which of the statements using operations on rational or irrational numbers always results in a rational number?

a) irrarional + irrational
b) irrational ÷ irrational
c) rational + irrational
d) rational ÷ rational​

Answers

Answer 1
Hm a irrational number is a number like this:

[tex]1.999999\inf[/tex]

So adding a rational number, like 2, it would be irrational still:

[tex]2+1.999999\inf=3.999999\inf[/tex]

That being said, answer C is wrong

Now, what is 2/2? Or 4/1? Whole numbers are one of the 3 types of rational numbers.

[tex]2\ /\ 2=1\\\\4\ / 1=\ 4[/tex]

Thus the answer appears to be D

Now lets use the process of elimination to double check the answer:

The wording of your question is what will help us out here:

Which of the statements using operations on rational or irrational numbers always results in a rational number?

Because of that, any of the choices that involve a irrational number can result with another irrational number like so:

[tex]a)\ 1.999\inf+ 1.999\inf=3.888\inf\\\\b)\ 2.999\inf / 1.999\inf= 1.50025\inf[/tex]

And there you go, the only answer that hasn't been proven wrong is answer D.

Now, if you like this answer and would like to see more please make sure to Like, Comment, and Rate this answer! Also, be sure to send me a friend request, I'm always up for a Challenge!Thanks!
Answer 2

The statement using operations on rational or irrational numbers always results in a rational number is d) rational ÷ rational​.

What are rational and irrational numbers?

We know all the real can be subdivided into two parts one is rational numbers and the other is an irrational number.

Rational numbers are those numbers that have repeating or terminating digit patterns after the decimal place and irrational numbers are those numbers that do not have this property.

a) irrational + irrational is an irrational number, √3 + √3.

b) irrational ÷ irrational is sometimes rational and sometimes irrational,

√3 ÷ √3 = 1 but √6 ÷ √3 = √2.

c) rational + irrational is always an irrational number.

d) rational ÷ rational is always a rational number.

learn more about irrational numbers here :

https://brainly.com/question/17450097

#SPJ2


Related Questions

Find the lowest value of the data this box -and-whisker ploy represents 12,1315,16

Answers

Answer:

12

Step-by-step explanation:

The lowest value is indicated by the dot at the end of the left whisker

That is the lowest value = 12

Final answer:

The lowest value in a box-and-whisker plot is the minimum of the dataset. For the given data set, the lowest value, which is the minimum, is 10.

Explanation:

The student is asking us to find the lowest value represented in a box-and-whisker plot. A box-and-whisker plot is a graphical representation of a five-number summary of a dataset: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and the maximum. The lowest value in a box-and-whisker plot is the minimum of the dataset.

To graph a box-and-whisker plot for the given data values, you would first need to arrange the data in ascending order. Then, find the minimum, Q1, median, Q3, and the maximum. The smallest number, which is placed at the leftmost part of the plot, is the minimum, also known as the lowest value of the dataset. For the data set provided (10, 10, 10, 15, 35, 75, 90, 95, 100, 175, 420, 490, 515, 515, 790), the lowest value is 10.

Using the table below, determine how much you will receive in dividends for the year from Google given that you currently hold 25 shares.
A. $87.17
B. $380.00
C. $157.00
D. $143.00

Answers

For google to 25 shares google will have to buy 25 shares $143.00

Answer:

D. $143.00

Step-by-step explanation:

The dividend refers to the percentage of a company's annual dividend compared to its share price.

In this case, according to the given table, we have a dividend of 5.72, which means that's the factor that tell us how much are we going to receive.

[tex]5.72 \times 25 = 143[/tex]

Therefore, we are gonna receive $143 due to the 25 shares with a dividend of 5.72.

So, the right answer is D.

What is the sum of the geometric series ?

Answers

Replace t with 1 through 4 and solve then add them together:

6^(1-1) = 6^0 = 1

6^(2-1) = 6^1 = 6

6^(3-1) = 6^2 = 36

6^(4-1) = 6^3 = 216

Sum = 1 + 6 + 36 +216 = 259

Answer:  The required sum is 259.

