Answer is: 60x=240
240/60=40
3 casseroles feeds 15 people
The ratio is 3:15
If you divide each of those by 3, youll find that 1 casserole feeds 5 people
1 : 5 is the ratio.
Divide 30 by 5 = 6
6 casseroles feeds 30 people.
6 : 30
35 divided by 5 = 7
7 casseroles feed 35 people
7 : 35
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You have
y as an implicit function of
x:
sin(xy) – x = 0Use implicit differentiation. As
y is a function of
x, then you must apply the chain rule there:
d d—— [ sin(xy) – x ] = —— (0) dx dx d d d—— [ sin(xy) ] – —— (x) = —— (0) dx dx dx d—— [ sin(xy) ] – 1 = 0 dx d—— [ sin(xy) ] = 1 dx dcos(xy) · —— (xy) = 1 dxNow, apply the product rule for that last derivative:
dyIsolate
—— :
dx dyx cos(xy) · —— = 1 – y cos(xy) dxAssuming
x cos(xy) ≠ 0,
dy 1 – y cos(xy)—— = ———————— <——— this is the answer.
dx x cos (xy)I hope this helps. =)
<span>-5x+2y=10
They both have the same slopes:)
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