Given the definition of rational numbers, are decimals like 0.5 and 0.3 rational numbers? Why or why not?

Answers

Answer 1

Answer:

Yes they are rational numbers

Step-by-step explanation:

Answer 2

Given decimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

What are rational numbers?

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminating decimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

Also, Learn more about rational numbers from the link below:

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Related Questions

A square has a perimeter of 20 ft. What is the length of each side?

Answers

Answer:

5

Step-by-step explanation:

the length is 5 because each side with equal to 5

5+5+5+5=20

Zach bought his parents anniversary gifts. His dad's present cost $25. He bought his mom 3 presents (p) that all cost the same amount. If he paid a total of $40, how much did each of his mom's gifts cost?
What is the value of p in the equation?
25 + 3p = 40

Answers

1) 40-25= 15
2) 15/3=5
3) each gift costs $5

Then to check:
1) 5x3=15
2) 25+15=40
Therefore p=5

Answer:

5

Step-by-step explanation:

find the sum of the even integers from 20 to 50.


with solutions please help​

Answers

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

What is the answer to -9u for u=-5

Answers

Answer:

-9 × u

= -9 × -5

= 45 [(-) × (-) = (+)]

Step-by-step explanation:

brainliest plz

Answer:

45

Step-by-step explanation:

-9(-5)=45

please mark me brainliest

In scientific notation, 670,000,000 + 700,000,000 = ?

Answers

Answer:

1.37 x 10 -9

Step-by-step explanation:

6.7x10^8 + 7x10^8 or 1.37x10^9 if you add them before scientific notation

Help!! Anyone? Don’t give answer that is gibberish just so you can earn points

Answers

Answer:

I am not sure but this is what I got

Step-by-step explanation:

1/3, 1/4, 2/5are the fractions. when we find the LCM= 60

the fractions become 20/60, 15/60 and 24/60

add all of them we get 59/60

total = 60/60

total -used part of cake = unused part of cake

60/60 - 59/60 = 1/60

hope it helps :) pls check if there are any mistakes

can anyone helpp meeee???

Answers

Answer:

Look at the photo.................

Which of the following is most likely the next step in the series?
B.
SUBMIT

Answers

A is most likely next

Answer:

I would say A.

Step-by-step explanation:

The pattern is blue, red, red, blue, blue, red, so then another red?

I apologize if im incorrect

Hi, I need help with this math . What is inpendent and dependent variable in question?
Here's the question: The formula for the surface area of a right rectangular prism is a=2LW+2HW+2H , where l, w, and h represent length, width, and height , respectively, which term of this formula is not dependent on the height?
1) A
2) 2LW
3) 2HW
4) 2LH

Answers

Answer:

Answer is option 2 (as it doesn't contain H)

Step-by-step explanation:

If you like my answer than please mark me brainliest

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The term in the formula which isn't dependent on height is :

2.) 2LW

May I please receive help?

Answers

Answer:

81+71+x=180

152+x=180

x=180-152

x=28°

Step-by-step explanation:

Hope that this is helpful.

Have a great Day.

HELP, VERY EASY MATHS QUESTION

Answers

Answer:

z=7

Step-by-step explanation:

area = ½ × (a + b) × h.

260 = 37 + 4z × 8 ×0.5

260/0.5 = 520

520/8=65

37 + 4z = 65

65-37 = 28

28/4=7

z=7

Answer:

7

Step-by-step explanation:

1/2 (37 + 4a)  8  = 260       260/8 = 32.5    32.5 * 2 = 65    65-37=28   28/4 = 7  a = 7

Victor has 2 times as many trophies as dean . Together, victor and Dean have 27 trophies . How many trophies does victor have?

Answers

Answer:

18

Step-by-step explanation:

9 + 18 = 27

9 x 2 = 18

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
Will give Brainliest :)

Answers

Answer:

7.5m

:) hoped this helped!

Step-by-step explanation:

This is a 30-60-90 triangle.
What is the measure of x?
18
X
X
x = 9V [?]

Answers

Answer:

[tex] \huge\: x =9 \sqrt{ \boxed{3}} [/tex]

Step-by-step explanation:

Given is a 30°-60°-90° triangle and x is the length of side opposite to 60° angle.

