if the product of any two rational numbers is 2 and one of them is 1/7, find the other

Answers

Answer 1

Answer:

14

Step-by-step explanation:

1/7*X=2

X=2/(1/7)

X=2*7

X=14

Answer 2
Given :-

Product of two rational numbers = 2

One of the number = [tex] \frac{1}{7} [/tex]

To find:-

The other number.

[tex]\huge{\boxed{\boxed{\tt{\purple{Solution\:⤵}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: 14.}[/tex] ✅

Step-by-step explanation:-

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]product \: of \: two \: rational \: numbers \: = 2 \\ ⇢  \frac{1}{7} \times x = 2 \\ ⇢ x = 2 \times 7 \\ ⇢ x = 14[/tex]

[tex]\sf\red{Therefore,\:the\:other\: number\: is\: 14.}[/tex]

To verify:-

[tex] \frac{1}{7} \times 14 = 2 \\➪ \: \frac{14}{7} = 2 \\ ➪ \: 2 = 2\\ ➪ \: L. H. S. = R. H. S.[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]


Related Questions

Multiply. Express your answer in simplest form. 3 1/2 x 1 2/5. Show work.

Answers

Answer:

4 9/10

Step-by-step explanation:

Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?

Answers

Answer:

Yes, he has enough pieces to wrap the present

Step-by-step explanation:

Given

[tex]Presents = 7[/tex]

[tex]Cuts = 6[/tex]

Required

Is there enough pieces to wrap all presents

As a general rule;

When a piece is cut in 1 place, you get 2 pieces

When a piece is cut in 2 places, you get 3 pieces

When a piece is cut in 3 place, you get 4 pieces

This implies that:

n cuts gives n + 1 pieces

i.e.

[tex]n \to n + 1[/tex]

So, we have:

[tex]6\ cuts \to (6 + 1) pieces[/tex]

[tex]6\ cuts \to 7\ pieces[/tex]

Hence, there are enough pieces.

When did the low temperature occur?
A 0 midnight
B 3 am
C 5 am
D 15(3PM)

Answers

Answer:C

Step-by-step explanation:

We can see that at 5 am it is at the lowest point.

Answer:

C 5am

Step-by-step explanation:

The temperature starts at midnight which is 35. But if you look at the bottom of the chart there is a 5am, 10am, 15(3pm). At 5am it went down to 30. And then went back up.

3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction

Answers

Answer: 13/4

Step-by-step explanation: it was 3.25 and that as a fraction is 13/4

3/4 + ( 1/3 × 6 ) + 1/2 =

3/4 + 2/4 + ( 2 ) =

3 + 2/4 + 8/4 =

5/4 + 8/4 =

5 + 8/4 =

13/4

Question 8 (1 point)
At your high school, you are trying to determine the probability that a student takes
Spanish given that the student is taking Marketing. Which of the following
statements explains how to BEST gather the data to determine this probability?

Determine the number of students taking Marketing, the number of students
taking Spanish, the total number of students, and the distribution of students.

Survey students taking Marketing to determine how many also take Spanish.

Survey students taking Spanish to determine how many also take Marketing.

Determine the number of students taking Marketing, the number of students
taking Spanish, and the total number of students.

Answers

Probly the first one it looks right

Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.

Answers

It clearly states to use mental math not brainly, sorry bro can't do anything for you

Which expression correctly illustrates the greatest common factor being factored out of the expression 72 + 40?
A. 2(36 + 20)
B. 4(18+10)
C. 6(12+7) D. 8(9+5)

Answers

D 8(9+5) because 8 is the GCF

Click here to log into Newsela
Once you are logged in you need to find an article related to Math to read. If you click the search button and type in Math you will find hundreds of articles to choose from.

The name of the article I chose is ____ and the author is ______.

Please write one paragraph in response to the article. In your paragraph summarize the article and specifically explain the connection it has to math.

Contain at least 4 complete sentences.
Have sentences that start with capital letters and end with punctuation.
Be written in your own words.
Include a specific quote or evidence from the article to show the math connection.

Answers

Answer:

n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.

Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.

Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.

Step-by-step explanation:

Answer:

n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.

Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.

Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.

Step-by-step explanation:

Find the measure of the arc or angle indicated

Answers

angle sjjsjwjsjsjsjjsjs

The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?

