Answer:
We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.
1) 30 = k*(15/4)
To solve this, we can just multiply by (4/15) in both sides, so we get:
30*(4/15) = k*(15/4)*(4/15)
(30/15)*4 = k
2*4 = k
8 = k
2) 360 = k*√36
Here you need to remember that:
6*6 = 36
then √36 = 6
We could just replace that in the equation:
360 = k*6
now let's divide both sides by 6.
360/6 = k*6/6
60 = k
3) 64 = k*(4²)*(2²)
Here we need to remember that:
4² = 16
2² = 4
We can replace these in the equation to get:
64 = k*16*4
and 4*16 = 64
then:
64 = k*64
Now let's divide both sides by 64.
64/64 = k*64/64
1 = k
4) 100 = k*(25)*(4)
Here we know that 4*25 = 100
So replacing that in the equation we get a similar expression to the above one.
100 = k*100
Now let's divide both sides by 100
100/100 = k*100/100
1 = k
5) 6 = k*3
Here just divide both sides by 3.
6/3 = k*3/3
2 = k