The sum is rational or irrational number?

The Sum Is Rational Or Irrational Number?

Answers

Answer 1

Answer:

a rational number

Step-by-step explanation:

1) First, find the sum of [tex]\frac{4}{7} +\frac{-1}{3}[/tex]:

[tex]\frac{4}{7} + \frac{-1}{3} \\= \frac{12}{21} - \frac{7}{21} \\= \frac{5}{21}[/tex]

2) Any number that can be written as a fraction is a rational number. Therefore, the sum, [tex]\frac{5}{21}[/tex], is rational.


Related Questions

Translate the sentence into an equation.

Twice the difference of a number and 2 is 6.

Use the variable y for the unknown number.

Answers

Answer:

2(x-2)=6.

hope this helps

Select all of the zeros of the polynomial
g(x)=x^4+6x^3+6x^2−24x−40

(A). -2
(B). 2
(C). 1
(D). 4
(E). -4
(F). 8

Answers

Answer:

-2, 2

Step-by-step explanation:

those are the answers uwu

Answers:
A: -2.
B: 2.

Graph the solutions of the linear inequality 3x + 3y > 6 .

Answers

Answer:

y  >  2  −  x

Step-by-step explanation:

HELP ASAP MARKING BRAINLIEST

Answers

a= 11b= -11c= 8d= 6

I hoped this helped! +*♡

Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field.

Answers

Yes correct because it manipulated the question and it got 78

Answer:

x=15

Step-by-step explanation:

6(x−2)=78 (or 6x−12=78), x=15

PLEASE HELP ASAP I AM WILLING 20 POINTS




You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.



You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for SOCIAL SECURITY TAX for this pay period was $

Answers

Answer:

18.135

Step-by-step explanation:

30*9.75=292.5

6.2%*292.5=18.135

Simplify the expression,
3x + 2x + x =

Answers

=6x let me know if you need an explanation luv, give me brainliest pls

SOMEONE HELP ME PLSS !

Answers

5 x 8 x 2 = 80 .
volume = length x width x depth
I think it’s 80 I’m sorry if you get it wrong though:)

Some bakers make apple pie they have 15 boxes of apples each box has 18 apples they use 7 apple for each pie what is the total number of apple pies that the bakers can make

Answers

you do 15x18 = total apples = 270
then you do 270/7 = 38.57
so they can make 38 pies

Guys I need help ASAP I am giving 55 points

Answers

Answer:

The answer is 80°

Step-by-step explanation:

pls give brainliest!

all angles = 360°

100+100+80=280°

360°-280°=80°

Luke goes to summer camp with $45 in spending money. The amount of money he has left after n days at camp is modeled by the recursive function f(n) = f(n-1)-7. Modify the explicit function, and simplify it to slope-intercept form.​

Answers

Answer:

Please mark as Brainliest :)

Step-by-step explanation:

Answer:

Sample Answer

Step-by-step explanation:

Write the equation of a line parallel to the line y = 2x that passes through -2,-1

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.

Start with y = mx + b, and replace m with 2, y with -1 and x with -2:

-1 = 2(-2) + b, or

-1 = -4 + b.

Then b = 3, and the desired equation is y = 2x + 3

Y=2x+3. Sorry if I’m incorrect

Please help! Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?

Answers

Answer:

$715.50 my dudeeee

Step-by-step explanation:

..........

Ralph pays a total of $715.5 for the computer including the sales tax amount.

What is Percentage?

Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.

Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.

Actual price of the computer = $675

Sales tax rate = 6%

Ralph has to pay the actual price and in addition the sales tax to buy the computer.

Amount of sales tax = 6% × 675

                                 = (6/100) × 675

                                 = 0.06 × 675

                                 = $40.5

Ralph should add $40.5 to the actual price.

Total payment made for buying the computer = $675 + $40.5

                                                                             = $715.5

Hence Ralph pays a total amount of $715.5 for the computer.

