An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adu
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Answer:
Step-by-step explanation:
In order to solve this it is always a good idea to start by drawing a diagram of the situation (See attached picture).
From the diagram we can see that we are dealing with similar triangles. We can use similar triangles to build an equation that relates the length of the shadow with the height of the lamp, so we get:
the height of the lamp can be found by subtracting the distance the lamp falls in a given time t from the original 30ft the lamp was located at.
So the equation will now lok like this:
So now we can solve the equation for L, we can start by multiplying by the LCD SO WE GET:
next, we can distribute the right side of the equation so we get:
and subtract 6L from both sides so we get:
and factor L, so we get:
and solve for L:
now, we can differentiate this equation by using the chain rule, so we get:
which can be simplified to:
and now we can substitute t for 1s so we get:
At the beginning, you begin with one whole that's been split into 25 pieces, or 25ths. Before you cover any of them up, you still have all 25, so you have 25 25ths, or, as a fraction, 
. Next, you take away 3 of those 25ths, or 
, which leaves you with 
, or 
.