Given a rational number, a, and an irrational number, b, prove that the sum of a and b is irrational.



PLSS

Answers

Answer 1
Assume a is rational, b is irrational, and a + b equals a. We can express a and a + b as fractions since they are reasonable. Because this is our paradox, the sum of a rational and an irrational number must be irrational.

Related Questions

PLEASE HELP I WILL GIVE BRAINLYEST!
Joey buys a bicycle for 30% off the original price. The original price is $90 more than the sale price. What is the original price in dollars of the bicycle?

Answers

Answer:

If its 30% off, and that 30 percent is 90 dollars, then that means that the price is 270

Step-by-step explanation:

I think i am correct.

$270 because 30% is $80 and you add $90

There are 364 people that have to go from the airport to the hotel. One van can transport 12 people. How many vans are needed?

A. 4
B. 30
C. 31
D. 32

Answers

Answer:

30

Step-by-step explanation:

all you need to do is divide please let me know if the answer is incorrect

Answer:

Technically speaking: 31. (Or C.)

Step-by-step explanation:

We can solve this quite simply by dividing 364(amount of people) by 12(amount of people per van).

Which would look like this: 364/12=30.3333

The reason being for it being 31 and not 30 is because you would need one extra van to take the remaining 4 people that was not picked up by the 30th van, otherwise only 360 people would've been picked up.

Write an expression that represents the difference of (4x + 2/3y) and (4/12y - 8.7x)

Help

Answers

Answer: 1/30x (381x+10y)


Explanation:

(4x + 2/3y) - (4/12y - 8.7x) = 12.7x+1/3y

Convert 12.7x in the difference to a fraction, which is 127/10x.

Factor out 1/30 from 127/10x + 1/3y


Solution: 1/30x (381x+10y)


12.7x+1/3y

show work on how to match them

Answers

9.A
10.C
11.B
12.D
to find circumference you do C=D times pi if you are given the radius then you double the radius to get the diameter and do the equation
Answer:

C≈53.4 units

C≈28.3 units

C=20.4 units

C=75.4 units

Solution:Circumference of a circle:C=πdOrC=2πrwhere π=3.14...d=diameterr=radiusPlug in the values:C=2π(8.5)C=17πC≈53.4 (match "radius=8.5 units" to "53.4 units")C=π(9)C≈28.3 units (match "diameter=9 units" to "28.3 units")C=π(6.5)C=20.4 units (match "diameter=6.5 units to "20.4 units")C=2πrC=2π(12)C=24πC=75.4 units (match "radius=12 units" to "75.4")

Hope it helps.

Do comment if you have any query.

ANSWER FOR BRAINLIEST

Answers

Answer:what’s the question?

Step-by-step explanation:

Hey, help me with a question please!!!

Please help needed its due soon

Answers

Answer:

its too small but what i can tell you is that this is k12 right?

Step-by-step explanation:

What happens after coral is bleached?

The coral dies immediately.

The coral is susceptible to starvation.

The coral produces peroxides.

The coral releases algae into the ocean.

Answers

Answer: B

Hope this helps! :)

Answer:

the coral is susceptible to starvation.

Step-by-step explanation:

please help. what is the area of the figure?

Answers

Answer:

I believe it is 750

Step-by-step explanation:

l x w x h = A

5 x 6 x 10 = 300

5 x 5 x 18 = 450

450 + 300 = 750

I think the answer to the problem “what is the area of the figure?”is 750

A. Find the volume of the cylinder to the nearest thousandth
B. Find the surface area of the cylinder to the nearest thousandth

Answers

Answer:

See Below

Step-by-step explanation:

For Volume:

V = πr^2h

V = π * 1^2 * 15

V = 47.124 cm^3

For Area:

A = 2πrh+2πr^2

A = 2 * π * 1 * 15 + 2 * π * 1^2

A = 100.531 cm^2

Help me plss i'm stuck on this on this question.

Answers

she completed roughly 82% of her goal

Answer:

A

Step-by-step explanation:

Well she made 29 miles

35-29 is 6

6/35 =.171.......

