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

Emma has evaluated her skills and determined that she has many strengths, but power is her least-developed skill. She is signing up for a sport, but she wants t
Li made a scale drawing of a room. The scale used was 5cm=1m.The scale drawing is the preimage and the room is the dilated image. - What is the scale in terms
If tom and jeff work together to produce hats and shoes, if they produce 12 pairs of shoes, what is the maximum number of hats they can make?
How does embryology show how species are related?
U.s. companies that operate abroad, particularly those who contract with foreign companies, are now ________ human rights and environmental standards followed b
A _______ is the figurative place where a person locates the source of responsibility in his or her life. A. Metabolic syndrome B. Cardio decline C.
An experiment is set up to measure the effect of a gasoline additive on fuel consumption rate (miles per gallon, or MPG). What would be the control in this exp
How do I find the rectangular prism
NEED HELP NOW 100 POINTS!!!!!!
At what point do the graphs of the equation 9x-2y=30 and x+2y=10 intersect?