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REY [17]
3 years ago
10

How to find rational numbers between any two numbers for example like finding six rational numbers between three and four please

elaborate
Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

<em>The whole series is: </em>

<em>3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4</em>

Step-by-step explanation:

<u>Inserting Numbers Between Two Given Endpoints</u>

Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].

To place n numbers, we need to open n+1 slots, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1) each.

For example, let's add 6 rational numbers between 3 and 4. The width of the given interval is 4-3=1, and we need to place 6 numbers separated by 1/(6+1) = 1/7.

Start by the left endpoint:

3

The first number to add is 3+1/7=22/7

22/7

The second number to add is 22/7+1/7=23/7

23/7

The third number is 23/7+1/7=24/7

24/7

The next numbers follow the same pattern:

25/7

26/7

27/7

The last number is 28/7=4

4

The whole series is:

3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4

We have inserted 6 rational numbers between 3 and 4.

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There are 4 students and 1/2 sh butcher paper how much paper will each student get
inna [77]

Answer:

2?

Step-by-step explanation:

what is sh? sheets? if so try dividing 4 by 1/2

4 0
3 years ago
Find the volume to the nearest cm3<br> 20 cm<br> 35 cm<br> 12 cm
riadik2000 [5.3K]
Answer: 10380cm^3

Explanation:

Find the volume of half cylinder:

V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3

Find the volume of the rectangle:

V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3

Find the volume of the whole shape:

V = 1980 + 8400
V = 10380cm^3

3 0
3 years ago
Write an equation to represent each relationship 23 more than 10 times a number is the same as 5 more than the number
Inessa [10]

Answer:

23 + 10x = x + 5

you write out that first 23 plus 10 times x and it gives you 5 more than x

5 0
3 years ago
Find the Shaded area
Paul [167]

Answer:

7.73

Step-by-step explanation:

So first find the area of the circle which is A= (pi)(r)^2

So you would have A=(pi)*3^2 = 28.27

Then you know that since the radius is 3 you know that the diameter is double of that and so your diameter is 6. Now if you draw a horizontal line that goes through the center and is parallel to one of the sqaure side you can see that that also is the diameter and you already figured out the diameter to be 6 so hence the side of the square are 6. Now find the area of the square which is 36 and then subtract 28.27 from it

36-28.27 = 7.73

8 0
1 year ago
A company produces candy bags that each hold about 528 cubic inches of candy. Each bag is filled with any mixture of lollipop ca
enyata [817]

361 lollipop candies or 697 gummy bear candies fills the bag of volume 528 in.³, which gives the following possible equation;

  • 1.46•l + 0.76•g = 528

<h3>How can the correct equation be found?</h3>

Volume of candy bag = 528 in.³

Number of lollipop candies the bag can hold = 361 candies

Number of gummy bear candies the bag can hold = 697 candies

Therefore;

1 \: lollipop =  \frac{528}{361}  =  1.46

1 \: gummy \: bear =  \frac{528}{697}  =  0.76

Which gives the following equation;

  • 1.46•l + 0.76•g = 528

Learn more about writing equations here:

brainly.com/question/18713037

#SPJ1

3 0
2 years ago
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