peppapig7 peppapig7
  • 17-10-2020
  • Mathematics
contestada

If $a:b = 1:3$ and $b$ is a positive, one-digit integer, what is the greatest possible value of $a$?

Respuesta :

jimthompson5910 jimthompson5910
  • 17-10-2020

Answer is 3

=========================================

Work Shown:

a:b = 1:3

a/b = 1/3

a*3 = b*1 ... cross multiply

3a = b

b = 3a

Since b is a one digit number, this means that the largest it can get is 9

[tex]b \le 9\\\\3a \le 9\\\\a \le \frac{9}{3}\\\\a \le 3[/tex]

The largest possible value of 'a' is 3

Answer Link

Otras preguntas

40% change percent to a fraction in lowest term
why do people create,structure, and change government?
Which sentence correctly states the relationship between the federal and the state judiciaries?
what factor most heavily influences the differing climates of Latin America?
Which body of water most contributes to trade in Oceania? Baltic Sea Indian Ocean Mediterranean Sea Pacific Ocean
what is the root or. base word of howling
What is the linking verb in this sentence? The sky looks clear and bright. A.bright B.sky C.looks D.clear
Ten boys share 7 cereal bars equally.What fraction of a cereal bar does each boy get?
is 9.0 Less than 9.01
20÷2(5+5) = What is the answer