How do you decide which rational number operations to use to solve problems.

Answers

Answer 1

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.


Related Questions

PLEASE HELP ME WITH THIS!!

Answers

the first 2 are a function and the last 2 are not

PLEASE HELP!!!

Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters of fuel for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the truck's tank (in liters) and distance driven (in kilometers).

Answers

Answer:

you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.

500*.8=400

Answer:

Step-by-step explanation:

This is the right answer

I screenshot the picture and it shows i got it right

I need help with this​

Answers

Answer:

24.3470022334

Step-by-step explanation:

I hope this helps. It really isn’t too hard. All you need to do is find the multiples of 24

A line is perpendicular to the line given by the equation - 8 = 2y + 3x. What is the slope of the perpendicular line? 3​

Answers

Answer:

2/3 is the slope of the perpendicular line

Step-by-step explanation:

1) put into slope-intercept form (y=mx+b)

-8=2y+3x

-2y=3x+8

y=-3/2x-4

2) the line is perpendicular so the slope will be opposite and the reciprical of the original slope.

so, because the original was -3/2, the new one is 2/3

an elevator began at an elevation of 85.5 feet and ascended at a rate of 2.75 feet per second. what was the elevation of the elevator after 8 seconds?

Answers

Answer:

107.5

Step-by-step explanation:

8 × 2.75ft = 22ft

22ft + 85.5ft = 107.5ft

Answer:

107.1

Step-by-step explanation:

the elevator is at 85.5 feet.

if the ascending (going up) rate is 2.75 and you want to know how far in 8 seconds, it's an easy process.

1. find the direction your going (up or down)

2. how far? (what rate for this one)

3. multiply said problem (2.75 x 8)

4. get your answer (21.6 ft per 8 seconds)

5. add or subtract to the height you are at now (85.5 ft)

6. you now have your answer! (107.1 ft in the air)

this is it help pls.

Answers

Answer:

1/5

Step-by-step explanation:

Hope this helps!

Please help me solve these problems, or as many as you can. I need them in step by step..

5. 36d¹⁰/6d⁵

6. [(4³)²]²

7. 5³•7⁵•10/5•7⁴

8. (2²)⁷

9. (8v⁹)⁵

Answers

Answer:

5. 36d¹⁰/6d⁵ = 6d⁵

6. [(4³)²]² = 4⁷

7. 5³•7⁵•10/5•7⁴ = 5²•7• 10

8. (2²)⁷ = 2⁹

9. (8v⁹)⁵ = 8⁵V¹⁴

Step-by-step explanation:

When solving questions having indices, we follow certain rules in Mathematics

a) a^b/a^c = a^b-c

b) (a^b)^c = a^b+ c

Hence:

5. 36d¹⁰/6d⁵ =

(36/6)^d^10-5 = 6d⁵

6. [(4³)²]²

= (4)^3 + 2+ 2 = 4⁷

7. 5³•7⁵•10/5•7⁴

= (5)^3-1 • (7) ^5-4• × 10

= 5²•7•10

8. (2²)⁷

= (2)^2 + 7

= 2⁹

9. (8v⁹)⁵

= 8⁵•v^9+5

= 8⁵v¹⁴

solve this equation 3x + 5 = 7x – 7

Answers

Add 7 to both sides
3x + 12 = 7x
Subtract 3x
12 = 4x
Divide by 4
x = 3

Answer:

3

To find:

x

Step-by-step explanation:

3x + 5 = 7x – 7

3x - 7x = -7 - 5

-4x = -12

x = -12/-4

x = 3

hope it helps u!

Help Please! Solve For Y.

Answers

Answer:

i think 7

Step-by-step explanation:

Need help please thank you

Answers

Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

I grew with the other comment have a great day whoever sees this!! :)))

Find the value of x and y​

Answers

Answer:

Step-by-step explanation:

(your value for y is correct)

this is an equilateral triangle so the right triangle’s hypotenuse is 40

to find x we need to use sin (which equals opposite of the angle over hypotenuse)

so

sin(x) = 20/40

sin(x) = 1/2

sin inverse(1/2) = x

x = 30°

X= 30 :) there you go

3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.