Answers

Answer:

54461.33 cubic feet

Step-by-step explanation:

Given data

Height of cylinder= 40 feet

Radius= 20feet

Height of cone= 10 feet

Radius of cone= 20feet

Volume of Cylinder= πr^2h

Volume of Cylinder= 3.142*20^2*40

Volume of Cylinder= 3.142*400*40

Volume of Cylinder= 50272 cubic feet

Volume of Cone= 1/3πr^2h

Volume of Cylinder= 1/3*3.142*20^2*10

Volume of Cylinder= 1/3*3.142*400*10

Volume of Cylinder= 1/3*12568

Volume of Cylinder=4189.33 cubic feet

Hence, the volume of the silo = volume of cylinder+ volume of cone

Volume of silo= 50272+4189.33

Volume of silo=54461.33 cubic feet

Select all expressions that equal −7−(−12) .

A
7+(−12)

B
−7+(−12)

C
−7+12

D
7+12

Answers

Answer:

C, -7+12

Step-by-step explanation:

-7--12= 5

-7--12 can also be -7+12

Answer:

The answer is c

Step-by-step explanation:

-7-(-12) = 5

The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle

Answers

Answer:

18 cm

Step-by-step explanation:

Let X represent a square

For it to be a rectangle, needs to be:

X X X

X X X

X X X

(It's a giant square made of squares)

This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.

For Example:

X X X X

X X X X X

It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.

So if the length is 18cm, the width is also 18cm.

How do you write 0.0006363 in scientific notation?

Answers

Answer:

Step-by-step explanation:

Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have

[tex]6.363*10^{-4[/tex]

write answer in equation y=mx+b

Answers

Answer:

y = 50x + 150

Step-by-step explanation:

The y-intercept is 150. b = 150

The slope is found using two points such as (2014, 450) and (2010, 250)

m = (450 - 250)/(2014 - 2010) = 200/4 = 50

y = mx + b

y = 50x + 150

HOW DO I SOLVE THIS???!!

Answers

Answer:

K=32

Step-by-step ex

HELP DUE IN 20 MINS!
Write the equation of the following circle:??

Answers

Answer:

its 9

Step-by-step explanation:

i pretty sure im right

4+1=5,5+2=12,6+3=21,8+11?​

Answers

Hello~

4+1=5

5+2=12

6+3=21

8+11 =

The First one is correct!

Ary~

The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.

Answers

Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.

Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?

Answers

The second option should be chosen as it depicts the amount with the lowest interest.

How to calculate the interest

For option 1, the annual interest will be:

= $1300 × 16.5% = $214.50

The monthly finance charge will be:

= $1300 × (0.165/12)

= $17.88

The minimum monthly payment for the first month will be:

= $100 + $17.88 = $117.88

Hence, the total amount paid will be:

= ($117.88 × 12) + $214.50

= $1629.06

For option 2, the simple interest will be:

= (1300 × 12.5%)

= $162.50

The amount that will be paid monthly will be:

= $1000/12

= $83.33.

In this case, the total amount paid will be:

= $162.50 + $1300

= $1462.50

Therefore, the second option is better as it's cheaper.

Learn more about interest on:

https://brainly.com/question/2294792

Randy has 36 tiles.
How should he arrange them so that he has the smallest perimeter?
A.

4 by 9 rectangle
B.

3 by 12 rectangle
C.

1 by 36 rectangle
D.

6 by 6 rectangle

Answers

Answer:

Smallest perimeter setup is (6 by 6 rectangle)

Step-by-step explanation:

Given:

Total number of tile = 36

Find:

Smallest perimeter setup

Computation:

Perimeter = 2(a + b)

So,

Perimeter if (4 by 9 rectangle )

Perimeter if (4 by 9 rectangle ) = 2[4+9]

Perimeter if (4 by 9 rectangle ) = 2[13]

Perimeter if (4 by 9 rectangle ) = 26

Perimeter if (3 by 12 rectangle )

Perimeter if (3 by 12 rectangle ) = 2[3+12]

Perimeter if (3 by 12 rectangle ) = 2[15]

Perimeter if (3 by 12 rectangle ) = 30

Perimeter if (1 by 36 rectangle )

Perimeter if (1 by 36 rectangle ) = 2[1+36]

Perimeter if (1 by 36 rectangle ) = 2[37]

