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kondor19780726 [428]
3 years ago
11

A resort hotel has 220 guests. On one​ day, 5 groups of 16 guests leave to shop and groups of 9 guests go sightseeing. Evaluate

220 - (5x16) -(2x9) to find the number of guests that are left at the hotel.
Mathematics
1 answer:
8090 [49]3 years ago
8 0
220-(2x12)-(5x6)
220-24-30
196-30
166 people are left on the ship.
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The number of horses occupying stalls at the county fairgrounds can be modeled by the following function, where x represents the
Elenna [48]
Answer:  
_______________________________________________________
The rewritten equation is: 
 

       " - 3x² + 30 + 225 = 0 " ; 

which is ultimately simplified to:

        " x² − 10 − 75  = 0 " .
___________________________________________________
The number of days is:  "15 days" . 
___________________________________________________<span>

Explanation:
______________________________________________
Given:

    h(x) = - 3x</span>² <span>+ 30 + 225  ;  

Rewrite as:  "  </span>- 3x² + 30 + 225 = 0 " ; 
__________________________________________________________
Multiply EACH SIDE of the equation by "-1" ; to get rid of the "-3" ; 

  -1 * {- 3x² + 30 + 225 = 0} ; 

to get:  " 3x² − 30 <span>− 225 = 0" ; 

Divide EACH SIDE of the equation by "3" ; to simplify; since:

"3", "30", and "225" are divisible by "3" ; 

{</span>3x² − 30 − 225} / 3 = 0 / 3 ; 

 to get: 
______________________________________
 " x² − 10 − 75  = 0 " ; 
 
______________________________________
 Let us factor:

-15 + 5 = -10 ; 

-15 * 5 = -75 ; 
_______________________________________
Rewrite as:

(x − 15) (x + 5) =  0 ;

x = 15;  and x = -5 ; 
_______________________________________
The number of days cannot be "negative value";  so we stick with:

"x = 15 days" 
___________________________________________________
Answer:  The rewritten equation is:  

       " - 3x² + 30 + 225 = 0 " ; 

which is ultimately simplified to:

        " x² − 10 − 75  = 0 " .
___________________________________________________
The number of days is:  "15 days" . 
___________________________________________________
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Step-by-step explanation:

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Answer:

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