find rational numbers between

( -7 and 1/3)

5/9 and 2/3

[tex] \frac{ - 2}{5} and \frac{ - 3}{7} [/tex]

Answers

Answer 1

Answer:

i know there's a lot of explanation. but it helps u for sure :)

Step-by-step explanation:

1)

[tex]-7 \ and \ \frac{1}{3} = \frac{-7}{1} \ and \ \frac{1}{3}\\\\LCM \ of \ 1 \ and\ 3 = 3\\\\\frac{-21}{3} \ and \ \frac{1}{3}\\\\To \ find \ rational \ numbers \ between \ \frac{-21}{3} \ and \ \frac{1}{3} \ write \ any \ number \ between \ -21 \ and \ 1 \ with \ denominator \ 3. \\\\That \ is, \ \frac{-20}{3}, \frac{-19}{3}, \frac{-18}{3}.....[/tex]

2)

[tex]\frac{5}{9} \ and \ \frac{2}{3}\\\\Similarly \ take \ LCM \ of \ 9 \ and \ 3 = 9\\\\Since \ it \ is \ still \ complicated \ to \ find \ rational \ number \ between \ \frac{5}{9} \ and \ \frac{6}{9},[/tex]

[tex]because \ there \ exists \ no\ natural \ number \ between \ 5 \ and \ 6.[/tex]

[tex]We \ will \ multiply \ numerator \ and \ denominator\ by\ 10. \\\\Therefore\ \frac{5}{9} \ and \ \frac{6}{9} \ becomes \ \frac{50}{90} \ and \ \frac{60}{90}.[/tex]

[tex]Keeping \ denominator \ 90 \ write \ numbers \ from \ 50 \ to \ 60 \ in \ the\ numerator.\\\\That \ is , \frac{51}{90}, \frac{52}{90}, \frac{53}{90}, \frac{54}{90}, .\ .\ .[/tex]

3)

[tex]LCM \ of \ 5 \ and \ 7 = 35\\\\\frac{-2}{5} \ and \ \frac{-3}{7}\ becomes \ \frac{-14}{35} \ and \ \frac{-15}{35}\\\\Now \ multiply \ denominator \ and \ numerator \ by \ 10\\\\\frac{-140}{350} \ and \ \frac{-150}{350}.\\\\Rational \ numbers \ are \frac{-141}{350}, \frac{-142}{350}, \frac{-143}{350}, . \ . \ . \[/tex]

Tip :

1. Make the denominator same.

2. Multiply numerator and denominator by 10 , 100 or 1000

3. Just write the natural numbers between the 2 numerators keeping denominator same.


Related Questions

Please I need it now


A rational number is terminating decimal, if its denominator has
no prime factor other than:
A. 2 and 3 B. 3 and 5 C. 2 and 5 D. 2 and 7


Answers

Answer:

it's C. 2 and 5...

Step-by-step explanation:

If the denominator of rational number contains no prime factors other then 2 or 5 or both, then this rational number can be expressed as terminating decimal. So the correct answer is option is C

-1/2+(3/4x419) =

A. 1/9
B. 5/6
C. -1/5
D. -1/6​

Answers

9514 1404 393

Answer:

  D.  -1/6

Step-by-step explanation:

Your calculator can tell you the answer to this.

  [tex]-\dfrac{1}{2}+\left(\dfrac{3}{4}\cdot\dfrac{4}{9}\right)=-1/2+\dfrac{4\cdot3}{4\cdot9}=-\dfrac{1}{2}+\dfrac{3}{9}\\\\=-\dfrac{1}{2}+\dfrac{1}{3}=-\dfrac{3}{6}+\dfrac{2}{6}=\boxed{-\dfrac{1}{6}}[/tex]

Nuts Berry Farm sells nuts for $60 for 4 pounds. Today, and just for today only, Nuts Berry Farm is giving a 30% discount to all those who will buy nuts today. Enter how much, in dollars, is a pound of nuts today after the discount.

Answers

First you do $60 divided by 4 which equals $15
Then you take 1% of 15 which is 0.15 and multiply thirty percent by that and subtract thirty percent from 100% and get 70% which is 10.5

Parker is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?

Answers

Answer:60

Step-by-step explanation:

4*3*5

A class spends 1 hour 15 minutes on
English Language each school day. If
the total time spent in school each day
is 5 hour. What fraction of the time is
spent on English Language

Answers

Answer:

1/4

this is fraction of time spent on English language...

Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
A if you don't want to pay interest
B if you want to build a good credit history
C if you like carrying a lot of cash on you

Answers

Answer:

Step-by-step explanation:

B. You build credit by using credit cards so b is the answer.


What needs to be done before you can add or subtract in this equation?
X - 3/4 = 1/2
A)multiply by the reciprocal of 3/4
B)multiply by the reciprocal of 1/2
C)Find the LCD between 1/2 and 3/4

Answers

Answer:

A)

Step-by-step explanation:

which comprison is correct?
a. 3/2 < 1/3
b. 3/8 > 1/6
c. 11/6 < 3/4
d. 3/5 = 5/8​

Answers

Answer:

The second one

Step-by-step explanation:

USE THE BUTTERFLY TECHINQUE

3/8 O 1/6

18 3/8 O 1/6 8

18 > 8

3/8 > 1/6

Answer:

B is correct

3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes

FINALSSSSSS
I need help on this ASAP!!!!