You just move the decimal points as many times until it makes sense. so you move it over twice then bam you get 17.1 so its A

Fifteen people were asked how many days it had been since they had eaten more than 50 grams of carbohydrates in a single day. The results are shown above. What is the interquartile range of the data? A) 1 B) 2 C) 3 D) 4

Answers

Answer:

b

Step-by-step explanation:

6; 7; 8; 8; 8; 8; 9; 9; 9; 10; 10; 10; 10; 10; 10

Q1 Q2 Q3

Q1= 8

Q2= 9

Q3= 10

INTERQUARTILE RANGE= Q3–Q1 =10–8 =2

B) 2

Step-by-step explanation:

UQ is 10

LQ is 8

10-8=2

Hope this helps!

I NEED HELP WITH NUMBER 9 ASAP PLS HELP I NEED STEP BY STEP

Answers

Answer:

B) 14.50

Step-by-step explanation:

I hope this helps. If not let me know and I will help you with what you need!

Please help with Oregon trail: Percents.

Answers

Well 56% of 816 is 456.96 so you will have to double

Use the chart and the dot plot to estimate the mean or average.
2 5 15 or 10

Answers

Answer:

5

Step-by-step explanation:

the answer is 5 because when you add 4,8,3,4,10,,6,7,8,18,11,and 30 you get 109 then you divide 109 by 20 and get 5.45 but when you round to the nearest whole you get an estimate of 5

can you help im kinda in a hurry this was due yesterday please help all give branlyist if corectt

Answers

Answer:

sorry I didn’t answer for ya yesterday day but here you go

A(1/2, 2 1/2)

B(1/2, 3 1/2)

C(1/2, 5)

D(1/2, 4 1/2)

Step-by-step explanation:

hope this helps you !

Can you help thank you i will give branlyist if you are correctt

Answers

Answer:

I put the color next the the coordinates so you know which dot is whitch

Step-by-step explanation:

Please help!- Give an example of two different sets of data, in which both box plots have the same range and IQR and yet represent completely different data. Explain.

Answers

Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

. please help me! and provide a CLEAR step by step explanation! tysm!
also giving out brain to good explanations and first answer correct

Answers

Answer:

182.25

Step-by-step explanation:

Maria has the following scores on exams in her social studies class: 86, 75, 97, 58, 94, and 58.

A. Find the mean, median, and mode of the scores.

B. Should Maria’s social studies teacher use the mean, median, or mode of the exam scores to convince Maria that she needs to study more regularly for her exams?

Answers

Answer:

Below in bold.

Step-by-step explanation:

Arrange the scores in ascending order:

58 58 75 86 94 97

A. The mean = (58+58 +75+ 86+ 94+ 97)/6

= 468/6

= 78.

The median = (75+ 86)/2 = 80.5.

The mode = 58.

B. She should use the mode as it is the lowest score.

Mean: 78

Explanation: the mean is the average number in a data set, meaning you have to add all of the numbers and divide by the number of values (86 + 75 + 97 + 58 + 94 + 58) / 6

Median: 80.5

Explanation: The median is the value that separates the higher half from the lower half in a data set. in this case, you have to order the numbers least to greatest and since there is an even amount of numbers, you take the two middle ones and find the average of the two. (75 + 86) / 2

Mode: 58

Explanation: the mode is the value that appears most frequently in a data set, in this case it is 58

Part B: Maria’s social studies teacher should use the mode of the exam scores to convince Maria that she needs to study my regularly for her exams because it is the lowest score

Jacob says that 1 1/8 inches is an outlier because it is the only length that does not have any dots. Is Jacob correct? Explain.

A. Jacob is correct. All of the other data values have dots, so a data value without dots is different and is therefore an outlier.

B. Jacob is not correct. An outlier is a data value that is very different than the other data values that have at least 1 dot.

C. Jacob is not correct. An outlier can lie anywhere on the line plot, and it must have exactly 1 dot.

D. Jacob is not correct. The outlier is 1 4/8 inches because the outlier is always the greatest data value.

Answers

A.Jacob is correct. The correct value is 1 1/8 inches. All of the other data values have dots, so a data value without dots is different and is therefore an outlier.