Step-by-step explanation:  We are given to find the sum of the following geometric series :

[tex]\sum_{i=1}^{4}6^{i-1}.[/tex]

The given geometric series can be written as :

[tex]0+6+6^2+6^3.[/tex]

We know that

the sum of a geometric series up to n terms with first term a and common ration r is given by

[tex]S=\dfrac{a(r^n-1)}{r-1}.[/tex]

in the given series, we have

[tex]a=1,~~r=\dfrac{6}{1}=\dfrac{6^2}{6}=\dfrac{6^3}{6^2}=6.[/tex]

Therefore, the sum up to 4 terms will be

[tex]S_4=\dfrac{a(r^4-1)}{r-1}=\dfrac{1(6^4-1)}{6-1}=\dfrac{1296-1}{5}=\dfrac{1295}{5}=259.[/tex]

Thus, the required sum is 259.

A construction worker is building a wall. The wall is
20

yd
long. He needs to place a stud every
16

in
. The first stud has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall? First fill in the blanks on the left side using the ratios shown.

Answers

I believe it is 45 studs to the end of the wall

Answer:

Step-by-step explanation:

First, convert 20 yds to 60 ft. and then from 60 ft to 720 in.

Use the formula for the nth term of an arithmetic sequence:

l = a + (n-1)d:

Here l = 720 ft, and a = 0.  The common difference, d, is 16 in.  Our task is to determine how many studs are needed.

Substituting the knowns, we get 720 = 0 + (n - 1)(16), which simplifies to:

720 = (n-1)(16).

Divide both sides by 16 to isolate (n-1):  45 = n - 1.

Adding 1 to both sides results in 46 = n.

46 studs total are needed; if the worker has already placed the first stud, then 45 additional studs are needed.

You want to buy a video game that costs $129.96. Estimate the total cost if the sales tax rate is 7%.

Answers

I think it’s 9.10 but I’m not really sure

Which equation can be used to find what percent 14 is of 125?

A..
125 = 14p

b.
14 = 125p

c.
14p = 125p

d.
125(14) = p

Answers

Answer:

B

Step-by-step explanation:

This is how I am confirming the answer:

14/125 = 0.112

125(0.112) = 14

Answer:

B. 125P=14 is the Answer

Step-by-step explanation:

1) When it says what percent 14 is of 125( what percent of 125 gives you 14)

Algebraically It's like this

125p=14

2) just solve for p

P=14/125 ( 125 is divided on both sides)

P= 0.112

3) plug in 0.112 for P

125 x 0.112 = 14

Hopes this helps you !

What multiplication expression means the same as 2^-4

Answers

Answer: 0.0625*1

Step-by-step explanation:

2^-4 = 0.0625

Answer = 0.0625

Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?


A) ∠1 and ∠2 are adjacent.


B) m ∠2 = 180° – 120°


C) m ∠1 = 120° because ∠1 and the 120° angle are vertical angles.


D) m ∠1 = m ∠2

Answers

Answer:

no picture

Step-by-step explanation:

(D): m ∠1 = m ∠2

I got it correct, trust me.

Petra is raking leaves in her backyard. Petra’s backyard is rectangular and has an area of 476 square feet. One side of the backyard is 28 ft. How long is the other side?

Answers

You have to divide 476 by 28 and you’ll get 17

20) Use the distributive property to factor the expression. 10xz − 20yz
A) z(10x − 20y)
B) 10(xz − 2yz)
C) 10z(x − 2y)
D) xyz(10 − 20)

Answers

Answer:

C. 10z(x - 2y)

Step-by-step explanation:

10xz − 20y

Factor the terms

Factors of   10xz =          2 ×      5 × x ×        z

Factors of -20yz = (-1) × 2 × 2 × 5 ×       y × z

Identify their greatest common  factor

The common factors are 2, 5, and z. The greatest common  factor is 10z.

Rewrite them with the GCF as a factor

 10xz = 10z ×      x

-20yz = 10z × (-2y)

Replace the terms in the original expression with the factored terms

10xz − 20yz = 10z(x) + 10z(-2y)

Use the distributive property to isolate the greatest common factor

10z(x) + 10z(-2y) = 10z(x - 2y)

Answer:

C. 10z(x - 2y)

Step-by-step explanation:

Michelle took a survey of the students in her grade to see how many are likely to join a book club if she starts one. She surveyed 48 students and 10 said they would join. If there are 240 students in her grade, about how many students could Michelle expect to join the book club?​

Answers

Answer: 50

Step-by-step explanation: First of all, you need to establish your rate of acceptance. This would be 10 out of 48 or 10/48. Next, you need to simplify this to 5/24. Okay now this is epic. Now you need to convert 5/24 to x/240. Simple. Just multiply both sides by ten in 5/24 and you get your answer of 50. Very cool.