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2x + 7 =30, x = 3 true or false

Answers

Answer:

False

Step-by-step explanation:

2x+7=30

2x=23

X= 23/2 or 11.5

X does not equal 3, therefore the statement is false

False x= 11.5 (in decimal form)

Brent spends $ 420 on his monthly bills. Of this amount, 15 % is for utilities, 1/5 is for Internet service, and 1/7 is for phone service. If the rest of the total amount is for food, how much money does Brent have for food?

Answers

Answer: $213

Step-by-step explanation:

First find out how much is spent on the other things:

Utilities

= 15% * 420

= $63

Internet services

= 1/5 * 420

= $84

Phone service

= 1/7 * 420

= $60

The amount left for food is therefore:

= 420 - money spent on other things

= 420 - 63 - 84 - 60

= $213

Can you PLEASE help with this as SOON as you can. I will give BRAINLIEST!!!

Answers

Answer: 2(7c^2+y)

Step-by-step explanation:

A. 4.5
B. 2.25
C. 6
D. 3

Answers

Answer:

XU is horizontal

Step-by-step explanation:

It's going across

Answer:

C. 6

Step-by-step explanation:

PLEASE HELP!!!!! 25 POINTS!!!!!!

Answers

Answer:

The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21

Step-by-step explanation:

In the parallelogram, every two opposite sides are equal in lengths

In the given figure

If DEFG is a parallelogram, then DE = GF and DG = EF

∵ DE = GF

∵ DE = 6x - 12 and GF = 2x + 36

→ Equate them

6x - 12 = 2x + 36

→ Subtract 2x from both sides

∵ 6x - 2x - 12 = 2x - 2x + 36

∴ 4x - 12 = 36

→ Add 12 to both sides

∵ 4x - 12 + 12 = 36 + 12

∴ 4x = 48

→ Divide both sides by 4

x = 12

∵ DG = EF

∵ DG = 6y - 42 and EF = 4y

→ Equate them

6y - 42 = 4y

→ Add 42 to both sides

∵ 6y - 42 + 42 = 4y + 42

∴ 6y = 4y + 42

→ Subtract 4y from both sides

∵ 6y - 4y = 4y - 4y + 42

∴ 2y = 42

→ Divide both sides by 2

y = 21

The values of x and y that make the quadrilateral is a parallelogram are

   x = 12 and y = 21

Look at these two equations.
Is there an ordered pair that is a solution to BOTH of
these linear equations?
y=x+1
y=-x+ 5

Answers

Answer:

Yes,

Step-by-step explanation:

the solution to these equations can be the point of intersection, which in this case the point of intersection is (2,3)

pls help
An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?

1,300 computers
1,560 computers
975 computers
1,114 computers

Answers

Answer:

1,300 computers

Step-by-step explanation:

As, they are saying they sold 30% of the computers last month

And that 30% was 390

So, x = the total number of computers

30% of x = 390

30% = 30/100 and "of" represents multiplication

So 30/100 X x = 390

We will transpose everything

30x = 39000

x = 39000 ÷ 30 = 1,300

So 1,300 computers were sold

WILL GIVE BRAINLIEST


A cylinder has a total area of 3.41946cm2 and a diameter of 0.66cm. What is its height?

Answers

Answer:
Total surface Area(A) = 2pi*r(r+h)
Diameter D= 2r
r=0.66/2=0.33cm
A=3.41946
3.41946=2*3.143*0.33(0.33+h)
3.41946=2.0744(0.33+h)
3.41946/2.0744=(0.33+h)
1.6484=0.33+h
1.6484-0.33=h
h=1.3184cm
Step-by-step explanation: Total surface area is different from area around the cylinder.
I’m writing this so you can give the other person brainliest but have a good day!

Please help me I’ll mark you brainiest

Answers

the answer is kite! hope this helps

Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 6 yd, 10 yd, and 8 yd
False, these measures do not form a right triangle.
True, these measures do form a right triangle.

Answers

Answer:

True, these measures do form a right triangle.

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

(6)^2 + (8)^2 = (10)^2

36 + 64 = 100

100 = 100

So, its true these measurements do form a right triangle.

El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto pago por la televisión?