Answers

900 x .47 = 423 girls
The answer is 423

Because 900 divided by 100 is 9 and 9 times 47 is 423

Simplify 7 + (−3). (1 point)

Question 5 options:

Answers

Positive four. Is the answe.

Answer:

4

Step-by-step explanation:

7+ (-3)= 4 lol not sure if thats what you wanted but thats what i understood from your question

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer:

(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]

Step-by-step explanation:

[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]

I’m gonna use the remainder theorem so if a polynomial p(x) is divided by x-a the remainder obtained is p(a) therefore

X= -5

Then just plug in -5 in the function and if the result is 0 then is a factor

(-5)^3 - 4(-5)^2 + 3(-5) + 7 = -233

Therefore x+5 is not a factor

Find the value of x

is this correct?​

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3(x+2) = 24 (because it’s an isosceles so both sides are equal)

x+2 = 24/3

x +2 = 8

x = 8-2

x = 6

1) 15 = 2W - 5
2) 24 = 2x - 9

Answers

9514 1404 393

Answer:

  1) W = 10

  2) x = 33/2

Step-by-step explanation:

These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.

__

1) 15 = 2W -5

  20 = 2W . . . . . add +5

  10 = W . . . . . . . divide by 2

__

2) 24 = 2x -9

  33 = 2x . . . . . add +9

  33/2 = x . . . . divide by 2

_____

As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.

4x4 - 6x3 +6x-7
-2x2 + 3
what is the quotient

Answers

Answer:

12x

Step-by-step explanation:

Not a quotient because its not division.

PLS GIVE THE ANSWER!!!!!! ALSO ITS NOT A NUMBER IS IT C OR A

Answers

Answer:

I am confused there no picture so go with your gut man

Step-by-step explanation:

According to the table, how many students in the seventh grade bike to school?

Answers

Answer:

The anwser is B.) 49

Step-by-step explanation:

If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

Answer:

yeh its b

Step-by-step explanation:

because the first persons answer was right and well i want the points.

You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.

Answers

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
O K.y) - «-3, y + 5)
O (.y)- -3.y- 5)
O (x.y)- (x+ 3, y-5)
O «.y) - («+3, y + 5)

Answers

Answer:

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

Thus,

(x, y) ⇒ (x – 3, y + 5)

Step-by-step explanation:

Given the rule T–3, 5(x, y)

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.

Thus, if a triangle on a coordinate plane is translated according to the

rule T-3, s(x, y), then another way to write this rule will be:

(x, y) ⇒ (x – 3, y + 5)

ASAP PLEASE HELP ME

Answers

Answer:

6 would be opposite

Step-by-step explanation:

on his shelves trenton has 15 biogrophies,15 science fiction books,7 refrence books,and 11 mystery books. find the ratio of biographies to the total number of books

Answers

the ratio of books is 15:48

Which expression is equivalent to (8x – 20) + (-4x + 12)?

A. 12x + 8


B. 4x – 8


C. – 4x – 8


D. – 4x

Answers

Answer:

B. 4x-8

Step-by-step explanation:

what are you doing for math

Answers

algebra.............

This is not an academic question and cannot be answered by Brainly contributors. Happy holidays!

What does it mean to have diagonals bisect each other?
_____________________
A. They meet in the middle, cutting each other in half
B. The full diagonal line is congruent to the other diagonal line
C. The angles are congruent
D. That go across each other

Answers

Answer:

I think your answer would be A

Step-by-step explanation:

IF YOU ACTUALLY HELP I WILL GIVE BRAINLY!!

Answers

Answer:

B: (2, -1)

Step-by-step explanation:

HELP PLEASE 100 points IM BEING TIMED ILL EVEN GIVE A CROWN THING
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

A.) 90 degree rotation about point 0 composition reflection across the x-axis
B.) Reflection across the x-axis composition 90 degree rotation about point 0
C.) 180 degree rotation about point 0 composition reflection across the x-axis
D.) Reflection across the x-axis composition 180 degree rotation about point 0

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The guy above me was correct. I got a 99% on my test.