[tex] \therefore \: x = \frac{ \sqrt{3} }{2} \times 18 \\ \\ \therefore \: x = \sqrt{3} \times 9 \\ \\ \huge\therefore \: x =9 \sqrt{ \boxed{3}} [/tex]

Answer:

3

Step-by-step explanation:

please answer the question :]

Answers

oh my god what is this, i rather die than do this im so sorry but i cant help

Help me with this please

Answers

Answer:

f(-5) = 4(-5) + 1 = -20 + 1 = -19

f(-1) = 4(-1) + 1 = -4 + 1 = -3

f(2) = 4(2) + 1 = 8 + 1 = 9

f(3) = 4(3) + 1 = 12 + 1 = 13

f(5) = 4(5) + 1 = 20 + 1 = 21

Which ordered pairs are solutions to the inequality 2x +y > -4? Select each correct answer. (0, 1) (-3,0) (4 – 12) (-1, -1) (5,- 12 )​

Answers

Answer:

(5,-12)

(-3,0)

(-1,-1)

Step-by-step explanation:

For (4, −12): 2(4) - 12 = 8 - 12 = -4                  [false]

For (−3, 0): 2(-3) = -6 < -4                                [false]

For (5, −12): 2(5) - 12 = 10 - 12 = -2 > -4         [true]

For (0, 1): 2(0) + 1 = 1 > -4                              [true]

For (−1, −1): 2(-1) - 1 = -2 - 1 = -3 > -4            [true]

Therefore, (5, -12), (0, 1) and (-1, -1) satisfies the inequality 2x + y > -4

For (7, 12): 12 - 2(7) = 12 - 14 = -2 > -3                   [false]

For (0, −2): -2 - 2(0) = -2 > -3                                   [false]

For (5, −3): -3 - 2(5) = -3 - 10 = -13 < -3                   [true]

For (−6, −3): -3 - 2(-6) = -3 + 12 = 9 > -3                  [false]

For (1, −1): -1 - 2(1) = -1 - 2 = -3                              [true]

Therefore, (5, -3) and (1, -1) satisfy the inequality y - 2x ≤ -3

The situation is represented by 2.25x + 2.65y ≥ 8

maths help me maths giving 10 point​

Answers

Well because prime numbers are prime none of them divide evenly by four but the ones that are divided by 4 and less than 3 are, 2,3,5,7,11.

Help me do this plzzz

Answers

that is so easy to do omg plss say me what is grade

Use the figure below to answer the following questions.
What is m∠1?

70
50
90
40

Answers

Answer:

40

Step-by-step explanation:

why ? because the total angle measure in triangle is 180degree so we have a right angled triangle so 90+50 = 140

180-140 = 40

hope it's correct

which is an equation of the line with a slope of 1/4 and a y-intercept of -2?

Answers

Answer:

y = 1/4x -2

Step-by-step explanation:

If the slope is 1/4, then you must multiply x by 1/4. If we plug 0 into 1/4x, we get 0, but we need -2, so we must subtract 2 in the equation.

Mario measured the depth of the river as a function of time and graphed his findings. Use this graph to answer the following question.



What is the maximum depth of the river?

1 meter


22 minutes


10 meters


9 minutes

Answers

Answer:

10 meters

Step-by-step explanation:

highest value on y-axis

Amelie has three dogs, Max, Jasmine, And Springer. She buys a bag of dog food that contains a special mix.

Each dog gets a different amount of the food based off of there weight. Max gets 1/4 of the bag, Jasmine gets 1/3 of the bag, and Springer gets the rest. what fraction of the bag dose Springer get?

I will give BRAINLIEST to the person that solves this.

Answers

1/4 is the same as 3/12 and 1/3 is the same as 4/12. The full bag of dog food can be represented by the fraction 12/12. So if we subtract 3/12 and 4/12 from 12/12 we will be left with the rest of the dog food(which springer get fed), which is 5/12

If Max gets 1/4 of the bag, Jasmine gets 1/3 of the bag then Springer gets 5/12 of the bag of dog food.

What is Fraction?

A fraction represents a part of a whole.

Given that Amelie has three dogs, Max, Jasmine, And Springer.

