How is adding and subtracting rational numbers similar and different than adding and subtracting integers?

Answers

Answer 1

Answer and explanation:

A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc

An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc

Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:

1/2+3/1= 1+6/2=7/2=2 1/2

When adding intergers 2+4, we add normally as in the number line = 6


Related Questions

help me answer question 8a and b, and I’ll give u 10 points lol

Answers

Answer:

Step-by-step explanation:

Find h when v = 20 and r = 3

Putting values in the formula

20 = (3.14)(3)2h

20 = (3.14)(9)h

20 = 28.26h

20/28.26 = h

R when v = 100 and h = 5

100 = (3.14)r2(5)

100/5 = 3.14r2

20 = 3.14r2

20/3.14 = r2

6.36 = r2

Square root on both sides

2.52 = r

please help

thank u!

Answers

B haha. Hope this works out for ya.

h + 6.3 = −6.3 solve for h

Answers

Answer:

0

Step-by-step explanation:

Hi there!

Let think about this...

-6.3-6.3=h

h+6.3=-6.3

negative plus positive is negative...

h=negative number..

6.3+6.3=12.6 add a negative point=-12.6

Final Result: -12.6

39 divided (2+1) - 2x(4+1)

Answers

the answer is,

[tex]13 - 10x[/tex]

What is the focus of the parabola y = 10x??

Answers

Answer:

The foci of y=10x would be y-x=1 I do exams and quizzes if your interested :)

Find QR.
Q
6
560
R
S
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR =

Answers

Answer:

QR ≈ 5.0

Step-by-step explanation:

Using the sine ratio in the right triangle

sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )

6 × sin56° = QR , then

QR ≈ 5.0 ( to the nearest tenth )

Lily begins solving the equation 4(x-1)-x=3(x+5)-11. Her work is shown below. 4(x-1) - x = 3 (x+5)-11 4x −4) −x =3x +15 −11 3x-4= 3x+4 How can her solution be interpreted? The equation has no solution The equation has one solution: x=0x=0. The equation has infinitely many solutions. The equation has one solution: x=8x=8.

Answers

Answer:

Um...

Step-by-step explanation:

Hai

The area of a rectangle is 14 square units. It has side lengths a and b. Given the following values for a, find b.

a=4 1/5

Answers

a = 4⅕ = 21/5

ab = 14
(21/5)b = 14
b = 14(5/21) = 10/3 = 3⅓

Find slope of (-5, 2) and (7,6)

Answers

Answer:

1/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(7-(-5))

m=4/(7+5)

m=4/12

simplify

m=1/3

Priya has a recipe for banana bread. She uses
4 1/2
cups of flour to make 3 loaves of banana bread.
Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
Which of these equations represents the relationship between b and f?
b = (2/3)
Ob = (3/2)f
O b = (2/9)f
O b = (9/2)f

Answers

Answer:

(3/2)f

it doesn't really show me a good copy of the question but I hope you found this helpful

Yep I agree with the person

5*4 3/10 pls answer I will mark you as brainliest ​

Answers

Answer:

5x4 x 3 /10

20x 3 /10

60/10

6

Answer:

Step-by-step explanation:

[tex]5* 4 \frac{3}{10}=5* \frac{(4*10)+3}{10}\\\\= 5*\frac{43}{10}\\\\= \frac{43}{2}\\\\= 21 \frac{1}{2}[/tex]

Which expression is equivalent to 74% of 12?
0.74 x 12
74 x 12
7.4 x 12
O 7.4 + 12

Answers

Answer:

0.74x12

Step-by-step explanation:

Answer:

hello! :) have a good day!

74% of 12 is 8.88

So it would be

0.74 x 12 = 8.88

This is from pre calc

Answers

Answer:

The dimensions are 106, 47,116

Step-by-step explanation:

[tex]when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116[/tex]

What is the equation of the line

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

1/2 x + 2

Step-by-step explanation:

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 400 miles apart after 2 hours, what is the rate of the eastbound train?

Answers

Answer:

Rate of the Eastbound train is 93 mph.

Step-by-step explanation:

Let the speed of the Eastbound train = x miles per hour

And the speed of the West bound train = y mph

Eastbound train travels 14 mph slower than the westbound train,

So the equation will be,

y - x = 14 ----------(1)

If these trains are 400 miles apart after 2 hours,

Distance traveled by the Eastbound train = Speed × Time

                                                              = 2x miles

Distance traveled by the Westbound train = 2y miles

Trains are 400 miles apart after 2 hours,

So the equation will be,

2y + 2x = 400

x + y = 200 ----------(2)

By adding equation (1) and equation (2)

(y - x) + (x + y) = 14 + 200

2y = 214

y = 107 mph

From equation (1)

107 - x = 14

x = 107 - 14

x = 93 mph

Therefore, rate of the Eastbound train is 93 mph.

At a party, the amount of people who ate meatballs was 9 less than 3/5 of the total number of people. The number of people who ate meatballs was 24. How many people where at the party? Write an equation to help you solve the problem. Let x represent the number of people at the party.

Answers

Answer:

there were a total of 55 people at the party.

Step-by-step explanation:

In order to create the equation representing this scenario we first need to represent each step in a formula. Since the total number of people is represented by x we can multiply 3/5 by x and subtract 9 from that. This would then be equal to 24 like so...

3/5x - 9 = 24

Now that we have the formula we can perform opposite operations to isolate x and solve for it.

3/5x - 9 = 24   ... add 9 on both sides

3/5x = 33   ... divide both sides by 3/5

x = 55

Finally, we can see that there were a total of 55 people at the party.

ally has 25 roses, she gives away 10 roses, what precentage of roses does she have left

Answers

Answer:

Ally had 60% of her roses left

Step-by-step explanation:

25(total)-10(take away)=15(left over)

15 (left)/25 (total before) = 60% left

8 = 6 + a/4 a=___help

Answers

Answer:

[tex]8 = 6 + \frac{a}{4} \\ \frac{a}{4 } = 8 - 6 \\ \frac{a}{4} = 2 \\ a = 2 \times 4 \\ a = 8[/tex]

Which Number line shows the solution to the inequality?

x + 1 > 5​

Answers

Answer:

A

Step-by-step explanation:

Subtract 1 on both sides of the inequality

we get x>4.

So graph A is correct.

como se convierte una fracción a decimal

Answers

Answer:

Para convertir una fracción en un decimal, dividimos el numerador entre el denominador. Si tenemos un número mixto, el número natural se mantiene a la izquierda del punto decimal.

Answer:

Aqui esta la respuesta

Step-by-step explanation:

The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

A fraction is made up of two parts: a numerator and a denominator. It is used to represent how many parts we have out of the total number of parts.We can use bar models to represent the conversion from fractions to decimals.

La línea de una fracción que separa el numerador y el denominador se puede reescribir usando el símbolo de división. Entonces, para convertir una fracción en decimal, divide el numerador por el denominador. Si es necesario, puede usar una calculadora para hacer esto. Esto nos dará nuestra respuesta como decimal.

Una fracción se compone de dos partes: un numerador y un denominador. Se usa para representar cuántas partes tenemos del número total de partes.Podemos usar modelos de barras para representar la conversión de fracciones a decimales.

Hope this helps

Espero que esto ayude

if you don't mind me putting it in both languages

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answers

Answer:

3--1/-2-4=4/-6=2/-3

y=-2/3x+b

-2*-2/3=4/3

3-4/3=5/3

y=-2/3x+5/3

Step-by-step explanation:

Answer:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the two points:

(4, -1) and (-2, 3).

First, we will find the slope of the two points. So:

[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]

Now, we will use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Use either point. I'm going to use (4, -1). So, substitute:

[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]

Simplify and distribute:

[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]

Subtract 1 from both sides. Therefore:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Solve the proportion.
X/4=13/52

Answers

Answer:

THE ANS IS X=1

Step-by-step explanation:

X/4=13/52

BY CROSS MULTIPLY, WE GET

52X=4 into 13

52X=52

BY CUTTING,WE GET

X=1

THANKS AND MARKS AS BRAINLY

According to Synthetic division below, which of the following statements are true

Answers

Answer:

B, E, and F.

Step-by-step explanation:

We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).

Looking at the coefficients, we can see that our dividend is:

[tex]3x^2-11x+10[/tex]

Our divisor will be (x - a), where a is the number on the very top left.

So, a = 2.

Thus, our divisor is:

[tex](x-2)[/tex]

Note that our remainder is 0.

So, the synthetic division shown is telling us that:

[tex]( 3x^2 - 11x + 10) \div (x-2) = 3x - 5[/tex]

Hence, E is the correct choice. A uses the incorrect divisor.

If the divisor successfully divides with no remainder, then the divisor is a factor.

Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.

Hence, B is also correct.

C uses the wrong factor.

D uses the wrong value. It should be positive 2.

So, F is the correct choice.

Therefore, the answers are: B, E, and F.

4. Which of the following is a geometric sequence?

A. 19, 15, 21, 27,...

B. 4,9,16,25,...

C. 3,-9, 27,-81,...

D. 30,15,0, -15,...
I’ll give brainiest :)

Answers

Answer:

1, 3, 9, 27, 81, . . .

Step-by-step explanation:

Got it right on edg


A triangle with vertices at (2,4), (2,-1) and (5,-1) will have a perimeter of
Round your answer to the nearest tenth.

Answers

Answer:

13.8

Step-by-step explanation:

Please let me know if you want me to add an explanation.

a hot air balloon goes 350 feet into the air and drifts east 600 feet how far id the balloon from the launch point

Answers

If you imagine it like the picture below, you could use the pythagorean theorem to solve for x

Subtract the cube root of the product of x and 3y from the square of the sum of a and b.

Answers

Answer:

a^2 + b^2 + 2ab - (3xy)^1/3

Step-by-step explanation:

Here we want to make a subtraction

Cube root of the product of x and 3y

x * 3y = 3xy

Cube root of this;

(3xy)^1/3

The sum of a and b is (a + b)

Square of this sum;

(a + b)^2 = a^2 + 2ab + b^2

Now, subtract the cube root

we have;

a^2 + b^2 + 2ab - (3xy)^1/3

PLS HELP WILL GIVE BRAINLIEST AND POINTS!! How many variable terms are in the expression 3x^3y + 5x^2 + y + 9?

Answers

Answer:

4 variables

Step-by-step explanation:

Hope you pass your test!

Pls Help!!! ASAP Will give Brainiest!!!

Answers

J x=28



Hdhdhxhzhhdjhd

A recipe for rice and lentils calls for 1 L of broth for every 250 g of lentils
and 250 g of rice.
How much rice do you need if you use 2.5 L of broth?​

Answers

625 i think but im just multiplying by 2.5
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