1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anon25 [30]
3 years ago
6

A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

\huge\boxed{14\ \text{and}\ 7}

Step-by-step explanation:

n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right

\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}

\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}

You might be interested in
Is borrowing money a <br><br> Delegated power <br> Reserved power <br> Concurrent power
grin007 [14]
I believe that it is a concurrent power
8 0
3 years ago
Each exterior angle of a regular polygon is 10°. How many sides does it have?
jeka94

Answer:

if exterior angle is 10 degrees, then interior angle is 180 -10 = 170 deg.

Each trinaglke inside the polygon will be isosceles with two angles of 170/2 - 85 degrees each.

So, angle at centre = 180 -170 = 10 deg.

Ttal angle at centre = 360 deg.

No of sides = 360 /10 = 36 sided polygon.

b) Sum of interior angles is given by (2N-4) Right angles

So: 9900 = (2N-4)x90 = 180N - 360

180N = 9900 +360 = 10260

N = number of sides = 10260 / 180 = 57 sides

5 0
3 years ago
Please help. no links
olga nikolaevna [1]

Answer:

144

Step-by-step explanation:

20×12=240

add 4 to 20 and 12

makes a new rectangle 24×16

24×16=384

384-240=144

7 0
3 years ago
Many games depend on how a ball bounces. For example, if different basketballs rebounded differently, one basketball would bounc
Crank

Answer:

Basketball = 0.743

Step-by-step explanation:

Given

Tennis:

Starting Height = 200 cm

Rebound Height = 111 cm

Soccer Balls;

Starting Height = 200 cm

Rebound Height = 120 cm

Basketball:

Starting Height = 72 inches

Rebound Height = 53.5 inches

Squash:

Starting Height = 100 inches

Rebound Height = 29.5 inches

For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.

Calculating the rebound ratio of each balls.

Rebound Ratio = Rebound Height/Starting Height

Tennis: 111/200= 0.556

Soccer Balls: 120/200 = 1.667

Basketball: 53.5/72 = 0.743

Squash: 29.5/100 = 0.295

From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.

8 0
3 years ago
In 2-3 sentences describe how you use substitution to solve a system of linear equations?
OverLord2011 [107]
You have to use the substitution method by substituting one Y value with the other
8 0
3 years ago
Other questions:
  • Helpppp!!!!! I really need it. Pleaseee!!
    14·1 answer
  • T(t)T, left parenthesis, t, right parenthesis models the temperature (in degrees Celsius) in Windhoek, Namibia when it's ttt hou
    15·1 answer
  • Kim needs to place 32 mystery books and 56 biography books on library shelves. She is to place the maximum number of books on ea
    7·1 answer
  • The tires on a new compact car have a diameter of 2.0 ft and are warranted for 63,000 miles. (a) Determine the angle (in radians
    13·1 answer
  • Which equation has roots whose sum is 3 and whose product is -4?
    11·1 answer
  • Explain what you tell Just By comparing the symbols in a picture graph
    13·1 answer
  • Pleass HELP I GIVE BRILLIANT ANSWER
    13·1 answer
  • If 2+12=18, find the value of 3−13.
    5·2 answers
  • Do research to find a species that used to be endangered but no longer is considered endangered
    12·1 answer
  • Cynthia beach wants to buy a rug for a room that is 22 ft wide and 31 ft long.she wants to leave a uniform strip of floor around
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!