Answers

Answer:

$111,088

Step-by-step explanation:

Paso 1

Encuentra el descuento

Costo de la televisión de plasma = $ 138,860.00

Porcentaje de descuento = 20%

Descuento = 20% × $ 138,860

Descuento = $ 27,772

Paso 2

¿Cuánto pago por la televisión?

Esto se calcula como:

$ 138,860 - $ 27,772

= $ 111,088

Por lo tanto, la cantidad que paga por la televisión es de $ 111,088

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?​

Answers

Answer:

4x + 7y = 3365

x + y = 578

x = matinees

y = regular

Step-by-step explanation:

Given

$4 = matinees

$7 = regular

Total tickets = 578

Money collected = $3365

If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;

4x + 7y = 3365

x + y = 578

Solving the system;

Multiply the second equation by (-4)

4x + 7y = 3365

-4x - 4y = -2312

Add the equations

4x + 7y = 3365

-4x -4y = -2312

3y = 1053

Inverse operations

3y = 1053

/3        /3

y = 351

x = 227

What is the solution to the system of equations?

Use the linear combination method.

{2x−3y=93x+5y=4

Answers

Answer:

fffffffffffffffffffffffffffffffffffffffffff

Step-by-step explanation:

Answer:

(3,-1)

I took the test, it said it was right.

If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he?

Answers

Answer:

He is on 4.

Step-by-step explanation:

Which three statements are true about the correlation shown by this scatter plot?
A. The correlation coefficient is approximately 0.96
B. The line of best fit can be used to make accurate predictions from the data.
C. The correlation coefficient is approximately 0.33.
D. The correlation coefficient indicates a strong positive correlation.
E. The line of best fit cannot be used to make accurate predictions from the data
F. The correlation coefficient indicates a weak positive correlation.

Answers

Answer:

A,C nd E

Step-by-step explanation:

The three statements are true about the correlation shown by this scatter plot are;

A. The correlation coefficient is approximately 0.96

C. The correlation coefficient is approximately 0.33.

E. The line of best fit cannot be used to make accurate predictions from the data

What is correlation?

Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.

The correlation coefficient is the degree of association between two quantities in terms of linear relation.

The range of correlation coefficient is -1 to 1

The correlation is -1, then that means  as the one quantity increases, the other quantity decreases (linearly)

We can conclude that the correlation coefficient is approximately 0.96

The correlation coefficient is approximately 0.33.

The line of best fit can't be used to make accurate predictions from the data

Learn more about correlation coefficient here:

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f(x) =-2 |x + 1|

how do I do this?

Answers

Answer:1

Step-by-step explanation: f(x)=-2 |x+1|

plug in the f(x) which is -2 into x to solve.

|-2+1|= |-1|= 1, it turns into positive 1.

Mr. Bennett purchased a condo several years ago at a selling price of $329,550. Recently he had the condo appraised and it is now worth $184,548. By what percent did the value of the condo go down?

Answers

Answer:

44%

Step-by-step explanation:

Given that,

Initial price = $329,550.

Final price = $184,548

We need to find by what percent the value of the condo go down. The percent decrease or increase is givnen by the formula as follows :

[tex]\%=\dfrac{\text{change in value}}{\text{initial value}}\times 100\\\\=\dfrac{329,550-184,548}{329,550}\times 100\\\\=44\%[/tex]

So, the value go down by 44%.

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It was speed they wanted; they had to know how much acceleration a man could take for how long and still survive, and now it was up to him to show them.Fleetingly, he thought of Tom ... poor old stick-in-the-mud Tom, working away in his grubby little Mars-bound laboratory, watching bacteria grow. Tom could never have qualified for a job like this. Tom couldn't even go into free-fall for 10 minutes without getting sick all over the place. Greg felt a surge of pity for his brother, and then a twinge of malicious anticipation. Wait until Tom heard the reports on this run! It was all right to spend your time poking around with bottles and test tubes if you couldn't do anything else, but it took something special to pilot an XP ship for Project Star-Jump. And after this run was over, even Tom would have to admit it....There was a lurch, and quite suddenly the enormous pressure was gone.Something was wrong. He hadn't pushed the cut-off button, yet the ship's engines were suddenly silent. 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