Which algebraic expression shows the average melting points of helium, hydrogen, and neon if [tex]h[/tex] represents the melting point of helium, [tex]j[/tex] represents the melting point of hydrogen, and [tex]k[/tex] represents the melting point of neon?

A. [tex]h + j + k[/tex]
B. [tex]h \cdot j \cdot k[/tex]
C. [tex]\frac{h + j + k}{3}[/tex]
D. [tex]\frac{h}{3}[/tex]



Answer :

To find the average melting point of helium, hydrogen, and neon, we need to follow these steps:

1. Identify the variables:
- Let [tex]\( h \)[/tex] represent the melting point of helium.
- Let [tex]\( j \)[/tex] represent the melting point of hydrogen.
- Let [tex]\( k \)[/tex] represent the melting point of neon.

2. Sum the melting points:
- Add the melting points of helium, hydrogen, and neon together: [tex]\( h + j + k \)[/tex].

3. Calculate the average:
- The average (arithmetic mean) is found by dividing the sum of the values by the number of values. In this case, we have three elements, so we divide by 3:
[tex]\[ \text{Average} = \frac{h + j + k}{3} \][/tex]

Thus, the algebraic expression that correctly describes the average melting point of helium, hydrogen, and neon is:
[tex]\[ \frac{h + j + k}{3} \][/tex]

Hence, the correct answer is:

[tex]\[ \boxed{\frac{h+j+k}{3}} \][/tex]

So the correct option from the given choices is:
- C. [tex]\(\frac{h+j+k}{3}\)[/tex].