Is the decimal form of 19/3 a rational number?

Answers

Answer 1

Answer:

yes it is because it can be written in fraction form


Related Questions

Nancy decides to roll a dice three times. What is the probability that she will roll all even numbers?

Answers

Given:

Nancy decides to roll a dice three times.

To find:

The probability that she will roll all even numbers.

Solution:

If a dice is rolled, then the possible numbers are

Total number = {1,2,3,4,5,6} = 6

Even numbers = {2,4,6} = 3

Odd numbers = {1,3,5} = 3

Probability of getting an even number [tex]=\dfrac{\text{Even number}}{\text{Total numbers}}[/tex]

[tex]P(\text{Even})=\dfrac{3}{6}[/tex]

[tex]P(\text{Even})=\dfrac{1}{2}[/tex]

So, probability of getting all even numbers is

[tex]P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})[/tex]

[tex]P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}[/tex]

[tex]P(\text{All even})=\dfrac{1}{8}[/tex]

Therefore, the required probability is [tex]P(\text{All even})=\dfrac{1}{8}[/tex].

The probability that Nancy will roll all even numbers will be:

"[tex]\frac{1}{8}[/tex]".

Probability

According to the question,

Number of times dice rolled = 3

Total numbers = {1, 2, 3, 4, 5, 6}

                        = 3

Even numbers = {2, 4, 6}

                        = 3

Odd numbers = {1, 3, 5}

                       = 3  

Now,

The probability of getting even numbers will be:

= [tex]\frac{Even \ numbers}{Total \ numbers}[/tex]

= [tex]\frac{3}{6}[/tex]

= [tex]\frac{1}{2}[/tex]

hence,

The required probability be:

= P(Even) × P(Even) × P(Even)

= [tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}[/tex]

= [tex]\frac{1}{8}[/tex]

Thus the above answer is correct.

Find out more information about probability here:

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Zander and Chloe were comparing the number of texts they send. Zander has already sent 38 texts and says he sends 28 texts per day. Chloe has sent 52 texts already and says she send 26 texts a day. After __ days, Zander and Chloe will have sent the same amount of texts. A. 5 days B. 6 days C. 7 days D. 9 days

Answers

Answer:

(C) 7

Step-by-step explanation:

We can create an equation here.

We know that Zander has 38 texts. He sends 28 texts per day.

Let us represent x as the number of days.

This can be represented as an expression, [tex]38+28x[/tex].

Same logic for Chloe.

52 texts already, 26 texts per day: [tex]52+26x[/tex]

If their texts are equal, both expression are equivalent to each other.

[tex]38+28x = 52+26x[/tex]

We can simplify this equation to get x on one side of it.

Subtract 38 from both sides:

[tex]28x = 14+26x[/tex]

Subtract 26x from both sides:

[tex]2x =14[/tex]

Divide both sides by 2:

[tex]x = 7[/tex]

So, Chloe and Zander will have sent the same amount of texts after 7 days.

Hope this helped!

Given f(x) = 3x + 4. Find F-1(7)

Please help I’ll give you brainiest answer 100points!!!!!

Answers

Answer:

f⁻¹(7) = 1

Step-by-step explanation:

Step 1: Write out function

f(x) = 3x + 4

Step 2: Find f⁻¹(x) (or known as inverse f(x))

y = 3x + 4

x = 3y + 4

-3y + x = 4

-3y = 4 - x

y = -4/3 + x/3

Step 3: Plug in 7 into inverse f(x)

f⁻¹(7) = 7/3 - 4/3

f⁻¹(7) = 3/3

f⁻¹(7) = 1

Answer: Guy above me is right

Step-by-step explanation:

Which of the following measurements is a little more than 3 feet?

Answers

None of the measurements on the list you provided is more than 3 feet.

Help ASAP!!!!!!!!!!!!!!!!!!!!

Answers

-1. 0. 1. 2
3 7. 11. 15

Convert 50 grains to milligrams

Answers

Answer:

3239.95

Step-by-step explanation:

Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0

Answers

Answer:

1 / 4c+5

Step-by-step explanation:

Given :

4c + 5 ≠ 0

c is a real number.

Find the multiplicative inverse of equation ?

