Can rational numbers be expressed as a fraction of two integers

Answers

Answer 1

Yes, this is what a rational number is.

Answer 2

Yes this is the exact definition of what it means to be a rational number. A rational number is one that is a fraction of two whole numbers (or integers). The denominator, or the number in the bottom of the fraction, cannot be 0.

Some examples:
7 = 7/1
2/3
8/10
0.5 (since this equals 1/2)
the square root of 64 (since it equals 8 = 8/1)
any repeating decimal
any terminating decimal

Non-examples are things like...
sqrt(7)
pi
log(3)
any decimal where there isn't a clear pattern that repeats

Related Questions

Classify each pair of labeled angles as complementary, supplementary, or neither.

Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category.

Answers

Answer:

The table in the attached figure

Step-by-step explanation:

we know that

If the sum of two angles is equal to [tex]90\°[/tex] then the angles are complementary

If the sum of two angles is equal to [tex]180\°[/tex] then the angles are supplementary

In this problem

[tex]61\°+29\°=90\°[/tex] ------> the angles are complementary

[tex]90\°+89\°= 179\°[/tex] -------> neither (not complementary, not supplementary)

[tex]63\°+47\°= 110\°[/tex] -------> neither (not complementary, not supplementary)

Answer:

61 and 29 are complementary and 90 and 89 and 63 and 47 are neither

Step-by-step explanation:

I took the test

Mr. and Mrs. Pierotti are remodeling their kitchen. They need 9 square yards of covering for the floor. Jackson Interiors quoted them a price of $81 for 9 square yards of linoleum. Carpet Master told them that carpeting would cost $6 per square yard. Which is cheaper—the linoleum or the carpeting?

Answers

Carpet Master would be cheaper because 6 x 9 would be 54 $$$

Carpeting is cheaper

Insert parentheses to make statement true 17-8-5=14

Answers

17-(8-5)=14 is the correct answer

17-3=14 so
ah, got it

17-(8-5)=14
17-(3)=14
17-3=14
true

so it should be 17-(8-5)=14

if a and b are in plane p, then ab ________?

Answers

Answer:

then ab is coplanar and colinear

Step-by-step explanation:

When two points are in the same plane they are coplanar and two points are always colinear.

An example of consecutive odd integers is 23, 25, 27, and 29. Find four consecutive odd integers with sum of 160. Show your work. After completing the problem, write out the steps, in words, that you used to solve the problem.??????????????Please write the steps to so I can understand Please...Thankyou

Answers

To find the off integers that add to 160, first divide 160 by 4 to get 40. Now you know the four numbers will be around 40, which means that two of the number will be less than 40 and two will be greater than 40. Since they have to be odd, consecutive integers, you know that the four number are 37,39,41,43. To check your work, add the numbers together to get 160. :)

37, 39, 41, and 43. The least is 37, and the greatest is 43. :)

What is 17,210,000,000 written in scientific notation? Enter your answer in the box.

Answers

That's easy 172.1 times 10 with the exponent of 7
.

Answer:

Heres Proof The First Anwser Is Wrong </3

Step-by-step explanation:

Cupcakes are packed 6 to a box. If Abby only buys full boxes of cupcakes give two possible numbers of cupcakes that she could buy.

Answers

6,12. if she bought 1 box thats 6 cupcakes, and if she bought 2 boxes then thats 12 cupcakes.

Answer:

The two possible numbers of cupcakes that she could buy can be 6,12,18 etc.

Step-by-step explanation:

As given:

Cupcakes are packed 6 to a box.

Abby only buys full boxes of cupcakes.

So, basically if she only wants full boxes, then she must get cupcakes in multiples of 6. Like : 6,12,18,24....

Therefore, any number that is a multiple of six is acceptable here.

For Carolinas birthday her mom took her and 4 friends to a water park. Carolinas mom paid $40 for 5 student tickets.what was the price for one student ticket?

Answers

If you divide 40 and 5 it equals $8 for 1 student ticket

Each student ticket would be eight dollars.

