 =  0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000

So we wrote this as a fraction of two integers.

b) The number is:

0.746746...

Where the periodic part is 746.

the periodic part has 3 digits, then we can do:

0.746746...*1000 = 746.746746....

Now we can subtract the number itself to get:

746.746746... - 0.746746... = 746

And what we did is:

N*1000 - N = N*999

Then to transform the number into a quotient of integers, we can multiply and divide by 999.

0.746746... = 0.746746...*(999)/(999) = 746/999

That is a quotient of two integers, so 0.746746... is a rational number.


Related Questions

Margaret said the exact product of 602 and 341 is 205,282 is she correct use paper and the standard algorithm to support your reasoning​

Answers

Answer:

yes she is correct

Step-by-step explanation:

first do 602 times 341 then you compair to see if the answers are correct. Hopped this helped <3

Answer:

yes she is correct

Step-by-step explanation:

602 times 341

a line passes through the point 2, -3 and has a slope of 9

Answers

Answer:

Y=9x-21

Step-by-step explanation:

estimate each cube root to the nearest integer 74 to the 3rd power ​

Answers

Answer:

74

Step-by-step explanation:

The cube root of 74^3 will be 74. The cub and cube root cancel each other out.

It cost $3.45 to buy 3/4 lb of chopped walnuts. How much will it cost to buy 7.5 lbs of walnuts?

Answers

Answer:

$34.5

Step-by-step explanation:

Turning the 3/4 into a decimal would be .75, .75 can go into 7.5 10 times. You would multiply 10 by the cost $3.45 and you would get $34.5 for 7.5 lbs of walnuts.

5,608 , 97,506 ,9 658 Which numbers 5 is 10 times the value of 5 in 8,395​

Answers

Answer:

9658

Step-by-step explanation:

The value of 5 in 8395 is 10

To get the answer you have to do 1*10=10 so you would have to find a number where 5 is in the tens place

9658 has a 5 in the tens place

help please ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️​

Answers

one hour 55 min

you just need to subtract bout to get the answer

3 1/5 divided by 4 = ?
what is the answer and how did you get it

Answers

Answer:

31/5=6.2

6.2/4=

1.55 I hope you get it

Pls Help: I need help

Answers

Answer: C

Step-by-step explanation: 0.571 is greater than 0.4. Therefore, 4/7 is greater than 2/5 and the answer to the question "Is 4/7 greater than 2/5?" is yes. Note: When comparing fractions such as 4/7 and 2/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

(9c2−3cw−6w2)−(−9c2+9cw−w2)

Answers

Answer: The answer is [tex]18c^{2}[/tex]-[tex]12cw[/tex]-[tex]5w^{2}[/tex]

Step-by-step explanation:

The first thing you want to do is to add the [tex]9c^{2}[/tex] to the other one. You add instead of subtracting because the second one has a minus sign, and there is a minus sign in front of the parentheses. Two minus' make a plus. Adding these two together gives you a sum of [tex]18c^{2}[/tex].

Next, you want to simplify 9cw. Remember that since 9cw is positive, and there is a minus sign if front of the parentheses, you need to subtract here. Subtracting 3cw and 9cw gives you a difference of [tex]-12cw[/tex]. The new equation is [tex]18c^{2}-12cw[/tex].

Finally, we need to combine -w2 with -6w2. Remember that -w2 has a minus sign in front of it, so you need to add w2 to -6w2. This gives you [tex]-5c^{2}[/tex]. You combine this answer with the two answers above, and you get: [tex]18c^{2}-12cw-5w^{2}[/tex]. I hope this helps.

anyone can help me i need it urgently and also show working thank you​

Answers

Answer:

x

Step-by-step explanation:

because you have to subtract 3x from 4x which leaves x because 1 is just x

Answer:

4x-4=3x

4x-3x=4 - in this step notice how they subtracted 3x from the right side so they could subtract 3x from the left side. By doing so the right side of the equation would be empty and thus is why they added 4 to each side to cancel out the 4 on the left side and add one to the right.

Step-by-step explanation:

A robot can complete 3 tasks in 5/6 of an hour. Each tasks takes the same amount of time. How long does the robot take to complete 1 task?

Answers

Answer:

16-17 min

Step-by-step explanation:

5/6 hour = 50 minutes

50 divided by 3 is approx. 16-17

Takes about 16-17 minutes to do 1 task

Question 16 not 15.

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex]11x + 16 = (9x + 2) + 32[/tex]

[tex]11x + 16 = 9x + 34[/tex]

Subtract sides 16

[tex]11x + 16 - 16 = 9x + 34- 16[/tex]

Simplification

[tex]11x = 9x + 18[/tex]

Subtract sides 9x

[tex] - 9x + 11x = - 9x + 9x + 18[/tex]

Simplification

[tex]2x = 18[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

x=9

Step-by-step explanation:

angle 4 = angle 1 + angle 2

11x + 16 = 9x + 2 + 32

combine like terms

11x - 9x = 2 + 32 - 16

2x = 34 - 16

2x = 18

x = 18/2

x = 9

The regression analysis gives the equation
GPA = -1.262 + 0.00214(SAT)

Answers

cacabuttlol lol ))))))00000

Step-by-step explanation:

What is the stander form of 1234567456

Answers

Answer:

Hi sky how u doing? Me and grant already solved our problems. I need to talk to you :) PLZ RESPOND FAST!!

Samuel and Jackson are brothers. Samuel is three years older than twice the age of Jackson. If the sum of their ages is 18, how old are the brothers?