Final answer:

Michelle can expect approximately 50 students to join her book club based on the proportion of surveyed students who expressed interest.

Explanation:

Michelle surveyed 48 students, and 10 said they would join the book club. To estimate how many out of the total 240 students might join, we use proportions. The first step is to set up a proportion with the numbers Michelle has provided and then solve for the unknown:

Number of students surveyed who would join / Total students surveyed = Expected number who would join / Total students in grade

10 / 48 = x / 240

To find x, multiply both sides by 240:

240 * (10 / 48) = x

Then solve for x:

x = 50

Thus, Michelle could expect about 50 students to join the book club.

how do you simplify mixed number​

Answers

Answer:

We can convert the mixed fraction into simple fraction by following method

Step-by-step explanation:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator

Then write the result on top of the denominator.

For example  [tex]2\frac{3}{5}[/tex] can be written as [tex]\frac{13}{5}[/tex]

A flashlight is projecting onto a wall, as shown below

Answers

Answer:

n  = 30

Step-by-step explanation:

The triangles share the same angle measures, so they are similar triangles.  The side lengths of similar triangles are proportional to each other, so we can set up a proportion and solve for n...

16 is to 20 as 24 is to n

16/20 = 24/n       now solve for n by cross multiplying

16n = 480

   

     n = 30      (divide both sides by 16)

The original and projected triangles are similar. We set up a proportion based on the corresponding sides.Solving for the missing length, we get 19.2 cm.None of the provided options are correct.

We are given that the original triangle and its projection are similar. This means that the corresponding angles of the two triangles are congruent, and the ratios of their side lengths are equal.

We are also given the lengths of two sides of the original triangle: 16 cm for the base and 20 cm for the hypotenuse. We are asked to find the missing length on the projection, which corresponds to the base of the original triangle.

To solve this problem, we can set up a proportion based on the similar triangles. Let x be the missing length on the projection:

(base of original triangle) / (base of projection) = (hypotenuse of original triangle) / (hypotenuse of projection)

Substituting the known values:

16 cm / x = 20 cm / 24 cm

Cross-multiplying:

16 cm * 24 cm = x * 20 cm384 [tex]cm^2[/tex] = 20x [tex]cm^2[/tex]x = 384 [tex]cm^2[/tex] / 20 [tex]cm^2[/tex]x = 19.2 cm

Therefore, the missing length on the projection is 19.2 cm. However, the answer choices are all rounded to one decimal place.

Rounding 19.2 cm to one decimal place gives us 19.0 cm. Therefore, none of the provided options are correct.

The question probable maybe:

A flashlight is projecting onto a wall, as shown below

The original triangle and its projection are similar. What is the missing length on the projection?

a. 12.6

b. 17.9

c. 35

d. 31

There are 1 1/2 pizzas left.One-third of pizza left is plain cheese.How much cheese pizza is left?

Answers

Answer:

About four of the pizzas are plain cheese, 3.83 pizzas to be exact.

Step-by-step explanation:

1/3 of 11.5 is 3.83

I WILL AWARD BRAINLIEST!! PLEASE HELP!!!
Find the areas of the trapezoids.

Answers

Answer:

A = 12 units ^2

Step-by-step explanation:

The area of the trapezoid is found by

A = 1/2 (b1+b2)h

b1 = 2

b2 = 4

h = 4

I found these by looking at the graph

A = 1/2(2+4) 4

A = 1/2(6*4)

A = 12 units ^2


Solve the equation.

4p + 25 = 6(p – 3) – 3(4 – 3p)

Answers

Answer:

p = 5

Step-by-step explanation:

first you need to distibute into the parenthesis's -

4p + 25 = 6(p-3) -3(4-3p)

4p +25 = 6p -18 - 12 + 9p

4p + 25 = 15p - 30

-4p            -4p

25 = 11p - 30

+30       +30

55 = 11p

/11     /11

5 = p

hope this helps!!

