Find The Value Of X If The Arithnetic Mean Of 3 And 3x + 5 Is 8?

Find the value of x if the arithnetic mean of 3 and 3x + 5 is 8?

 

Answer:

x = 8/3  or  2 ²/₃

Step-by-step explanation:

Arithmetic Mean = (a₁ + an)/2

Given:

a₁:  3

an: (3x+5)

Mean: 8

Find the value of x:

8 = (3)+(3x+5)/2

8(2) = 3 + 3x + 5

3x = 16 -(3+5)

3x = 16-8

3x/3 = 8/3

x = 8/3  or  2 ²/₃

Check:

8 = 3 + (3)(8/3)+5/2

8 = 3 + 8 + 5)/2

8 = (16)/2

8 = 8  (True)


Comments

Post a Comment

Popular posts from this blog

Ano Nga Ba Ang Solar System

Ano nga ba Ang solar system   Answer: The Solar Systema is the gravitationally bound planetary system of the Sun and the objects that orbit it, either directly or indirectly.b Of the objects that orbit the Sun directly, the largest are the eight planets,c with the remainder being smaller objects, such as the five dwarf planets and small Solar System bodies. Of the objects that orbit the Sun indirectly—the moons—two are larger than the smallest planet, Mercury.d The Solar System formed 4.6 billion years ago from the gravitational collapse of a giant interstellar molecular cloud. The vast majority of the systems mass is in the Sun, with the majority of the remaining mass contained in Jupiter. The four smaller inner planets, Mercury, Venus, Earth and Mars, are terrestrial planets, being primarily composed of rock and metal. The four outer planets are giant planets, being substantially more massive than the terrestrials. The two largest, Jupiter and Saturn, are gas giants, being co
Read more