This why is the product of 2 rational numbers always rational

Answers

Answer 1

Answer:

Adding two rational numbers is like adding two positive numbers, or two like fractions.


Related Questions

URGENT. Find f(3) if
f(x)=x^3 + 2x^2-x-1

Answers

Answer:

41

Step-by-step explanation:

Jus replace x with 3 and put it in a calculator.

The answer is 41 because x = 3

Vector Calculus

A particle of mass m move along the path σ(t)={t^2,sin t, cos t} Calculate the force acting on the particle t=0.

Answers

It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.

σ(t) = {t ², sin(t ), cos(t )}

σ'(t) = {2t, cos(t ), -sin(t )}

σ''(t) = {2, -sin(t ), -cos(t )}

When t = 0, the acceleration on the particle is

σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}

Then the force acting on the particle at time t = 0 is

F = {2m, 0, -m}

by Newton's second law.

Ben has a collection of Nickels and dimes has a total of $5.35 how maybe nickels and dimes does he need

Answers

Answer:

5.35$ worth

Step-by-step explanation:

A four-digit perfect square number is created by placing two positive two-digit perfect square numbers next to each other. What is the four-digit square number?

Answers

Answer:

1681

Step-by-step explanation:

In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.

Therefore, the answer is 1681 because 1681=41*41 and

16=4*4 and 81=9*9

one school purchased 18 gallons of blue paint to decorate several of its classrooms. if each classroom needs 1 4/5 gallons of paint, then how many classrooms will get painted.

Answers

Answer:

18 gallons of paint could paint 10 classrooms.

Step-by-step explanation:

Given that the school bought 18 gallons of paint, and that each classroom requires 1 4/5 of paint to be painted, to determine how many classrooms can be painted with that amount of paint, the following calculation must be performed:

4/5 = 0.8

1 + 0.8 = 1.8

18 / 1.8 = 10

Therefore, 18 gallons of paint could paint 10 classrooms.

What is the range?
-3 -8 -5 0 1 -2 -5 4 6

Answers

Answer:

14

Step-by-step explanation:

Range = Maximum value - minimum value

          = 6 - (-8)

          = 6 + 8

           =  14

Answer:

8- -5 -3 -2 0 1 4 6

Please I need some answers

Answers

Answer:

prime: 17 47 67

Composite: 25 48 99 161 171

25: 1,5,25

48: 1,2,4,6,8,12,24,48

99: 1, 3, 9, 11, 33, 99

161: 1, 7, 23, 16

171: 1,3,9,19,57,171,

And can i please get brainliest and have a good day

Jordan weighed two buckets of sand for a geology project. The first bucket weighed 26.31 pounds. The other bucket weighed 4.39 pounds. How much do the two buckets of sand weigh all together?

Answers

Answer:

30.7

Step-by-step explanation:

Tje answer is 26,31+4,39=30,7

Write the slope intercept form of the equation. PLEASE HELP

Answers

Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

Helppppppppppppppppppppppppppppppppppppo

Answers

Answer:it’s prob less than seven btw

Step-by-step explanation:

Answer:

-35 is your answer.

Step-by-step explanation:

...... .....

Please help me with your the question attached below. Please show work I would like to learn this.

THANK YOU!

Answers

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

Answer:

m ∠5 = 67°m ∠7 =  67°

Step-by-step explanation:

Givena║b, m ∠ 113To findm ∠5, m ∠7Solution

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

m ∠ 4 + m ∠5 = 180°m ∠5 = 180 ° - m ∠4 m ∠5 = 180° - 113° = 67°

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

m ∠7 = m ∠5 = 67°

If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?

Answers

10 of 200 will not so 190 will produce fruit

Answer:

Step-by-step explanation:

If 1 /20  will not bear fruit then

  19/20.  Will bear fruit

use ratio method

19/20  = x/200

find x by finding an equivalent fraction

x = 190

190 plants will produce fruit

A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?

Answers

7tasks takes the robot 6:5x2=1.2x2=2.4 which is 24min 24:7=3.4min. Which is 1task so roughly a robot can complete 60:3.4=18 in one hour

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

A robot can complete 7 tasks in 2/5 hour.

Each task takes the same amount of time.

Now,

Since, 7 tasks = 2/5 hour

So, 1 tasks = 2 / 5×7

                = 2 / 35 hour

Thus, The robot take 2 / 35 hour to complete one task.