Sarah is making shortbread biscuits. She has: 600g of butter 300g of caster sugar 1kg of plain Klour 500g of cornKlour She has found this list of ingredients for making 8 shortbread biscuits Sarah wants to make as many shortbread biscuits as possible. Work out how many shortbread biscuits Sarah can make.

Answers

Answer and explanation:

We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour

We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.

We are told Sarah wishes to make as many shortbreads as possible.

To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.

PLS ANSWER IM DLING MIDTERM RN
Given that triangle GHI is congruent to triangle NOP which of the following statements is FALSE?
GI = NP
Angle G = angle N
O=H
GH = PO

Answers

GH=po

That is answer

Yay

Other Questions
Can you help with that question? The index of refraction of quartz is anisotropic. Suppose that visible light is passing from one grain to another of different crystallographic orientation and at normal incidence to the grain boundary. Calculate the reflectivity at the boundary if the indices of refraction for the two grains are 1.545 and 1.555 in the direction of light propagation. Enter your answer in accordance to the question statement What is the probability that the selected adult is a smoker? What value of w makes the equation 145 = w + 27 true? C. Circle the correct form of the verb in each of the following sentences.1. I listened /was listening to the radio when I heard / was hearing this fantastic song.2. When the teacher said / was saying 'Stop!', I still tried / was still trying to finish the last question.3. I feel really silly! While I danced / was dancing, I fell/was falling and broke / was breaking myelbow.4. Tim played / was playing a computer game when his mum called / was calling him for lunch.5. I looked / was looking for a file on my memory stick when I noticed / was noticing there was a virus.6. Marie-Claude isn't a Canadian. I believe / is believing she comes from France.7. Igo/am going to Toronto next Thursday. I usually meet / am usually meeting Brad there.8. They go / are going to the gym on Sundays, but this Sunday they go/are going to the beach.9. I always have / am having a coffee before I am leaving / leave for work in the morning. Jaiden is in 6th grade and plans to attend college. He has created a college preparation plan.1. He will fill out the FAFSA form and send it in immediately.2. He will ask his parents if they have a college savings account.3. When he gets to high school, he will start trying harder in school so he can qualify for academic scholarships.4. During his last year of high school, he will get involved in sports and clubs he enjoys to qualify for scholarships.5. Upon graduation, he will start saving money for college.Which statements identify errors in Jaidens plan? Check all that apply. 10 points to whoever can answer this for meeee True or false do all states have an income tax? Why Saving the children story wasnt told until 50 years later? Respond to the following quotations in NO FEWER than 6 sentences. Winter is the time for comfort, for good food and warmth, for the touch of a friendly hand and for a talk beside the fire: it is the time for home.- Edith Sitwell What pathway provides the longest-lasting supplyof ATP? Why does TJC differentiate between critical access hospitals (CAHs) and regular hospitals? A. CAHs are smaller and only keep patients for up to four days, making their safety considerations more limited than hospitals'. B. CAHs are long-term care facilities that patients live at for months at a time, making their safety considerations more extensive than hospitals'. O C. CAHs only treat patients during normal business hours and don't keep patients overnight, making their safety considerations more limited than hospitals'. D. CAHs provide specialized, extensive treatment, making their safety considerations more extensive than hospitals'. Sophia had 63 until she spent 5 nickels. How much money does Sophia have now? In the first paragraph, what does ingenious mean Laurie filled a container full with water. She put 42ounces of water in it.What is the capacity of Laurie's container? 0.25 of 40 plz plz help A person concerned with looking stylish and fashionable (I am a 5 letter word beginning with D) 1. why is the photo badly pixelated 2. i need help with this one Factor Weight A B C Convenience 0.15 85 85 82 Parking facilities 0.20 70 91 91 Display area 0.18 87 97 90 Shopper traffic 0.27 95 90 92 Operating costs 0.10 86 90 97 Neighborhood 0.10 88 92 84 1.00Using the above factor ratings, calculate the composite score for each location. What is the first thing that immigrants at Ellis Island encountered once they got off the ship?