Answer:
24 video games
Step-by-step explanation:
Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.
We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54
To find the number of video-games that will cost same for both options, we will equate both expressions as:
4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54
Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
        
             
        
        
        
Answer:
(a) 1.5 inches 
(b) 2.5 inches 
(c) 5 inches
Step-by-step explanation:
speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute 
speed of the second turtle = 5inches per minute
distance = speed x time 
(a) Distance traveled by first turtle in 3 minutes 
 s = 9/2 x 3 = 13.5 inches 
distance traveled by second turtle in 3 minutes 
s' = 5 x 3 = 15 inches 
So, the gap is 
s'- s = 15 - 13.5 = 1.5 inches 
(b) Distance traveled by first turtle in 5 minutes 
 s = 9/2 x 5 = 22.5 inches 
distance traveled by second turtle in 5 minutes 
s' = 5 x 5 = 25 inches 
So, the gap is 
s'- s = 25 - 22.5 = 2.5 inches 
(c) Distance traveled by first turtle in 10 minutes 
 s = 9/2 x 10 = 45 inches 
distance traveled by second turtle in 10 minutes 
s' = 5 x 10 = 50 inches 
So, the gap is 
s'- s = 50 - 45 = 5 inches 
 
        
             
        
        
        
Y = 3 will be a straight, horizontal line on 3. It will only touch the y-axis since there's no x. So, the X-Intercept doesn't exist, the Y-Intercept will be (0,3), and the slope of the line is 0.
        
             
        
        
        
Answer:
4:1
Step-by-step explanation: