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

Find the measure of angle 1

Answers

Answer:

112 Degrees

Step-by-step explanation:

46+90=136

360-136=224

224/2=112

112 Degrees

Answer:

122

Step-by-step explanation:

46 + 90 = 136

360 - 136 = 224

224 ÷ 2 = 122

Which expression represents "the product of a and b decreased by 9"?

Answers

Answer:

ab-9

Step-by-step explanation:

the product of a and b: a*b

decreased by 9: -9

Answer:

The person above be is correct

Step-by-step explanation:

I figured I would let everyone know so they can trust it anyway have a good day☺️

PLS HURRY!!!!!!!!! YOU WILL BE THE BRAINLIEST.

Which data collections show bias? Check all that apply.
An English teacher polls the top-ten most avid readers to find their favorite books.
An insurance company polls drivers of sports cars to find their average number of tickets.
A restaurant manager surveys every tenth customer for one week.
An assistant principal surveys each student who is sent for discipline.
A fundraiser organizer draws five names from a hat that contains all entries.

Answers

Answer:

The English teacher, restaurant manager, and assistant principal show bias.

Step-by-step explanation:

The data collection for each survey is only gathering data from one small portion of the total population that could be surveyed.

Answer:

A, B, D

Step-by-step explanation

I got it right on the quiz on Edge 2021.

What is the Y intercept of y=3-4x?​

Answers

Answer:

13

Step-by-step explanation:

Find the area, to the nearest hundredth, of the figure

Answers

Answer:

Step-by-step explanation:

hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi

area of triangle = 0.5×6×14.4 = 43.2 mi²

radius of semicircle = 15.6/2 = 7.8

area of semicircle = πr² = 60.84π mi²

total area = 43.2 + 60.84π ≅ 234.33 mi²

Pleaseeeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

(5x-24)/2 = 3

2.5x - 12 = 3

2.5x = 15

x = 6

Shreks doo doo duhhhhhh

Can someone please Classify the angles ? I don’t need a conclusion ....

Answers

Answer:

Right triangle

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle.

Find f(x) where
f(x) = 3x+2/x

Answers

Answer:

[tex] \huge f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]

Step-by-step explanation:

to understand thisyou need to know about:inverse functionPEMDASgiven:[tex]f(x) = \frac{3x + 2}{x} [/tex]to find:[tex] {f}^{ - 1} (x)[/tex]tips and formulas:

inverses of common function

[tex] + < = > - [/tex][tex] \times < = > \div [/tex][tex] \frac{1}{x} < = > \frac{1}{y} [/tex][tex]x ^{n} < = > \sqrt[n]{y} [/tex]let's solve:[tex]step - 1 : define[/tex][tex]f(x) = \frac{3x + 2}{x} [/tex][tex]step - 2 : solve[/tex][tex]substitute \: y \: for \: f(x) \\ y = \frac{3x + 2}{x} [/tex][tex]interchange \: x \: and \: y \: and \: swap \: the \: sides \: of \: the \: equation\\ \frac{3y + 2}{y} = x[/tex][tex]multiply \: both \: sides \: of \: the \: equation \: by \: y \\ \frac{3y + 2}{y} \times y = x \times y \\ 3y + 2 = xy[/tex][tex]move \: the \: constant \: and \: the \: expression \: to \: the \: right \: and \: left \: hand \: sides \: and \: change \: its \: sign \: respectively \\ 3y - xy = - 2[/tex][tex]factor \: out \: y \: from \: the \: expression \\ (3 - x)y = - 2[/tex][tex]divide \: both \: sides \: by \: 3 - x \\ \frac{(3 - x)y}{(3 - x)} = \frac{ - 2}{3 - x} [/tex][tex] y = \frac{ - 2}{3 - x} [/tex]

[tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]

I need help with this can you help me

Answers

Answer: 2.5 in, 7.5 in, and 5 in.

Step-by-step explanation:

you would divide each side by 2

5 inches to 2.5

15 inches to 7.5

and 10 inches to 5

2.5 in, 7.5 in, 5 in

HELP MEEEEEEEEEEE plz :D

Answers

A = -75
B = -60
C = -45
D = -15
E = 15
F = 30

A snow blower requires a fuel mixture ratio of 40:1 (gas to oil). Which expression represents this ratio?

Answers

Answer:

A. 40/1

Step-by-step explanation:

A. 40/1

B. 1 X 40

C. 40 X 1

D. 1/40

Ratio of gas to oil = 40 : 1

40 : 1 = 40/1

40 : 1 can also be written as 40/1 or 40 to 1

Drag and drop each equation to match the type of solution.

Answers

Answer:

B, A, C

Step-by-step explanation:

How to find the slope and y intercept from two coordinate pairs

Answers

first use the slope formula to form the slope
m = (y2-y1)/(x2-x1)
and then find the y intercept by (0,b)
then plug m and b into
y=mx+b

Answer:

Slope: y2-y1/x2-x1

Step-by-step explanation:

You find slope from two coordinate pairs by using the slope formula(y2-y1/x2-x1) or rise over run from a graph.

To find y-intercept, x needs to be 0 on a graph.

Hope this helps!

An appliance store decreases the price of a​ 19-in. television set ​16% to a sale price of $509.88. What was the original​ price?

Answers

Answer:

the original price 3186.75

Which graph shows a proportional relationship?

Answers

Answer is C I’m pretty sure

There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.

What are ratios and proportions?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Let the two variables x and y.

Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have

The variable y is directly proportional to the variable x.

y ∝ x

When the proportionality sign is removed a constant k comes into the equation. That is given as

y = kx

There is a linear relationship between the variables x and y.

And the line that passes through the origin.

The graph is shown below.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

could you help me with the 2 questions plz

Answers

Answer:

2. 64

3. 2

Step-by-step explanation:

4 years ago, the age of two sisters combined equal 24 years, and the younger sister was 8 years younger. How old are they today?

Answers

20 and 12 ...............

You picked two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?

Answers

Answer:

Let's suppose the next case:

We have a bag, where there are 5 red marbles, and 5 blue marbles.

We have a total of 10 marbles.

Suppose that we pick a marble and we do not replace it, and suppose that the first one is a red marble.

Then now we have in the bag a total of 4 red marbles and 5 blue marbles.

Now let's find the probability of picking a blue marble, this will be equal to the quotient between the number of blue marbles (5) and the total number of marbles (9)

P = 5/9

Now, suppose that instead of a red marble in the first pick, we had a blue marble.

Then now we have 4 blue marbles and 5 red marbles in the bag.

Again, the probability of picking a blue marble will be equal to the quotient between the number of blue marbles (4) and total numbergof marbles (9)

P = 4/9

Then the first pick does affect the probabilities for the second pick, this means that if we do not replace the first marble we pick, then the events will be dependent.

Now, if we replaced the first marble we picked (we put it again in the bag) then the number of blue marbles and red marbles is always the same, then in this case bot events will be independent (the first event will not affect the second event)

Friday: What is the geometric mean of 9 and 10?
Write answer in simplified radical form (use the factor tree) I NEED HELP ASAPPPPP

Answers

The geometric mean of 9 and 10 is 9.5 as (9 x 10)^1/2 which is (90)^1/2 which is 9.48 and that rounded is 9.5 but in simplified radical form it’s 3 √10

At Pete's pizza, the cost of a 1 topping pizza is $17.35 and the cost of a 3 topping pizza is $21.05.
Assuming the cost of a pizza follows a linear model, write an equation that represents C, the cost of any pizza with t,toppings.

Answers

Answer:

3

Step-by-step explanation:

17.35 * 3

Determine the value of x. Assume the segments that appear tangent
are tangent

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

  (x -2)(x +6) = 9×20

  x² +4x -12 = 180

  x² +4x +4 = 196 . . . . . add 16 (complete the square)

  (x +2)² = 14²

  x +2 = 14 . . . . . . . . . . . positive root is the only one useful

  x = 12

is the function a^x increasing or decreasing?

is the function for a^-x increasing or decreasing?


Anyone please help asap for these both questions. thank you

Answers

Answer:

The function a^x is increasing, while a^-x is decreasing.

Step-by-step explanation:

The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.

I hope I helped:)

I would appreciate Brainliest ;)

What is the value of the missing angle ?

Answers

Answer:

30

Step-by-step explanation:

? = 180 - 150 = 30

Answer:

30°

Step-by-step explanation:

The line is 180 degrees so all you have to do is subtract 150° from 180°

You should end up with 30°

Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.

Solve the simulataneous equations. 5x-4y=19 x+2y=8

Answers

Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )

help, due tonight, asap, will give brainliest

Answers

Answer:

has one solution which is 2

Step-by-step explanation:

What's the circumference of a
circle with a diameter of 31 inches?
Use 3.14 for pi.

Answers

Answer:

circumference = 97.34

Step-by-step explanation:

circumference = diameter x Pi

31 x 3.14 = 97.34 inches

The circumference of the circle with a diameter of 31 inches is approximately 97.34 inches.

The circumference of a circle can be calculated using the formula C = πd, where C represents the circumference and d represents the diameter of the circle.

Given that the diameter of the circle is 31 inches, we can substitute this value into the formula:

C = 3.14 * 31

C ≈ 97.34 inches

Therefore, the circumference of the circle with a diameter of 31 inches is approximately 97.34 inches.

To know more about circumference click here :

https://brainly.com/question/26605972

#SPJ2

A cylindrical can of tennis balls holds a stack of three tennis balls so that they touch the can at the top,bottom,and sides. The radius of each tennis ball is 1.25 inches. Find the volume inside the can that is not taken up by three tennis balls.round to the nearest tenths.

Answers

Answer:

3.7555555536321

Step-by-step explanation:

The point Q(4, 2) is translated 8 units left and 7 units down. What are the coordinates of
the resulting point,

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Start from the original point and go 8 units to the left and 7 units down and plot the point.

x - 8 = 40 solve in word form

Answers

Answer: 48

Step-by-step explanation:

add 8 to both sides

-8 and 8 both cancel out and 40 and 8 add to 48

1 Write the slope-intercept form of the equation of the line. -​

Answers

Step-by-step explanation:

x=0 y=2

x=-2 y=0

y=mx+b

b=2

0= -2m+2

2m=2

m=1

y= x + 2

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