Answers

Answer:

geometry?

Step-by-step explanation:

SHEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESH

68 - 4 × (6 - 4)4

pls help o-o

Answers

Answer:

Here you go!, hope it helped. 68-32x

Answer:

36 is the answer I think :D

help please!!!!!!!!!!!!!!!!

Answers

Answer:

D

The X Axis is the time, the Y Axis is the amount of pages being read.

A local pizza parlor is selling two different shapes of cheese pizza for the same price. You can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches. Which choice gives you more pizza

Answers

Answer:

It is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.

Step-by-step explanation:

Since a local pizza parlor is selling two different shapes of cheese pizza for the same price, and you can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches, to determine which choice gives you more pizza the following calculations must be carried out, knowing that the area of a square is equal to pi multiplied by the radius squared, and that the area of a square is equal to its side squared:

Round pizza:

Radius = Half the diameter

3.14 x 6 ^ 2 = X

3.14 x 36 = X

113.04 = X

Square pizzas:

(7x7) x 2 = X

49 x 2 = X

98 = X

Therefore, it is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.

Solve for y
4y = 32
Please answer!

Answers

Answer:

y = 8

Step-by-step explanation:

4t=32

Divide each side by 4

4y/4 = 32/4

y = 8

Answer: y = 8

Step-by-step explanation:

Firstly, you divide 4 ÷ 4y = 1y or more known as "y" then you do the same thing for the 32 (32 ÷ 4 = 8)

Finally, you write y = 8 and that is your final answer!

I hope this helps! Good luck with future homework and exams! <3

P.S Here's a fun fact! ~~

Hot water will turn into ice faster than cold water!

Right triangles 1, 2,
and 3 are given with all their angle measures and approximate side lengths.
35
8.2
120
10
9.4
10
2
70
55
5.7
3.4
6.4
7.7
3
50
40
10

Answers

Answer:

2.2

Step-by-step explanation:

I did it on khan

Right triangles have the measure of one of its angles to be 90 degrees

The ratio WY/WX is 0.36

From the triangle (see attachment), one of the angles of triangle WXY is 70 degrees.

This means that, the triangle is similar to triangle 1.

Similar triangles may or may not have congruent side lengthsSimilar triangles have equivalent ratios

So, by comparing the side lengths, we have:

[tex]WY = 3.4[/tex]

[tex]WX = 9.4[/tex]

The ratio is then calculated as:

[tex]\frac{WY}{WX}= \frac{3.4}{9.4}[/tex]

[tex]\frac{WY}{WX}= 0.36[/tex]

Hence, the ratio WY/WX is 0.36

Read more about similar triangles at:

https://brainly.com/question/14285697

Choose all the expressions that show this statement is true.

Answers

Answer:

F. or C.

Step-by-step explanation:

the area of a carpeted closet is 20 square feet . if the width of the closet is 3/2 feet , what is the width ? ​

Answers

Answer:

Length = 40/3 or 13.33 feet

Step-by-step explanation:

Given the following data;

Area of carpet = 20 feet

Width = 3/2 feet

To find the length of the carpet

Assuming that the shape of a carpeted closet is rectangular.

Area of rectangle = length * width

20 = length * 3/2

Multiplying both sides by 2/3

2/3 * 20 = length * 3/2 * 2/3

40/3 = length

Length = 40/3 or 13.33 feet

I need the answer I will mark brainlist pls

Answers

Answer:

8 I belive is C and 9 I think is D :)

help asap will mark branniest thx

Answers

Answer:

[tex](\pi)r ^{2} h \div 3[/tex]

Volume = 3.14 × 5² ×6 ÷ 3

volume = 157 cm³ B


Find the volume of the box.
3 ft
4 ft
5 ft
The volume of the box is
cubic feet________

Answers

Answer:

60 ft³

Step-by-step explanation:

GIVEN :-

Length of cube = 5 ftWidth of cube = 4 ftHeight of cube = 3 ft

TO FIND :-

Volume of cube

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cube = Length × Width × Height

SOLUTION :-

In the question , all the dimensions of the cube is given. So,

Volume of the cube = 5 × 4 × 3 = 60 ft³

Based on the calculation, the volume of the box is 60 cubic feet.

How to calculate the volume

To find the volume of a box, you need to multiply its length, width, and height. In this case, the dimensions of the box are given as:

Length = 3 ft

Width = 4 ft

Height = 5 ft

To calculate the volume, multiply these dimensions together:

Volume = Length × Width × Height

Volume = 3 ft × 4 ft × 5 ft

Volume = 60 cubic ft

Therefore, the volume of the box is 60 cubic feet.