What is an Outlier?

An outlier is an observation that lies at an abnormal distance from other values in a random sample from an Experiment.

On observing the given figure length that does not have any dots is between

[tex]1 \ and\ 1\dfrac{2}{8}[/tex]

Calculatte the value between it

[tex]\dfrac{1+1\dfrac{2}{8}}{2}\\=\dfrac{\dfrac{18}{8}}{2}\\\\=\dfrac{9}{2}\\\\=1\dfrac{1}{8}[/tex]

Hence Jacob is correct. All of the other data values have dots, so a data value without dots is different and is therefore an outlier.

learn more about Outlier:

https://brainly.com/question/3631910

#SPJ2

Write a positive or negative integer that represents the situation.

Answers

Step-by-step explanation:

Here we have got 30 dollars so , it will be a positive sort of thing

The positive integers which represents the situation is +30dollar

I agree with the guy on the top. I learned that this year :) so I know this.

can you help thank you its due 33 min

Answers

Answer:

2/3 for the one going up in the 1st picture

2/3 and 1 1/3 for the bottom in first picture

2/3 and 1 1/3 going up in second picture

Step-by-step explanation:

hope its correct

An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores below.

−1.75, −1.5, 4, −4.25, 3.75, 1.25, 2

Find the mean score. Write your answer as a decimal.

The mean score is (BLANK)

Answers

Answer: 0.5

Step-by-step explanation:

You have to add up all the scores then divide the total by how many sets of numbers there are, Ex; In this question, there are 7 sets of scores, so you divide the total by 7

Equation: -1.75 + (-)1.5 + 4 + (-)4.25 + 3.75 + 1.25 + 2 = 3.5

3.5  ÷ 7 = 0.5

Hope this helped!

Larry has the option of planting tulips, daisies, or lilies, and he can use dark or light mulch. How many different kinds of flower beds can he design?

6
5
3
2

Answers

the answer is 3 bc he has three different kinds of flowers
3 the types of flowers x 2 the types of mulch so you get 6

A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.

What is the percent change in the amount the group raised?

%

Answers

10% I believe, sorry if this is wrong

Answer:

10%

Step-by-step explanation:

1045 subtracted from 950 you get 95

Make fraction

95/950

Change over original

95 divided by 950

You get 0.10

As percent 10 %

NEED IT ASAP PLEASE AND THANK YOU

Answers

Answer:

on the x grid find 7.5 in-between 7 and 8

then go up until 6.5 in-between 6 and 7

hope it helps

Answer:

no answer explainable

Step-by-step explanation:

To plot the point where you are working, you go to the numbers below and find 4.5, between 4 and 5. Then you go up to 5.5, or in between 5 and 6. That is the spot where you are working. To plot the point of the groundhog you do the same thing, go to 7.5 on the bottom numbers, and go up to 6.5 to find where the groundhog is.

Submit your graph with your work.
Type in one possible solution to the system.
Question 11
0.5x-y≥3
x+y<3

Answers

Answer:

x ≥ 4

y ≤ -1

x = 4 and y = -1 are the first set of values that can satisfy both conditions.

Step-by-step explanation:

Answer:

.....

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

88cm2

Step-by-step explanation:

You need to first find the area of all sides except the bottom, as you can see the bottom is a rectangle which means the triangles across from each other will have the same measurements.

To find the area of a triangle the formula is 1/2ab

1/2*8*6= 24

1/2*8*5=20

20*2+24*2=88

Therefore the answer is 88 cm2

88 cm2 is the answer

the number of people that attended a town meeting each month for 8 months is shown below 126, 88, 94, 102, 76, 120, 114.
what is the median attendance
A:88 C:98
B:89 D:101

Answers

C

I’m not sure if it’s correct though


Find the area of the window shown below. Use 3.14 for IT. Round to the nearest tenth.

Answers

Answer:

I DON'T SEE ANY WINDOW?,

The answer is 3 sorry lol I need 20 characters
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