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Gnom [1K]
3 years ago
6

Of 120 hotel rooms rented one night, some were suites rented for $115 each and the rest were double rooms rented for $85 each. i

f the total revenue from the room rentals for this night was $10,890, how many suites were rented? 23 35 54 94 99
Mathematics
1 answer:
sveta [45]3 years ago
7 0

The answer is 23 suites.

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Answer:

<em>Factored Form: </em><em> </em><em>( y - 2 )( 3y + 7 )</em>

Step-by-step explanation:

<em>1. Let us first write down the problem at hand: </em>3y^2 + y - 14

<em>2. Now let us break this expression into groups:  </em>

3y^2 - 6y + 7y - 14  ⇒ ( 3y^2 - 6y )( 7y - 14 )

<em>3. Factor 3y from 3y^2 - 6y:</em>

3y^2 - 6y ⇒ 3y( y - 2 )

<em>4. Factor 7 from 7y - 14:</em>

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<em>5. Substitute Step #3, 4 ⇒ Step #2:</em>

3y( y - 2 ) + 7( y - 2 )

<em>6. Factor common term y - 2:</em>

<em>Answer: ( y - 2 )( 3y + 7 )</em>

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