kamilmatematik100504
kamilmatematik100504 kamilmatematik100504
  • 12-08-2021
  • Mathematics
contestada

If p and q are all positive integers and the maximum integer not greater than
31p/8q is 5, find the
minimum value of p +q .

Respuesta :

mhanifa
mhanifa mhanifa
  • 12-08-2021

Answer:

  • 71

Step-by-step explanation:

As per question we have:

  • p > 0, q > 0
  • 31p/8q ≤ 5 ⇒ 31p ≤ 40q

Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.

So the minimum value of p + q is:

  • 40 + 31 = 71

Answer Link

Otras preguntas

Which of the following was NOT a goal of the first stage of the French Revolution? a. to abolish serfdom b. to substantially reduce the power of the church c. t
Two prime numbers between 60 and 90
Which explorers circumnavigated the globe
which statement is true about macromolecules? a. simple sugars are made of polysaccharides. b. glycerol is made of fatty acids. proteins are made of amino acids
Use Parliament in a sentence
The burning of which of the following energy sources is most linked to global warming? a.biomass b.hydropower c.coal d.nuclear
Which of these is a right that citizens have in Israel, Iran, and Saudi Arabia? the right to practice any religion. the right to own property. the right to free
if the hikers want to share the fruit evenly,how many pieces of fruit should each person recieve
Ancient Egypt was a polytheistic society. What does this mean? Egyptians worshipped one god. Egyptians worshipped many gods. Egyptians worshipped different type
Is an organelle living or nonliving?