contestada

When g is 4, h is 1/2 and j is 1/3. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?

Respuesta :

G[tex] \alpha [/tex]HJ
G=kHJ
where k is a constant of proportionality;
when G=4, H=1/2 and J=1/3
Finding value of k,
4=k*1/2*1/3
4=[tex] \frac{1}{6} [/tex]k
k=24
The equation then is;
G=24HJ
When H=2, J=3
G=24*3*2
G=144

Answer:

The value of g is  144 when h is 2 and j is 3 .

Step-by-step explanation:

As given

[tex]When\ g\ is\ 4, h\ is\ \frac{1}{2}\ and\ j\ is\ \frac{1}{3} .[/tex]

If g varies jointly with h and j.

[tex]g \propto hj[/tex]

g = khj

Where k is the constant of proportionality.

[tex]When\ g\ is\ 4, h\ is\ \frac{1}{2}\ and\ j\ is\ \frac{1}{3} .[/tex]

Put value in the above

[tex]4 = \frac{k}{2\times 3}[/tex]

[tex]4 = \frac{k}{6}[/tex]

k = 4 × 6

k = 24

As when  h = 2 , j = 3 and k = 24 .

Put in the above

g = 2 × 3 × 24

g = 144

Therefore the value of g is 144 when h is 2 and j is 3 .