Perimeter if (1 by 36 rectangle ) = 74

Perimeter if (6 by 6 rectangle )

Perimeter if (6 by 6 rectangle ) = 2[6+6]

Perimeter if (6 by 6 rectangle ) = 2[12]

Perimeter if (6 by 6 rectangle ) = 24

So,

Smallest perimeter setup is (6 by 6 rectangle)

find the diameter of a circle with the circumference of 10cm

Answers

How to find the radius of a circle with a circumference of 10 centimeters? To find the radius of a circle with a circumference of 10 centimeters, you have to do the following: Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter, 3.18 centimeters.

please help. The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

Answer:

(-4,0) (-5,0) and (1,0)

Step-by-step explanation:

you don’t have to tell me the answer i just dk what to do for this problem

Answers

Answ either

Step-by-step explanation:

DEFINATION OF HABIT IN 50 WORLDS?​

Answers

Answer:

Something you do frequently or on a regular basis is known as a habit.

When he gets nervous, he has a cute habit of licking his lips. [includes]

...an investigation into the eating habits of people in the United Kingdom.

Step-by-step explanation:

Which answer choice correctly names the circle?

Answers

Answer:

Step-by-step explanation:

Is their suppposed to be a pic

Plz help me it’s being timed

Answers

Answer:

7 = The y-intercept of the exponential function

1 = The y-intercept of the linear function

2 = The number of points of intersection

5 = The y-value of the solution in Quadrant I

Tell me if i'm wrong

Wants to wrap a shipping box shaped like a rectangular prism. The box is 25 inches tall and has a square base with sides that each measure 6 inches. How much paper will she​ use?

Answers

Answer:

672 square inches

Step-by-step explanation:

Given data

Height= 25inches

Lenght = 6 inches

Width= 6 inches

The expression for the area of the box is given as

TSA= 2 (lh + lw+ hw)

TSA= 2(6*25+ 6*6+ 25*6)

TSA=  2(150+ 36+150 )

TSA= 2*(336)

TSA= 672 square inches

What is the probability of rolling a four on the first die and a two on the second die?
(There are 6 sides)​

Answers

Answer:

1/36

Step-by-step explanation:

Probability of hitting 4 : 1/6

Probability of hitting 2: 1/6

The probability of these two elements: 1/6 * 1/6 = 1/36

2x−15y=−10 −4x+5y=−30
Solve the following system for y:

Answers

Answer:

10

Step-by-step explanation:

multiply the first equation by 2 in order to be able to cancel out the -4z and the 2x

4x-30y=-20

-4x+5y=-30

50y+5y = -20+(-30)

55y=-50


A ladder leans against the wall at the point B
(window end) from a ground level and makes an
angle horizontally at 52º. The height of ladder is 15
m. When the same ladder leans above the point B
at point A (window start) and makes an angle of 85°
horizontally. The distance between point A and
point B is

Answers

Answer:

..........

Step-by-step explanation:

Given:

The height of the ladder = 15 m

When the ladder leans at point B from the ground level, then it makes an angle  of 52° with the horizontal

When the ladder leans at point A from the ground level, then it makes an angle  of 85° with the horizontal

To find:

The distance between point A and point B is?

Solution:

To solve the above-given problem, we will use the following trigonometric ratio of a triangle:

Referring to the figure attached below, we will assume,

BD = AD = 15 m = height of the ladder

∠BDC = 52° = angle of elevation to the foot of the window

∠ADC = 85° = angle of elevation to the top of the window

Now,

In ΔBCD, we have

Opposite side = BC

Hypotenuse = BD = 15 m

θ = 52°

and

In ΔACD, we have

Opposite side = AC

Hypotenuse = AD = 15 m

θ = 85°

∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m

Thus, the distance between point A and point B is 3.12 m.