And, 2/5 hour = 7 tasks

So, 1 hour = 7 x 5 / 2

               = 35 / 2

Thus, The robot complete 35/2 tasks in one hour.

Therefore,

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

Learn more about the fraction visit:

https://brainly.com/question/28897348

#SPJ2

help me please I need help :((((((

Answers

Flour: 2 3/4 cups = 11/4

11/4 * 2 = 22/4 = 5 2/4 cups

Sugar: 1 1/2 cups = 3/2

3/2 = 6/4 = 1 2/4 cups

1 2/4 * 2 = 3 cups

So it *should* be 8 1/2 cups.


A parallelogram is a rectangle if and only
if its diagonals are congruent.

Answers

Answer:

A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.

Step-by-step explanation:

It is a rhombus.Hope this helps

Jane is a computer science major planning to take 4 courses next semester. She is planning to take 2 computer science courses and 2 courses from other areas. How many different schedules can she build?

Answers

Answer: 24 schedules.

Step-by-step explanation:

Given data:

Courses planning to take = 4

Computer courses = 2

Courses from other areas = 2

Solution:

This problem can be solved using permutation.

For Computer science courses.

npr = n! / ( n - r )!

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

For other courses.

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

Jane can have a total of 24 different schedules.

Which set could represent P?

Answers

2 should be the correct answer

The next two terms of the sequence 4,7,10,13 are...and ----

Answers

Answer is 16,19
Your welcome

Please help youll get brainliest

Answers

8h + 12h >144 is the answer have a great day
The guy on top of me said it

A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?

Answers

Answer:

The y intercept is 200

Step-by-step explanation:

Given

Base Cost = 200

Per person =8

Required

Determine the y intercept

First, we need to determine the equation.

The total amount (y) for x persons can be calculated using:

y = Base Cost + Amount per person * x.

This gives

y = 200 + 8 * x

y = 200 + 8x

The general expression of a linear equation is:

y = mx + b

Where b = y intercept

By comparison,

b = 200

Hence, the y intercept is 200

Milo pays $3 per pound for dog food at Pat’s Pet Palace. The graph below represents the cost per pound of food at Mark’s Mutt Market. At which store will Milo pay a lower price per pound for dog food?

Answers

where’s the graph ? I think you’ll need to show the graph in order for us to help you

Select all of the possible side lengths for the third side of a triangle if the first two
sides have lengths of 15 in. and 10 in.
9 in
5 in
27 in
3 in
21 in
13 in
12 in
25 in
Next

Answers

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

difference of 2 given sides < x < sum of 2 given sides , that is

15 - 10 < x < 15 + 10

5 < x < 25

The possible side lengths for the third side from the given list are

9, 12, 13, 21

A= 20 square root of 2
B= 5
C=20
D=10

Answers

A is the answer for sure

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?

Answers

Answer:

The answer is 50 or 55.

Step-by-step explanation:

Answer:

The answer is 50

Step-by-step explanation:

i did test on edg

pls help Select the correct answer.
If and , which description represents the graph of function g?

Answers

YOu got the right answer!! good job for you! keep up the good work! plz mark me the brainliest PLZZ!!!!!

Answer:

hey you got it

Step-by-step explanation:

its b

A pair of shoes had a sale price of 7650 what was the retail price at a 10% discount

Answers

Answer:

make a proportion:

                        90% - 76.50$

original price is 100% - x$

x=76.50$*100%/90%=85$

Answer: original price is 85$

Step-by-step explanation:

Common factor 9 and 45​

Answers

Answer:

Step-by-step explanation:

The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above

The COMMON FACTORS of 9 and 45 are 9, 3, 1.
hope this helps x

There are 36 carpenters in a crew. On a certain day, 18 were present. What percent of the crew was present?

Answers

Answer:

On this day, 1/2, or 50%, of the crew was present.

Step-by-step explanation:

Simplify: 18/36 = 1/2

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day!

he first five multiples for the numbers 4 and 6 are shown below.

Multiples of 4: 4, 8, 12, 16, 20, . . .
Multiples of 6: 6, 12, 18, 24, 30, . . .

What is the least common multiple of 4 and 6?
2
4
12
24

Answers

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

father bought 2kg 200g of potatoes and 1kg 500g of tomatoes.find the total weight of vegetables he bought​

Answers

Answer:

3kg 700g

hope it helps:-) :-)

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