Max gets 1/4 of the bag, Jasmine gets 1/3 of the bag, and Springer gets the rest.

We have to find the fraction of the bag dose Springer get

Let's first add up the portions of food that Max and Jasmine get.

Max's portion = 1/4

Jasmine's portion = 1/3

The total of their portions is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

This means that Springer gets the remaining portion of the bag:

1 - 7/12 = 5/12

Therefore, Springer gets 5/12 of the bag of dog food.

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k= 100- 4n
what is n if k is 99 ​

Answers

Answer:

1/4 or 0.25

Step-by-step explanation:

k= 100- 4n

what is n if k is 99 ​

-------

99 = 100 - 4n

4n = 100 - 99

4n = 1

n = 1/4 or 0.25

--------------check

99 = 100 - 4 × 1/4

99 = 100 - 1

99 = 99

the answer is good

if you were born 10 years ago how old would you be:

Answers

Step-by-step explanation:

Add 10 to the age you are now and get an answer.

Your age will be 10 years old.

What is riddle?

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical.

Given that we need to find if you were born 10 years ago how old would you be,

So, you will be 10 years old.

It because when you born 10 years ago, The same as your age.

Thats the puzzle when someone's questions, that called Riddle.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Hence Your age will be 10 years old.

Learn more about riddles click;

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A square has an area of 4 square feet. What is the perimeter of the square, rounded to the nearest foot?

A. 8
B. 12.5
C. 28
D. 200​

Answers

Answer: A. 8 feet

Explanation:
A = L*W
Since the shape is a square, all sides are the same length. The square root of 4 is +- 2, but the value will be positive 2 because distance can’t be negative. If each side has a length of 2 feet, and a square has 4 sides, 2*4 = 8. The perimeter is 8 feet.

PLEASE HELP IT’S DUR TMR

Answers

Answer:

10+10+10

Step-by-step explanation:

The location of the vertex Q after the dilation is (-2,-2). What is the location of vertex M after the dilation?

Answers

The location of vertex M after the dilation by a factor of 1/4 is at (-4, 3)

Dilation is a way of moving an object from a point on a plane to another location.

From the diagram attached, the coordinate of the vertex Q is at (-8, -8).

If the vertex Q after the dilation is (-2,-2), this means that the original coordinate is dilated by a factor of 1/4.

The vertex of coordinate M from the diagram is (-16, 12). Dilating the coordinate using a scale factor of 1/4 will give;

M' = (-16/4, 12/4) = (-4, 3)

Hence the location of vertex M after the dilation is at (-4, 3)

Learn more here: https://brainly.com/question/22137320

Use long division to divide and use the result to factor the dividend completely.

(5x2-13x - 28) + (x – 4)

Answers

The answer is:
Factor the expression

(5x² - 13x -28)/(x-4) = (x-4)(5x+7) so x = -7/5  and x = 4 are the two factors of the given polynomial.

What is a factor of a polynomial ?

The factors of a polynomial are those values of x for which the given polynomial satisfies.

According to the given question we have to divide a polynomial            (5x² - 13x -28) by (x - 4).

(5x² - 13x -28)/(x-4) = (x-4)(5x) + (7x - 28).

(5x² - 13x -28)/(x-4) = (x-4)(5x+7).

So, the obtained factor is (5x+7) = 0.

∴ 5x + 7 = 0

5x = -7

x = -7/5 is a factor of the given polynomial and by substituting these value in x.

(5x² - 13x -28)

5(-7/5)² - 13(-7/5) - 28 = 0

5(49/25) + 91/5 - 28 = 0

49/5 + 91/5 - 28 = 0

140/5 - 28 = 0.

28 - 28 = 0

0 = 0     ( hence satisfied that -7/5 is a factor of the given polynomial ).

learn more about polynomials here :

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100 points for right answer

Answers

Answer:

x=6

Step-by-step explanation:

Step 1: Cross-multiply.

x−3  / 5 = 6 /10

(x−3)*(10)=(6)*(5)

10x−30=30

Step 2: Add 30 to both sides.

10x−30+30=30+30

10x=60

Step 3: Divide both sides by 10.

10x 10 = 60  10

Answer:

hope it helps you................

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