Answer: 25 + 15x ≤ 150
Step-by-step explanation: For this problem we will write an inequality to represent this situation.
Let x equal each additional day.
25 + 15x ≤ 150
The inequality above states that the dog owner will spend $25 for the first day and then for each additional day the dog owner will spend $15, but is budget is no more than $150 that the dog owner can spend.
 
        
                    
             
        
        
        
Answer:
The dimension of the rug would be 17 ft × 9 ft.
Step-by-step explanation:
Given 
length of the room = 27 ft.
width of the room = 19 ft.
suppose, she leaves a uniform strip of x ft. around the rug.
So, 
The length of rug = (27-2x)ft.
 Width of rug= (19-2x)ft.
∴ Area of the rug= length×width
                             
                             
                             
According to the question,

 ( subtract 153 both sides)
        ( subtract 153 both sides)



 ( Middle term splitting)
            ( Middle term splitting)



 or
 or  ( zero product property)
             ( zero product property)
 or
 or 
if x=18, dimension would be negative  ( Not possible)
Thus, x= 5
Hence, 
length of rug= 27-10=17 ft.
width of rug= 19-10=9 ft.
 
        
             
        
        
        
Answer:
a) 17, 29, 41, 53, 65....
b) 12n + 5
 
        
             
        
        
        
Start by converting 300 feet to miles and 2.92 seconds to hours.
300 feet      1 mile
----------- x -------------- = ?
     1           5280 feet
2.92 sec              1 hr
----------------- * ---------------- =  ?
        1               3600 sec
Reduce each of the above fractions.  Then convert  300 feet
                                                                                  -------------- to the 
                                                                                    2.92 sec
equivalent speed / rate in mph using the converstion factors you derived earlier.
        
             
        
        
        
The value of x must be 25.0. The correct option is the second option-  25.0
<h3>Solving Linear equations </h3>
From the question, we are to determine the value of x 
From the given diagram, we can write that 
m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>) 
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180° 
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms 
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0 
Hence, the value of x must be 25.0. The correct option is the second option-  25.0
Learn more Solving linear equations here: brainly.com/question/1413277
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