Negative three fourths plus negtive one half

Answers

the solution is -5/4= -1 1/4

The answer is -1 1/4 or -5/4

The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent

Answers

send a picture i need to see

Answer:

Constant rate of change is 9

Step-by-step explanation:

To find the constant rage of change we pick 2 points from the graph

points (0,0) and (1,9)

Rate of change is the slope

[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope =\frac{9-0}{1-0}=9[/tex]

Slope = 9/1

Constant rate of change is 9

points (0,0) and (1,9) represent 9 units up from (0,0) and 1 units the right

Ballio has a reading goal. He checks 3 boxes of 9 books out from the library. After finishing them, he realizes that he beat his goal by 4 books! Label the tape diagrams to find Ballio's reading goal.

Answers

The number of books that Ballio was able to read can be determined by multiplying the number of boxes he checked out and the number of books per box. This is as shown below,
N = (3 boxes)(9 books/box)
N = 27 books

Since, it is stated that he beat his goal by 4 books, his goal is equal to the calculated number minus 4.
Goal = 27 books - 4 books
Goal = 23 books

ANSWER: 23 books

Can some one give me the answers to theses please!

Answers

6. Susana. Based on how they swam in their event, you can find out the possible time each person swam. Multiplying Tawni's time by four and Pepita's time by two and seeing which time is the least will give you this answer.

7. Ben can type 510 words in 10 minutes.

8. The extra fabric will cost $4.98.

Jacob earns £93.20 for 8 hours work. he gets the same amount of pay for each hour. what is his rate of pay per hour?

Answers

The answer is 11.65!

A park district has 25 elm trees and 20 oak trees to be planted.They are separating the trees for different areas.They want each area to have the same number of elm trees and the same number of oak trees. What is the greatest number of areas that can be created?

Answers

The answer is 10 because

Answer: There are 5 number of areas that can be created.

Step-by-step explanation:

Since we have given that

Number of elm trees = 25

Number of oak trees = 20

According to question, They want each area to have the same number of elm trees and the same number of oak trees.

So, the greatest number of areas that can be created is H.C.F. of 25 and 20 = 5.

Hence, there are 5 number of areas that can be created.

On thursday, the high temperature was 5 degrees warmer than low temperture and the low temperature is -1

Answers

F-22=-6 help please I'm trying

Is 0.17 larger or smaller than 0.165

Answers

I think it is bigger because if you look at the 2nd numbers in each number the 7 is bigger than the 5,6,1.The 0's just stay the say same.

I don't know if this is the right answer this just what i think the answer is

Question 3(Multiple Choice Worth 4 points) (02.01)Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, what is the measure of angle M'? 40 degrees 45 degrees 50 degrees 130 degrees

Answers

The answer would be C) 50 degrees.

Answer:

The answer is 50

Hope this helps

:) Get a good grade

Write the inequality that represents the sentence below. Twice a number is at least 15

Answers

2x > = 15 <== ur inequality

I know this has been answered, but i still want to explain it, if you wanted help

2n ≥ 15

work:

extract the elements of the problem.

Twice a number (we will use 2n because we don't know the number)
at least 15 (≥ 15 make sure you have the line underneath the equality symbol! "at least 15" means it ca also be 15!)

put them together.

2n ≥ 15

hope this helped! :D

What is the awenser of 1/3 divided by 1/4

Answers

it would be 4/3 because 1/3 times 4/1 is 4/3

1/3 divided by 1/4

1/3(4/1)= 4/3= 1 1/3

The answer is 1 1/3.

Hope this helps!

Explain if 12.1 is rational or irrational

Answers

It is rational because it is a terminating decimal. It can be represented as a ratio of two integers (121/10)

Paul makes 3 5/6 dozen cookies. He gives each of his friends 1/6 dozen cookies.

How many friends does Paul give cookies to?

Hurry and help, please.

Answers

If he gives ALL of the cookies away..

3 5/6 = 6/6 + 6/6 + 6/6 + 5/6

6+6+6+5 = 23

Paul has 23 friends. (if he takes 1/6, then he has 22)

hope this helps

d= c-s/n solve for n

Answers

Step 1: d = c-s/n
Step 2: dn = c-s
Solution is n = c-s/d :-)

Name the property illustrated by the statement:

If d+1=f, then d=f-1 .

