raidachowdhury09
raidachowdhury09 raidachowdhury09
  • 23-04-2022
  • Mathematics
contestada

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

A. 2/3
B. 1/1
C. 3/2
D. 5/3

Respuesta :

profereyes12122
profereyes12122 profereyes12122
  • 23-04-2022

Answer:

D. 5/3

Step-by-step explanation:

[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]

[tex]1/6+1/2+1/3+x=8/3[/tex]

[tex]x=8/3-1/6-1/2-1/3[/tex]

[tex]x=8/3-1/6-3/6-2/6[/tex]

[tex]x=8/3-6/6[/tex]

[tex]x=16/6-6/6=10/6[/tex]

simplified

[tex]x=5/3[/tex]

Hope this helps

Answer Link

Otras preguntas

Write 2/3 of 4 as a fraction?
What is bigger 9/2 or 8/3?
Which polynomial is written in ascending order? t2 − t 4 t2 4 − t 4 t2 − t 4 − t t2
A movie theater charges $11 for each adult and $6 for each ticket. one day, they sold 163 tickets and made $1578. How many of each ticket did they sell?
Which polynomial is written in ascending order? t2 − t 4 t2 4 − t 4 t2 − t 4 − t t2
What good item is rich source of protein?
What stradegy is 4x7x25?
Which element is classified as a inner transition element?
A runner went from 6 m/s to 2 m/s in 2 seconds, what was the acceleration?
Which of these is a hypothesis?salmon are kept in their natural habitat and treated with fungicides whenever infected.the yield of salmon is 2,000 kilograms in