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skelet666 [1.2K]
3 years ago
13

At a state park, 3 children and 5 adults paid a total of $48 for their entrance fees, whereas 4 children and 2 adults paid a tot

al of $22. What is the entrance fee for 1 child? Please help me
Mathematics
2 answers:
Sonbull [250]3 years ago
5 0
The children is $6 and the adults is $10 <3
Arada [10]3 years ago
3 0
The kids are $6 and the adults are $10
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stealth61 [152]

Answer:

x = 11, -1

Step-by-step explanation:

First, let's identify what the quadratic formula is:

x = [-b ± √(b² - 4(a)(c))] / 2

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ax² + bx + c = 0

x² - 10x - 11 = 0

Let's plug in what we know.

x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2

Evaluate the exponent.

x = [-(-10) ± √(100 - 4(1)(-11))] / 2

Simplify the negatives.

x = [10 ± √(100 - 4(1)(-11))] / 2

Multiply.

x = [10 ± √(100 + 44)] / 2

Simplify the parentheses.

x = [10 ± √(144)] / 2

Simplify the radical (√)

x = [10 ± 12] / 2

Evaluate the ±.

x = [10 + 12] / 2

x = [22] / 2

x = 11

or

x = [10 - 12] / 2

x = [-2] / 2

x = -1

Your answers are x = 11, -1

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Step-by-step explanation:

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