Answer: 10.3 would be a mixed number
Step-by-step explanation:
Divide 12 into 46. You get 3 with a remainder of 10. 3 is the whole number of the mixed number, 10 is the numerator of the fraction, and 12 is the denominator. The fraction can be reduced to 5/6.
It looks like the differential equation is

Check for exactness:

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

*is* exact. If this modified DE is exact, then

We have

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

The modified DE,

is now exact:

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

Integrate both sides of the first condition with respect to <em>x</em> :

Differentiate both sides of this with respect to <em>y</em> :

Then the general solution to the DE is

Adults = x
Senior Citizens = y
x + y = 529......1
25x + 15y = 9745...2
Multiply (1) by 15
15x + 15y = 7935....3
25x + 15y = 9745....2
Subtract 3 from 2
10x = 1810
x = 181
Substitute x = 181 in
Eq (1)
x + y = 529
181 + y = 529
y = 529 - 181
y = 348
181 adults and 348 Senior Citizens
Hope this helps.
Distance = final height - depthOFdolphin
Distance = 2.4 - (-5.5)
Distance = 2.4 + 5.5
Distance = 7.9 meters