4p+25=6(p-3)-3(4-3p)=5

A cone has a diameter of 23 inches and a height of 19.7 inches. Select all of the expressions that could be used to find the volume of the cone in cubic inches? Use 3.14

Answers

Answer:

2727

Step-by-step explanation:

The formula for finding the volume of a cone is

1/3πr²h

The radius would be 11.5 because, radius equals the diameter divided by two.

So, first you would plug your numbers into the equation

1/3(π)(11.5)²(19.7)

*use 3.14 for pi

Then multiply.

V = 2726.9 (2727 if you round to the nearest whole number)

Where’s The Expressions?

A principal conducts a study to find the average age of all math teachers in a given high school by recording all their ages. What type of study is this?

Answers

Answer: using edg.?

keep it simple.

Answer is Census.

Step-by-step explanation:

Answer:

Question 1 is: Experiment

Question 2 is: Census

Step-by-step explanation:

trust me

The figure is made up of 2 hemisphere and a cylinder what is the exact volume?

Answers

Answer: D. 648*π in^3

Step-by-step explanation:

The formula for the volume of a cylinder is

[tex]V=\pi *r^2*h[/tex]

V=1130.973355 in^3

or simply

V=1130.97 in^3

or

V=360*π  in^3

Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.

Next, the formula for the volume of a sphere is

[tex]V=\frac{4}{3} \pi *r^3[/tex]

since you have two hemispheres, its the same thing as solving for one sphere because two halves make a whole. So, the volume of the sphere is

V= 904.7786842 in^3

or simply

V= 904.78 in^3

or

V=288 *π  in^3

Finally, you add both of the volumes together to get

V= 2035.75204 in^3

or simply

V= 2035.75 in^3

or

V= 648*π  in^3

The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown.

• 12 students want a beef meal
• 8 students want a chicken meal
• 5 students want a pasta meal

Based on the survey results, which of these is the best prediction of the meals wanted by the 200 students?

A] there are 16 students who want a beef meal
B] there are 52 students who want either chicken meal or pasta meal
C] there are 32 more students who want a beef meal more than want a chicken meal
D] there are 24 more students who want a pasta meal than want a chicken meal

PLEASE HELP!!! AND SHOW WORK!!!

Answers

Step-by-step explanation:

Beef = 12 * 8 (cause 25 * 8 = 200)

Beef = 96

Chicken = 8 * 8 (cause 25 * 8 = 200)

Chicken = 64

Pasta = 5 * 8 (cause 25 * 8 = 200)

Pasta = 40

Answer- C] There are 32 more students who want beef meal more than want a chicken meal

Final answer:

The best prediction of the meals wanted by the 200 students can be determined based on the proportions from the random survey. Option A, which states that there are 16 students who want a beef meal, is the best prediction.

Explanation:

The best prediction of the meals wanted by the 200 students can be determined by considering the proportions from the random survey.

The number of students who want a beef meal can be estimated by finding the proportion of students who want a beef meal in the survey and multiplying it by the total number of students. In this case, the proportion is 12/25 and the estimated number of students who want a beef meal is (12/25) * 200 = 96 students.The number of students who want either a chicken meal or a pasta meal can be estimated by adding the number of students who want a chicken meal and the number of students who want a pasta meal in the survey. In this case, the estimated number of students who want either a chicken meal or a pasta meal is 8 + 5 = 13 students.The difference in the number of students who want a beef meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a beef meal in the survey. In this case, the estimated difference is 12 - 8 = 4 students.The difference in the number of students who want a pasta meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a pasta meal in the survey. In this case, the estimated difference is 5 - 8 = -3 students.

Based on the survey results, the best prediction of the meals wanted by the 200 students is

96 students who want a beef meal

as mentioned in option A.

Which equation models the line that passes through points (4, 6) and (−4, 8)

Answers

Answer:

y = - [tex]\frac{1}{4}[/tex] x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (- 4, 8)

m = [tex]\frac{8-6}{-4-4}[/tex] = [tex]\frac{2}{-8}[/tex] = - [tex]\frac{1}{4}[/tex], hence

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 8 ), then

8 = 1 + c ⇒ c = 8 - 1 = 7

y = - [tex]\frac{1}{4}[/tex] x + 7 ← equation of line

Which table shows a proportional relationship between X and y

Answers

Answer:

B

Step-by-step explanation:

all of the numbers times three equals the number across from it.

