The answer is: <span><span>√63</span>=<span>√<span><span>32</span>⋅7</span></span>=<span>√<span>32</span></span>⋅<span>√7</span>=3<span>√7</span></span><span>.</span>
If y varies inversely as x, then we write it as:
y = k/x
where k is some constant.
If we multiply both sides of this equation by x we get an equation for k:
k = x*y
We are given that y=4 when x=7, therefore:
k = 7*4 = 28
Put this back into our original equation to get:
y = 28/x
you need to change 1 3/8 into a mixed fraction, which would be 11/8, but with this fraction, you need to do the reciprocal, which would be 8/11 multiplied by 3/4. You can cross simplify 8 and 4 changing the fractions being multiplied to 2/11 and 3/1. Then you need to multiply straight across, which would get an answer of 6/11.