The multiplicative inverse of a number is reciprocal of number

Let

x = a number

The multiplicative inverse = 1/x

Let 4c + 5 ≠ 0 be a number x

Then, the multiplicative inverse of x = 1/x

x = 4c + 5

1/x = 1 / 4c+5

Therefore, the multiplicative inverse of 4c + 5 = 1 / 4c+5

Answer:

yes what he said

Step-by-step explanation:

on edge

what is the area of a small triangle.

Answers

Answer:

u can figure it out by using the formula 1/2 the base x height

Step-by-step explanation:

Answer:

to find the area of a triangle you will do A(area)=h(height)times b(base) over 2

How do you do both questions?

Answers

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well

Answers

Answer:

3x-y=-13

Step-by-step explanation:

y-3x=13

Use the commutative property to reorder the terms

-3x+y=13

Change the signs on both sides of the equation

3x-y=-13

If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?

Answers

The answer should be 24

To cover the room of given dimensions 4 gallons of paint is needed.

What is an Area?

The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.

Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high

Surface area of room = 2(l+b)*h

= 2(30+20)*12

= 1200 in²

1 gallon for 300 in², therefore 1200/300 =4 gallons for 1200 in²

Hence, To cover the room of given dimensions 4 gallons of paint is needed.

For more references on Area, click;

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If 40% of a number is 32, find 10% of that number.

Answers

Answer: 8

10% of that number would be 8.

Explanation:
Since the problem is basically a= p% of b I took 32 and divided it by .40 (which is also equal to 40%) and received the answer of 80.
Then since the question asked what 10% of that number (which is 80) I took .10 and multiplied it to 80 and received 8 as the answer.

Answer:

8

Step-by-step explanation:

Can anyone help me with my algebra work for #14 and #15?

Answers

14.yes
15. EDF,FDE,ED,FD,DE and DF
(i think this is correct)

Leah is 2 less than 3 times Rachel's Age. 3 years from now, Leah will be 7 more than twice Rachel's Age. How old will Rachel be in 3 years from now?​

Answers

Answer:

I THINK rachel will be 12

Step-by-step explanation:

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40. After one month, Paul bought 21 passes and spent a total of $38.40. How much did he spend on the student discount card? Paul spent $ on the student discount card.

Answers

1.40 x 21 passes = 29.40 for passes.

38.40 - 29.40 = 9.00

He spent $9.00 on the card

ax + b = c for x. is what I want to know

Answers

Answer:

[tex]x=\frac{c-b}{a}[/tex]

Step-by-step explanation:

[tex]ax+b=c\\\\ax+b-b=c-b\\\\ax=c-b\\\\\frac{1}{a}(ax)=\frac{1}{a}(c-b) \\\\x=\frac{c-b}{a}[/tex]

x +2y = 5
5x -y = 3
I need help with my homework please anyone

Answers

Answer:

Step-by-step explanation:

When people clear land to build a house or to plant corn and other crops, they are primarily modifying the __________. A. atmosphere B. hemisphere C. hydrosphere D. lithosphere

Answers

Answer:

d lithosphere

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

i just took the test

A portrait without its frame has a height 1.5 times its width w, in inches. The width of the frame is 4 inches on all sides. What is the area of the frame

Answers

Answer:

Step-by-step explanation: Multiply 4 x 4 or add each side together.

4 x 4 = 16 x 1.5 = 24

The area is 24

Given that every fifteenth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:

We know that every 15th person gets a free box of popcorn.

This depends on order, but nobody knows what is his actual position, so we can assume that:

of 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

1/15

And the negation, (the probability of not getting a free box) is:

1 - 1/15 = 14/15 = 0.93...

The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]

Probability :

Given that, from 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

                                 [tex]P(E)=\frac{1}{15}[/tex]

the probability of not getting a free box is,

           [tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]

Learn more about the probability here:

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Find the value of x.

Answers

Answer:

x + 43 = 180

x = 180 -43 = 137

Step-by-step explanation:

Find the number that should be added to the expression to make it a perfect square. k^2-5k

Answers

(K-5/2)^2-25/4 is your answer

Answer:

25/4

Step-by-step explanation:

What degree is the polynomial function shown on the graph? A) third B) fourth C) fifth D) sixth

Answers

uhh where is the graph?