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

Also View:

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

A I think because it’s the correct answer I found
Other Questions
Fill in the blank in the following sentence with appropriate form of the profession in parentheses.Ma mre est _____. (mechanic) which of the statements below best describes the transformation of the graph of f(9x)? Which of the following does not cycle quickly!A) WoodB) OilC) WaterD) Carbon For how many years was Cuba controlled by Spain? Who helped them gain their independence?What was the goal of the Platt Amendment?How do you think Cuba felt about the Platt Amendment?Compare the Platt Amendment to the political cartoon. What is the message? Explain.Describe Batistas clothing. What message do you think he is trying to portray? Compare this to the description of his government.Identify the causes of the Cuban revolution.Compare and contrast the communist revolution in Cuba to the ones in China and Russia.What does Raul Castro mean when he says historical ills?What do you think he means by Agrarian Reforms? Who would own agriculture/farms in the newly communist Cuba? Explain.Why might the US be concerned about Castros Agrarian Reforms? Why do you think the US was concerned about Castros new government in Cuba? Discuss this from both an economic and foreign policy perspective.How does the US respond to communism in Cuba? At first? Long-term?What is Castros response to the Bay of Pigs and Kennedy? What does Castro say he is doing to change Cuba?Why do you think Castro requested nuclear weapons in Cuba? Why was the US so concerned about this request? Does this contradict Castros 1961 speech? Explain.Why did Cuba isolate itself from the US?Why do you think Cuba aligned itself with China and the USSR? Why do you think Cuba aligned itself with South American nations?Describe US-Cuba relations today. Have they normalized? Why or why not? Use evidence from your reading, including Castros 2014 speech. the types of milatary are safe A right triangle (90) has a one angle that measures 55 degrees. What is the measure of the third angle? 90 degrees145 degrees35 degrees180 degrees (reply with an answer to the question or get reported) Please solve it with the steps ty At the beginning of the week, a puppy weighed 514 pounds. During the week, the puppy gains 8 ounces.How much does the puppy weigh, in pounds, at the end of the week?Enter your answer as a mixed number in simplest form by filling in the boxes 8.(a) Tick () the box next to the correct statement about the mixture.mixture of four elementsmixture of four compoundsmixture of two elements and two compoundsmixture of one element and three compounds The annual interest rate on a 15-yearmortgage on a house assessed at a valueOf $450 000 is 5 cents on every $1 Whatis the interest paid on the mortgage for thefirst year? Ed is taking off from work for four hours this afternoon and going to a baseball game. The ticket to the game costs $25 and it costs $15 to park at the stadium. Ed earns $15 an hour at his job. Ed's opportunity cost of going to the ball game is: Please choose the correct answer from the following choices, and then select the submit answer button. Answer choices $25. $100. $60. $50. Ayaan does push-ups and sit-ups every morning. He does p push-ups and 2p + 5 sit-ups. Which statement describes the number of sit-ups Ayaan does every morning?The number of sit-ups is 5 more than twice the number of push-ups he does.The number of sit-ups is 5 more than half the number of push-ups he does.The number of sit-ups is 5 fewer than twice the number of push-ups he does.The number of sit-ups is 5 fewer than half the number of push-ups he does. Write a summary about the advice given to people who are planning to go to Treetop World. What is the iupac name of CH3-O-CH2-CH2-CH3? The following is the adjusted trial balance for Stockton Company. Stockton Company Adjusted Trial Balance December 31 Cash 5,649 Accounts Receivable 2,468 Prepaid Expenses 660 Equipment 14,231 Accumulated Depreciation 2,782 Accounts Payable 1,745 Notes Payable 4,564 Common Stock 1,000 Retained Earnings 8,538 Dividends 783 Fees Earned 8,977 Wages Expense 2,286 Rent Expense 765 Utilities Expense 426 Depreciation Expense 267 Miscellaneous Expense 71 Totals 27,606 27,606 Determine the net income (loss) for the period. a.Net income $4,379 b.Net loss $4,379 c.Net loss $5,162 d.Net income $5,162 Write a function rule for the area A(h) of a parallelogram whose base is 3 units more than its height h. A. A(h) = h2 + 3 B. A(h) = h2 + 3h C. A(h) = h2 + 3h + 3 D. A(h) = h + 3h What vegetation grows in areas with adequate rainfall? Where is this vegetation typically found? Svp aidez moi ) Un pre a 42 Ans et sa fille 12 Ans On veut trouver la rponse cette question : dans combien dannes lge du pre sera t-il le triple de celui de sa fille ? Jeff purchased $550 of goods and received credit terms of 5/15, n/30. How much did he pay if payment was made during the discount period? (Round any intermediate calculations to the nearest cent, and your final answer to the nearest dollar.) Solve x + 5x 14 = 0