389 children and 224 adults were at the pool that day.
Step-by-step explanation:
Cost of one child ticket = $1.75
Cost of one adult ticket = $2.25
Total people = 613
Total receipts worth = $1184.75
Let,
Number of children = x
Number of adults = y
According to given statement;
x+y=613 Eqn 1
1.75x+2.25y=1184.75 Eqn 2
Multiplying Eqn 1 by 1.75

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 0.50

Putting y=224 in Eqn 1

389 children and 224 adults were at the pool that day.
Keywords: linear equation, subtraction
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Answer:
The standard form of the equation for the conic section represented by
is:

Step-by-step explanation:
We know that:
is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.
Given the equation

Rewriting the equation in the standard form

Thus,
The vertex (h, k) = (-5, 12)
Please also check the attached graph.
Therefore, the standard form of the equation for the conic section represented by
is:

where
vertex (h, k) = (-5, 12)
Answer:
Step-by-step explanation:
Solution
Here,
h²=p²+b²
or,15²=x²+7²
or,225=x²+49
or,x²=225-49
or,x²=176
x=13.266
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