iuliananistor7
iuliananistor7 iuliananistor7
  • 20-03-2017
  • Mathematics
contestada

20 points up for the answer

20 points up for the answer class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 20-03-2017
[tex]\dfrac ab=\dfrac38\implies a=\dfrac38b[/tex]
[tex]\dfrac bc=\dfrac6{11}\implies c=\dfrac{11}6b[/tex]

[tex]\implies a+b+c=\left(\dfrac38+1+\dfrac{11}6\right)b=\dfrac{77}{24}b[/tex]

Since each of [tex]a,b,c[/tex] are integers, so must be [tex]a+b+c=\dfrac{77}{24}b[/tex]. The only way for this to be the case is if [tex]b[/tex] is a multiple of 24 because 77 and 24 share no common divisors. The smallest multiple would be [tex]b=24[/tex]. So the smallest value of [tex]a+b+c[/tex] is 77.
Answer Link

Otras preguntas

what is the magnitude of g at a height above earth surface where free fall acceleration equal 6.5m/s2
Gary mails power of 10 third flyers to clients in one week how many flyers does gary mail
The mid-Atlantic colony of Pennsylvania was founded by William Penn PRIMARILY because of his
A good way to spend a mini-vacation is to?
( 4 ten thousands 8 hundreds) ÷ 10 in unit form and standard form
Find a rational number halfway in between 1/2 and 4/9
what does gelatinous secretion mean
could you please decrease 42kg by 3%
If you wanted to make an accurate scale model of the hydrogen atom and decided that the nucleus would have a diameter of 1mm, what would be the diameter of the
While driving on the highway, Fiona averages 60 miles per hour. In the city, she averages 30 miles per hour. On a trip to her grandmother's house, Fiona drives