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.

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Related Questions

Jay decides to walk home from school today. He lives 3 miles from school and can walk home in 45 minutes. At what rate is Jay
traveling?
A)
1 mile/10 minutes
B)
1 mile/15 minutes
o
1 mile 20 minutes
D)
1 mile/30 minutes

Answers

To find out the answer you would divide 45 by 3.

45/3 = 15

Therefore the answer is B -
1 mile/15 minutes

Answer:

b 1mile/10 min

Step-by-step explanation:

Solve the math problem

Answers

Answer: Slopes

Step-by-step explanation:

1. slope is [tex]\frac{4}{3}[/tex]

2. slope is [tex]\frac{1}{2}[/tex]

3. Slope is [tex]\frac{4}{2}[/tex] or 2

4. slope is [tex]\frac{3}{2}[/tex]

The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.

Select EACH correct statement about the scenario.

[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.

*Multiple Choice*

Answers

The correct statements about the scenario are;

The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.

According to the function given;

p(t)=4+2(t−1)

Evidently, the function, p(t) represents the number of people that can sit when t tables are available.

T(n) = a + d(n -1)

In essence, the function resembles that of a general arithmetic progression with first term, a = 4.

The common difference, d = 2.

The statements which are correct are therefore as listed above.

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please help me, what is this

Answers

Answer:

Proof:

In ΔCDB

∵ The sum of all angles of triangle = 180°

∴ m∠B + m∠C + m∠D = 180°

R3. Their sum = 180 (They form straight angle)

S4. ∠B + ∠A = 180°

R5. Triangle angle sum theorem (Sum of all angles of triangle = 180°)

on a sunny day liam decided to walk to his grandmother's house. After walking for a while at a rate of 3 mph, Liam realized that it might start raining, so he decided to take a taxi the rest of the way. The taxi traveled at a speed of 30mph. If he arrived 2 hours before he started, what distance did liam traveled by taxi?

Answers

The answer is ten. The formula for calculating speed is as follows:

Speed = distance × time. Knowing the distance and time units is required to calculate the speed units.

Explain about the speed?

A bicycle that travels 30 meters in two seconds, for example, is moving at a rate of 15 meters per second. The speed of an object in motion varies frequently (for example, a car may travel down a street at 50 km/h, then slow to 0 km/h, and then accelerate to 30 km/h).

The rate at which a distance changes over time is referred to as speed. It has a dimension of time and distance. As a result, the SI unit of speed is formed by combining the fundamental unit of time and the fundamental unit of distance. As a result, the SI unit of speed is the meter per second (m/s).

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In triangles ABC and AWXY, ZA= Wand ZB= ZX.
Which of the following must to be true to prove AABC= AWXY by the AAS
theorem?
A. ZCZY
B. BC XY
O
C. AB BC
D. ABW

Answers

Answer:

c

Step-by-step explanation:

The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

We are given,

Triangles ABC and WXY having ∠A=∠W and ∠B=∠X

Now, it is give that the triangles hold AAS theorem.

Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.

So, by AAS Theorem, the corresponding sides between these angles must be  equal.

Thus, we have, AB = WX.

Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

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Sally wants to buy a dishwasher.
The dishwasher costs £384
Sally will pay a deposit of £42
She will then pay the rest of the cost in 6 equal monthly payments.
How much is each monthly payment?

Answers

Answer:

£56

Step-by-step explanation:

sadly already payed £42 of the price

so 384-42= 342

now she gonna pay the same amount of money every month from what left to be payed

so 342÷6=56

she gonna pay £56 every month for 6months

Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.

Sadly, I've already saved £42 on the purchase.

=384-42

= 342

She will now make equal monthly payments from the remaining balance.

=342/6

=56

Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

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how to graph x+y=1 & is it linear

Answers

Answer:

Step-by-step explanation:

Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.

HELPPP PLSSS 50 POINTS IDC

Answers

Answer:

1.x=0 or x=3

2.x=5

3.x=0 or 10/3

4.x=0 or 5/3

1. X=0,3
2. X=5
3. X=0
4. X=0

Please Help, im stuck

Answers

Answer:

[tex]6^{9} * 6^{-3}[/tex]

What is an algebraic expression for this word phrase?

5 more than the product of 7 and n


5 + 7n

5(7+n)

7(5+n)

5 + 7 + n

Answers

The first choice, 5+7n.

Khan academy What is the slope of the line?

Answers

Answer:

Slope: 3/4

Step-by-step explanation:

If you want the equation for the line:

y = (3/4)x - 1

However, this is how you find the slope:

You want to find any two point on the graph, however, it's easier if it touches exactly where two number meet. For example I chose:

(0,-1) and (2,4)

Now just find the change in y, and divide it by the change in x

change in y = 3

change in x = 4

So your slope is 3/4

Answer:

3/4

Step-by-step explanation:

4×8 is it positive or negative

Answers

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!

which of the ratio equivalent to 1:3 select all that apply

Answers

Answer:

4:12

6:18

8:24

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.