Answer:

Step-by-step explanation:

Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Answers

Answer:

1.0638

Step-by-step explanation:

Given the question:

If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Torque = 12 Newton centimeter

Torque which is the turning effect on an object :

1 Newton = 0.225 pound force

1 centimeter = 0.394 inch

Hence ;

1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch

12 Newton centimeter is hence, equals :

(12 × 0.225 × 0.394) pound inch

= 1.0638 pound inch

What is ZT?
4x + 1
W
Х
2x
T
Z
Y
5x - 6
A 7
B. 14
C. 28
D. 29

Answers

Answer:

2x+14=12

Step-by-step explanation:

when you look the figure you can see the 2 arrows on the side which means they are constant and so you go on the xY and do 5x-6+4x+1 and solve

The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

The parallelogram WXYZ is shown.

We know that the opposite sides of a parallelogram are congruent to each other. Then we have

YZ = WX

5x - 6 = 4x + 1

5x - 4x = 1 + 6

x = 7

Then the length of the ZT will be

ZT = 2x / 2

ZT = x

ZT = 7

The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.

More about the parallelogram link is given below.

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Wha t is the surface area of the square pyramid represented by the net below

Question
112
48
64
96

Answers

Answer:64

Step-by-step explanation:multiply the two numbers

Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.35 0.26 0.2 0.14 0.09 (a) Find the average change of C with respect to t over each time interval. (i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below:

Time, t (hours)__1.0__1.5__2.0__2.5__3.0

C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09

Average change of C with respect to t over the interval :

(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Average change = ( change in C / change in t) = C2 - C1 / t2 - t1

1) [1.0, 2.0]

C at t = 1 = 0.35 ; C at t = 2 = 0.20

(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr

11) [1.5, 2.0]

(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr

111) [2.0, 2.5]

(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr

iv) [2.0, 3.0]

(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr

The sum of three consecutive integers is -216. List the numbers from smallest to largest:
Check Answer

Answers

Answer:

Step-by-step explanation:

One

Answer:

-73,-74 and -75

Step-by-step explanation:

1st No=x

2nd No=x+1

3rd No=x+2

x+(x+1)+(x+2)=-216

x+x+x+2+1=-216

3x+3=-216

3x=-216-3

3x=-219 (÷ b.s by 3)

x=-73

1st No=-73

2nd No=-73+1

3rd No=-73+2

A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
Expression 1: −3(2x−6y)−2x
Expression 2: 18y−8x
Which of the following options could the student use to provide proof that the two expressions are equivalent? Select TWO that apply.
A
They could multiply expression 2, (18y−8x) by −3 and then compare their result to expression 1.

B
For expression 1, they could multiply (2x−6y) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.

C
For expression 1, they could multiply (2x) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.

D
They could substitute in the values x=1 and y=2 into both expressions, solve the expressions, and determine if both expressions result in the same value.

E
They could substitute in the values x=1 and y=1 into expression 1 and x=2 and y=2 into expression 2. Then, they could solve both expressions and determine if both expressions result in the same value.

Answers

Answer:

The answer is B

Answer:

The answer is B and A

Step-by-step explanation:

please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3

Answers

Answer:

Step-by-step explanation:

Part (A).

Row                Number of seats

1                                 9

2                                11

3                                13

4                                15

5                                17

6                                19

7                                21

(B). Jonathan models the equation for the pattern of number of seats as,

S = 7r + 2

Where S = number of seats in every row 'r'

For r = 1,

S = 7(1) + 2 = 9

Models for row 1.

For r = 2,

S = 7(2) + 2 = 16

Not correct.

For r = 3,

S = 7(3) + 2 = 23

Not correct.

Therefore, this equation doesn't work for the rows above the first row.

(C). Correct equation is,

S = 2r +7

For r = 1,

S = 9

For r = 2,

S = 4 + 7 = 11

For r = 3,

S = 6 + 7 = 13

Therefore, this equation works for all the rows.

(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)

(E). 91 = 2r + 7

     2r = 91 - 7

     2r = 84

       r = 42

Therefore, in 42nd row number of seats = 91

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