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Zinaida [17]
3 years ago
15

Sadie is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.50. Sadie spent $28.50 altogeth

er at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sadie played and the number of rides Sadie went on.
Mathematics
2 answers:
olchik [2.2K]3 years ago
3 0

Answer:

Aria played 2 games and went on 7 rides.

Step-by-step explanation:

kakasveta [241]3 years ago
3 0

Answer:

She played 4 games and went on 7 rides.

Step-by-step explanation:

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SCORPION-xisa [38]

Answer:

The solutions are x=-3,\:x=3

Step-by-step explanation:

To factor this cubic polynomial x^3+3x^2-9x-27 you must:

  • Group the polynomial into two sections

x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)

  • Factor out -9 from (-9x-27)

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  • Factor out x^2 from (x^3+3x^2)

(x^3+3x^2)=x^2\left(x+3\right)

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  • Factor out common term x+3

-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)

x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)

  • Factor x^2-9

x^2-9=\left(x+3\right)\left(x-3\right)

x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)

x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0

  • Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}

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x=-3,\:x=3

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