Learn more about volume

https://brainly.com/question/27710307

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Factorise as fully as possible:

[tex]8x^{2} -4x[/tex]


Please help me! Got a big test tomorrow and I really want to make sure I have every skill under my belt.

Answers

Answer:

[tex]4x(2x−1)[/tex]

Step-by-step explanation:

[tex] {8x}^{2} - 4x[/tex]

[tex]4x(2x) - 4x[/tex]

[tex]4x(2x)+4x(−1)[/tex]

[tex]4x(2x−1)[/tex]

Hope it is helpful....

Any help would be greatly appreciated!

Answers

Answer:

the answer for that question is sqrt(49)

A cylinder has a radius of 8 cm and a height of 4 cm what is the approximate value of the surface area of the cylinder

Answers

Area of cylinder = curved area + 2 x base circle

Circles = 2 x π(8)² = 128π cm²

Curved area = circumference of circle x height of cylinder

Circumference of circle = 2πr = 2π(8) = 16π cm

Curved area = 16π x 4 = 64π cm²

Total surface area = 128π + 64π = 192π cm² = 603.19cm² (5sf)

Find the Area of the shaded region. Round your answer to the nearest tenth.

Answers

Answer:

610 m^2

Step-by-step explanation:

Area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of the outer rectangle

l = 42

b = 25

a = l*b = 42*25 = 1050m^2

Area of the inner rectangle

l = 22

b = 20

a = l*b = 22*20 = 440m^2

Therefore, the area of the shaded region is = 1050 - 440

                                                                         = 610m^2

Thank You

Hope u understood

Please mark as the brainliest

610 m^2



your welcome

Find the volume of this cylinder.
Round to the nearest tenth.
16cm
4 cm
[?] cm3

Answers

The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².

What is the volume of a right circular cylinder?

The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Suppose that the radius of the considered right circular cylinder is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The volume of the given cylinder is,

Volume of the cylinder = (π/4) × (4cm)² × 16cm

                                      = 201.062 cm²

Hence, the volume of the given cylinder is 201.062 cm².

Learn more about the Volume of the Cylinder:

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What is 5 / 7 ÷ ½ ?
step by step pls

Answers

Answer:

1 3/7

Step-by-step explanation:

5 / 7 ÷ ½

Copy dot flip

5/7 * 2/1

10 /7

Changing from an improper fraction

7/7 + 3/7

1 3/7

To divide by a fraction, multiply by its reciprocal.
5/7•2

Multiply 5/7•2


Combine 5/7 and 2
5•2/7
Multiply 5 by 2
10/7

Exact form: 10/7
Decimal form: 1.428571
Mixed form: 1 3/7

the graph of f(x)=x^2 will be translated 5 up and 2 units to the right .which function describe the graph produced by the translation

Answers

on no no on 654 up down there

2x^+7x - 15= 0 If r and s are two solutions of the equation above and r > s which of the following is the value of r-s?

Answers

Answer:

6.5

Step-by-step explanation:

You failed to include the choices

Subtract the sum of -6 and -2 from -18. *

Answers

Answer:

-26

Step-by-step explanation:

Because -6+ -2= -8

-18- 8= -26

Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
(a) If the order of the choices is relevant, how many ways can this be done?
(b) If the order of the choices is not relevant, how many ways can this be done?

Answers

Answers:

(a) 73440(b)  3060

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

18 choices for slot A17 choices for slot B16 choices for slot C15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

-----------------------------------

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

[tex]_nC_r = \frac{_nP_r}{r!}[/tex]

which can be rearranged into

[tex]_nP_r = r!*\left( _nC_r \right)[/tex]

these formulas are handy to help us go back and forth between nCr or nPr.

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

What are combination and permutation?

Combination is a way of selecting items from a collection where the order of arrangement is not relevant.

It is given by:

[tex]^nC_r[/tex] = n! / r! (n-r)!

Permutation is a way of selecting items from a collection where the order of the arrangement is relevant.

It is given as:

[tex]^nP_r[/tex] = n! / (n-r)1

We have,

Number of distinct colors = 18

Number of colors to be chosen = 4

The number of ways the four colors be chosen when the order is not relevant:

= [tex]^{18}C_4[/tex]

= 18! / 4! 14!

= 18 x 17 x 16 x 15 / 4 x 3 x 2

= 3060

The number of ways the four colors be chosen when the order is relevant:

= [tex]^{18}P_4[/tex]

= 18! / 14!

= 18 x 17 x 16 x 15
= 73440

Thus,

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

Learn more about combination here:

brainly.com/question/2970011

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A basketball player made 135 of the 225
foul shots he took in 4
games.

How many shots will he make in his next game if he attempts 30 foul shots?

Answers

135/225=3/5

3/5 times 6 on both sides=18/30

so he will make 18 shots

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