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
Katyanochek1 [597]
3 years ago
6

Show that the sum of the reciprocals of three different positive integers is greater than 6 times the reciprocal of their produc

t.
Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0
If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true
You might be interested in
Solve the system of linear equations by graphing.
Inga [223]

Answer:

The solution is shown in the graph.

x= 2.3

y= 4.3

3 0
3 years ago
HURRRRRRYYYYYYY 1 QUESTION EXPERTS/ACE HELP QUICK!!!!!
Tomtit [17]
I believe the answer is 275 miles. Hope this helps!
8 0
3 years ago
Read 2 more answers
Please can someone help me answer these questions? Would be really grateful if it was done by the 12th of January. Thank you :)
FrozenT [24]
1. 4g= 37-5
 ⇒ 4g= 32
⇒ g= 32/4
⇒ g= 8

2. c= 5*6
⇒ c= 30

3. f+4= 3*5
⇒f+4= 15
⇒ f= 15-4
⇒ f= 11.

4. b+6= 30/5
⇒ b+6= 6
⇒ b= 6-6
⇒ b=0

5. a-5= 60/5
⇒ a-5= 12
⇒ a= 12+5
⇒ a= 17

6. e+2= 45/5
⇒ e+2= 9
⇒ e= 9-2
⇒ e= 7

7. d-5= 12/3
⇒ d-5= 4
⇒ d= 4+5
⇒ d= 9

8. m-4= 16/4
⇒ m-4= 4
⇒ m= 4+4
⇒ m= 8

9. q+6= 30/5
⇒ q+6= 6
⇒ q= 6-6
⇒ q= 0

10. h/3= 3+5
⇒ h/3= 8
⇒ h= 8*3
⇒ h= 24

11. 3c= 3-5
⇒ 3c= -2
⇒ c= -2/3

12. x/3= 6-7
⇒ x/3= -1
⇒ x= -1*3
⇒ x= -3

13. 6p= 2+1
⇒ 6p= 3
⇒ p= 3/6
⇒ p= 1/2

14. 2d-7= 27/3
⇒ 2d-7= 9
⇒ 2d= 9+7
⇒ 2d= 16
⇒ d= 16/2
⇒ d=8

15. b-3= 5/2
⇒ b-3= 2.5
⇒ b= 2.5+3
⇒ b= 5.5

16. y-1= 1/3
⇒ y= 1/3+1
⇒ y= 1 1/3

17. 5v= 9-3
⇒ 5v= 6
⇒ v= 6/5
⇒ v= 1.2

18. n-3 = 3*6
⇒ n-3= 18
⇒ n= 18+3
⇒ n= 21

19. t+10= 1*4
⇒ t+10= 4
⇒ t= 4-10
⇒ t= -6

20. 3c+4= 3*5
⇒ 3c+4= 15
⇒ 3c= 15-4
⇒ 3c= 11
⇒ c= 11/3
⇒ c= 3 2/3

Hope this helps~
6 0
3 years ago
Read 2 more answers
Why is radian measure used in Geometry?
Vladimir [108]
The infinite series description of trig functions is much neater when the argument is radians. For example, for small angles, sin(x) ≈ x when x is in radians. You could say that radians is the "natural" measurement unit for angles, just as "e" is the "natural" base of logarithms.

If the angle measure were degrees or grads or arcseconds, obnoxious scale factors would show up everywhere.
3 0
3 years ago
(2-n)8 i need help solving n
WINSTONCH [101]

(2−n)(8)

=(2+−n)(8)

=(2)(8)+(−n)(8)

=16−8n

=−8n+16

5 0
3 years ago
Other questions:
  • danielle spent $35 on a magazine and some notepads. if the magazine cost $3 and each notepad cost $4 then how many notepads did
    12·1 answer
  • Please help me solve
    8·1 answer
  • PLEASE ANSWER!!!
    12·1 answer
  • Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 86 boards,how long are they altoge
    15·1 answer
  • Point U is on line segment <br> TV<br> . Given TV=8 TU=2, determine the length uv<br> .
    9·1 answer
  • Neda sells televisions. She earns a fixed amount for each television and an additional $15 if
    11·1 answer
  • Cylinder has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648n. What is the percent change in the
    9·1 answer
  • A police car is approaching a right-angled intersection from the north at 35 mph, and a speeding car is heading east at 30 mph.
    13·2 answers
  • To encourage people to vote, Tatiana calls her family
    12·1 answer
  • 50 POINTS!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!