Answers

9 is the answer hope it helps

Americans earning between $114,500 and $ 163,000 fall into the 35% tax bracket. This means they pay $6,250 plus 35% of income over $114,500. If you earn $ 135,000 what are your taxes?

Answers

Answer:

Your taxes are $13,425

Step-by-step explanation:

Taxes paid by Americans depend on their income. If they earn between $114,500 and $163,000, they must pay a fixed amount of $6,250 plus 35% of the income over $114,500.

If you earn $135,000, you definitely all into the described bracket. We need to calculate the income above the minimum $114,500:

taxable income=$135,000-$114,500=$20,500

Thus, you must pay:

Tax = $6,250 + 35% of $20,500

Tax = $6,250 + 35/100 $20,500

Tax = $6,250 + $7,175 = $13,425

Your taxes are $13,425

F=1.8C+32 solve for given variable

Answers

Answer:

Step-by-step explanation:

The formula F = 1.8C + 32 can be used to find the temperature in degrees Fahrenheit F when the temperature is given in degrees Celsius C. For what value is the temperature in degrees Fahrenheit equal to the temperature in degrees Celsius? Justify your reasoning by writing and solving an equation. (Hint: If Fahrenheit and Celsius are equal, they can be assigned the same variable.)

5n
What is the value of 5n ?

Answers

Answer: you never gave it one

Step-by-step explanation:

A customer at Mexican restaurant placed an order for 3 burritos at x amount of dollars. He also ordered tacos that cost $12.96 total and billed a total of $32.46.

Answers

Answer:

he paid $6:50 for each burrito

B
How many units away are each of the points from the y-axis?
O 3
4
LP
co
7
Save and Exit
Mark this and return
How many units away are each of the point from the y-axis

Answers

Answer: D

Step-by-step explanation: I took the test

Answer D

Step-by-step explanation:

WHAT is The Answer Gving Brainliest

Answers

D. Is the answer!! Because the a point is correct as well as the unit distance from a and b

Answer:

Your answer is D due to where the points lie :)

Is this right? PLEASE HELP

Answers

Answer:

I got

2x^4u^4-6+9x^3u^2/ux^2

Step-by-step explanation:

Photo wrong only at the end u^2

Margaret is making strawberry milkshakes for the kids party. The recipe calls for 1/3 of a cup of strawberry syrup to make 12 milkshakes. How many cups of strawberry syrup are needed to make 72 milkshakes.?
A. 3
B. 12
C. 24
D. 2

Answers

Answer:

The answer is D.

Step-by-step explanation:

72 divided by 12=6

6 times 1/3=2

HELP ITS DUE AT MIDNIGHT

Answers

Answer:

-1x-13, I'm sorry if it is wrong...

Step-by-step explanation:

5(x-4)+3x-9x+7

5x-20+3x-9x+7

5x-20-6x+7

-1x-13

Answer:

-x - 13

Step-by-step explanation:

5(x - 4) + 3x - 9x +7

Distribute the 5 to x - 4

5x - 20 + 3x -9x + 7

Combine like terms

-x - 13

DO ASAP. PLS
Six men can pack 900 boxes in 4 days. At this rate, how many boxes can ten men pack in 6 days?

Answers

Answer:

1350

Step-by-step explanation:

900/4 = 225

225x6=1350

i think

hope this helped

Find the area of the circle. Use 22/7 as an approximation for py

Answers

Answer:

Answer choices?

Step-by-step explanation:

How do you do this question?

Answers

Step-by-step explanation:

f(x) = ln(1+2x), a = 5, n = 3

Find the derivatives.

f⁽⁰⁾(5) = ln(1+2(5)) = ln(11)

f⁽¹⁾(5) = 2 / (1+2(5)) = 2/11

f⁽²⁾(5) = -4 / (1 + 2(5))² = -4/121

f⁽³⁾(5) = 16 / (1 + 2(5))³ = 16/1331

T₃(x) = ln(11) (x − 5)⁰ / 0! + 2/11 (x − 5)¹ / 1! − 4/121 (x − 5)² / 2! + 16/1331 (x − 5)³ / 3!

T₃(x) = ln(11) + 2/11 (x − 5) − 2/121 (x − 5)² − 8/3993 (x − 5)³

Find the fourth derivative.

f⁽⁴⁾(x) = -96 / (1 + 2x)⁴

So the next term of the series would be:

(-96 / (1 + 2x)⁴) (x − 5)⁴ / 4!

For 4.6 ≤ x ≤ 5.4,│f⁽⁴⁾(x)│is a maximum at x = 4.6.  Therefore:

│R₃(x)│≤ │(-96 / (1 + 2(4.6))⁴) (4.6 − 5)⁴ / 4!│

│R₃(x)│≤ 0.000009

│R₃(x)│is always positive, so we can ignore the right two graphs.  Only the top left graph is less than 9×10⁻⁶ on the interval.

i need help please AND HOW U GOT THE ANSWER PLS PLS

Answers

Answer:

1. Yes, all of the measurements are equal

2. A

3. B

4. B

Step-by-step explanation:

1. Congruent shapes have all equal measurements

2. If they are congruent, the sides that align with each other are also congruent

3. If they are congruent, the angles that align with each other are also congruent

4. If they are congruent, then <B and <E are equal to each other... <B = 65 degrees meaning so does <E

- hope this helps! :)

Henry needs a 16 ft. table for his family dinner. He is going to put two tables together. He has an 8ft table. How long does the other need to be?

Answers

Answer:

8ft

Step-by-step explanation:

8

Step by step explanation: 16 divided by 2= 8

Write an algebraic expression for the phrase t decreased by 7.

Answers

Answer:

t - 7

Explanation ;

decreased means to take away; subtract !

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