It's a property of equality, but I'm not sure which one. Please explain which one it is and why it's that one. Thanks! :-)

Answers

This is most likely the transitive property. The transitive property states a=b and b=c. which means a=c. It's merely stating that the functions are equal!!

Answer:

subtraction property of equality.

Step-by-step explanation:

IF any number is added on both sides of equation then it is addition property of equality.

If any number is subtracted from both sides of the equation then it is subtraction property of equality.

If d+1=f, then d=f-1 .

[tex]d+1=f[/tex]

To get 'd' alone , 1 is subtract from both sides

[tex]d=f-1[/tex]

1 is subtract from both sides of the given equation.

So it subtraction property of equality.

The distance driven in miles is proportional to the time driven in hours. Ebony drives at a constant rate and plots her progress on a coordinate plane. The point (3, 180) is plotted. At what rate is Ebony driving in miles per hour?

Answers

Answer:

the answe is 60 on usapreptest

Step-by-step explanation:

The rate at which Ebony driving is 60 miles per hour.

The given coordinate point is (3, 180).

Average rate is a measure of how much the function changed per unit, on average, over that interval.

Here, 180/3 = 60 miles per hour

Therefore, the rate at which Ebony driving is 60 miles per hour.

To learn more about the rate visit:

https://brainly.com/question/13448675.

#SPJ6

What does 14•y=70 equal

Answers

14 x y = 70

y = 70/14

y = 5

hope this helps

If c = 30 and d = 8, then 2c + 4d =
A) 512
B) 278
C) 136
D) 92

Answers

2c + 4d = 2*30 + 4*8 = 60 + 32 = 92

D) 92

Answer:

The answer to this problem is D: 92

Step-by-step explanation:

Which ordered pair minimizes the objective function C = 60x + 85y?. (0, 160). (55, 70). (80, 50). (170, 0)

Answers

The ordered pair which minimizes the function C = 60x + 85y is ordered pair (80, 50). The correct answer between all the choices given is the third choice.

Step-by-step explanation:

The given objective function is [tex]C = 60x + 85y[/tex]

To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.

For (0, 160)

[tex]C=60\times 0+85\times 160=13600[/tex]

For (55, 70)

[tex]C=60\times 55+85\times 70=9250[/tex]

For (80, 50)

[tex]C=60\times 80+85\times 50=9050[/tex]

For (80, 50)

[tex]C=60\times 170+85\times 0=10200[/tex]

Hence the ordered pair which minimizes the objective function is (80, 50)

Solve for the variable. Type the value of the variable in the answer. For example if x = 2, only enter 2 in the answer blank.
Solve.

3f = 96

------------------------

Answers

F is 32, just use the inverse operation of multiplication which is division

hello :
Solve.

3f = 96 so : f= 32

What is the slope of the line on the graph? Enter your answer in the box. A coordinate grid that includes the line y equals negative two x. Points are plotted at begin ordered pair 3 comma negative six end ordered pair begin ordered pair 0 comma 0 end ordered pair and begin ordered pair negative 3 comma 6 end ordered pair.

Answers

The slope is -2.
Hope this helps!

Final answer:

The slope of the line described by the equation y = -2x is -2. This indicates that the line has a negative slope, decreasing 2 units on the y-axis for every increase of 1 unit on the x-axis.

Explanation:

The slope of a line is a measure of its steepness, typically represented by the symbol 'm' in the equation of a straight line, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. To calculate the slope of a line given points on a graph, we use the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two distinct points on the line. For the given line y = -2x, which is already in slope-intercept form, the slope 'm' is directly provided as -2. No calculation is needed since the equation itself indicates that the slope is -2, meaning for every increase of 1 on the x-axis, there is a decrease of 2 on the y-axis.

Can anyone help me with this kinda stuck

Answers

its D. -23x+12 because
4 times 3 is 12
4 times -6x is -24x
-24x + x is -23x
12 + -23x is your answer

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