Someone help me please

Answers

Step-by-step explanation:

Q6

answer A, as x² is the regular parabolic curve up. and x²-3 just shifts this curve down by 3 units. and that is what we need, as the extreme point of the curve is a bit below the x-axis, and therefore has a negative y value.

Q7

answer C, as this curve is the complete opposite of the curve in Q6.

it is the regular parabolic curve but down. that means -x².

but the extreme point is a bit above the x-axis (and has therefore a positive y value). -x²+3 shifts the parabolic curve up by 3 units.

Q8

answer A again. the functional values are only positive (the whole curve is above the x-axis). so, C and D are therefore wrong.

and between A and B we need to remember, that a negative exponent means 1/...

in case of B 1/(2^x).

and that would mean for large positive x we would get very small values for y.

but we see the opposite. for large x we also get large y.

so, it is 2^x (answer A).

How many terms are in the algebraic expression 2x2 - 3y +5?
show work

Answers

Answer:

3 terms

Step-by-step explanation:

2x² - 3y + 5

= 2x² / - 3y / + 5

The 3 terms are 2x² , - 3y and + 5

Can someone let me know how to work these out. I don’t want the answer i want the method please!!

Answers

Answer:

45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y

47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16

49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y

Answer:

Step-by-step explanation:

factorization, is that how u call it? S: Im not good at english

49 = 7x7, right?

and

7 = 7 x 1

then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)

7*7x = 49x

7*1y = 7y

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

1*7 -----> 7(7x + 1y)

              -------------

                    7

Simplify 7/7 = 1

answer = 7x +y

Write the equation.Please help

Answers

Answer: y=3x

Step-by-step explanation:

We want an equation of the form y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0).

The slope: From the point (0,0), the braph goes to point (2,6). Slope is the rise (y) over the run(x): (6/2) or 3. The slope, m, is 3. b, the y-intercept, is 0. y is 0 when x is 0.

y=3x

Evaluate for b

50 = -1/3b + 20

Answers

Answer:

50=−13⋅+20

Step-by-step explanation:

I’ll give thanks, 5 stars and brainliest
Continue the pattern till the tenth digit. 1, 4, 9, 16,...

Answers

Answer:

25,36,49,64,81,100

................................

Answer:

Your answer is 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Step-by-step explanation:

1 - 4  

+ 3

4 - 9

+ 5

9 - 16

+ 7

+9, +11, +13, +15, +17, +19...

Please help me please help please help me :)

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When the variation is direct, the ratio of y to x is a constant (the constant of proportionality).

  19/5 = 22.8/6 = 26.6/7 = 30.4/8 = 3.8

The table is another representation of the proportional relation ...

  y = 3.8x

Yes, the variation is direct.

What’s the domain and range of f(x) = 72 - 1/6x?

Answers

Answer:

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

Fill in the missing information

Answers

Answer:

Step-by-step explanation:

1)  AB ≅ AD    Given

BC ≅ BD

2) Given

3) AC ≅ CA         Reflexive property

ΔABC ≅ ΔADC  

4) S S S Congruent

5)∠B ≅∠D            CPCTC

PLEASE HELP ASAPP!!!!!!!!! <3

Answers

Answer:

1) 9

2) 8

3) 5

4) 72

5) 40

6) 3

Step-by-step explanation:

1) 5 times 9 equals 45, then you add 5 to get 50.

2) -2 times 8 equals -16, minus 3 is the same as adding a -3 to get -19

3) 7 times 5 equals 35, plus 1 to get 36.

4) 72 divided by 6 equals 12, minus 10 to get 2.

5) 40 minus 14 equals 26, divided by 2 to get 13.

6) 3 times 3 equals 9, minus 5 to get 4 then multiplied by 4 to get 16 as your final answer.

I have to go but here are answers 1-6 I will work on 7-11 later. Sorry! Tell me if you have any questions though!

4+6i=5i-3 can someone please help me solve this equation

Answers

Answer:

42- 2i

Step-by-step explanation:

Question number eight.

Answers

Answer:

true

Step-by-step explanation:

a to there powe8 and a to the power1

what is the answer to this

Answers

Answer:

G.

Step-by-step explanation:

A train travels at a constant rate of 45 miles per hour
What is the distance, d, in miles ,that the train traves in t hours?

Answers

Answer:

d=45t

Step-by-step explanation:

Plug 1 in for t

d=45(1)

d=45

so after one hour, the train travels 45 miles

evaluate 5/11 -9/11 answer

Answers

Answer:

Exact Form:

−4/11

Decimal Form:

0.36

Step-by-step explanation:

Subtract 5/11 from 9/11 to get your answer.

Simplify the expression.

-kiniwih426

Multiply 5x(6x−4)

A- 11x^2+x
B- 30x^2 - 4
C - 30x^2 + 20x
D - 30x^2 - 20x

Answers

D

30x/2-20x


It’s D

The answer
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