Hope this helps!

(Area formula I used is the image I provided)


Determine the area of each of the following polygons using the area formula you created in part d.



Polygon Area

regular pentagon with apothem of approximately 9 inches and side length of 13 inches

regular octagon with apothem of approximately 5 centimeters and side length of 4 centimeters

regular hexagon with apothem of approximately 6 feet and side length of 7 feet

Answers

Answer:

1. The area of regular pentagon = 292.5 inches²

2. The area of the regular octagon = 80 cm²

3. The area of the regular hexagon = 126 feet²

Step-by-step explanation:

∵ The area of any regular polygon = 1/2 × perimeter × apothem

1. Regular pentagon

∵ Regular pentagon has 5 equal sides

∵ The perimeter of the regular pentagon = 5 × side length

∵ S = 13 inches

∴ P = 13 × 5 = 65 inches

∵ apothem = 9 inches

∴ A = 1/2 × 65 × 9 = 292.5 inches²

2. Regular octagon

∵ Regular octagon has 8 equal sides

∵ The perimeter of the regular octagon = 8 × side length

∵ S = 4 cm

∴ P = 4 × 8 = 32 cm

∵ apothem = 5 cm

∴ A = 1/2 × 32 × 5 = 80 cm²

3. Regular hexagon

∵ Regular hexagon has 6 equal sides

∵ The perimeter of the regular hexagon = 6 × side length

∵ S = 7 feet

∴ P = 7 × 6 = 42 feet

∵ apothem = 6 feet

∴ A = 1/2 × 42 × 6 = 126 feet²

   

can u guys help me on this one? please and ty!

Answers

Answer:

The radius = 3 cm.

Step-by-step explanation:

Circumference = 2* pi * radius

So 18.84 = 2* 3.14 * r

r = 18.84 / 6.28

= 3 cm.

what does 5- 4 1/2. please help ​

Answers

Answer:

1/2

Step-by-step explanation:

5 - 4 1/2 equals 1/2

Answer:1/2

Step-by-step explanation:

5 - 4 1/2

=5- 9/2

=(10 - 9)/2

=1/2

which solid figure has five faces, five vertices, and eight edges

1.triangular pyramid
2.rectangular pyramid
3.pentagonal pyramid
4.triangular prism

which of the following solid figures has the least number of vertices

1.triangular pyramid
2.hexagonal pyramid
3.cone
4.triangular prism

how many faces the are on following solid figure

1.2
2.15
3.10
4.7

Answers

1) Triangular pyramid

2) A cone

3) I don't have the picture of the figure so I don't know

Answer: this is the first ones answer is D.

The second answer will be C.

Two angles whose sum is 90 degrees are called _____

Answers

complementary angles are two angles whose sum is 90 degrees

Answer:

it is called a right angle

Step-by-step explanation:

An office has an area of 120 meters squared and it is 12 meters wide. Write an equation to represent the area.

Answers

12x = 120

If you need to find the length, it is 10 meters.



I will use x to represent the length of the room, since the letter l shows up like an I or a 1.

The simple equation is 12x = 120, since length times width equals area.

If you want to solve for the length, then divide both sides of the equation by 12. This leaves you with x = 10. So, the length of the room is 10 meters.



Please consider marking this answer as Brainliest to help me advance.

Which of the following statements is true?

A. Pi = 22/7
B. Pi = 355/13
C. Pi is the ratio of a circles circumference to its diameter
D. Pi is the ratio to a circle diameter to its circumference
E. Pi is a terminating recurring decimal

Answers

A. Pi= 22/7 =3.1415....

C. Pi is the ratio to a circles circumference to its diameter

A person can read 48 pages in 5/4 of an hour. How many pages can they read in one hour

Answers

Answer:

38.4 pages

Step-by-step explanation:

5/4 = 1.25

Rate =  pages / Time

Time = 1.25 hours

Pages = 48

Rate = 48/1.25

Rate = 38.4    

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