Ben races his younger sister Ellie. He gives her a 20 foot head start. She runs at 5 feet per second. Ben runs at 8 feet per second. Write an inequality that represents the time in seconds at which Ellie will be ahead of Ben.

70 points ! pls 2. given the following two sets of data what is the union of the two sets and what is the intersection of the two sets. set a = {1, 2, 3, 4, 5, 6, 7, 8, 9} set b = {2, 4, 6, 8, 10, 12, 14} 3. given a regular deck of cards. describe a way of pulling cards that would create a dependent event and then one that would create an independent event. 4. what is the probability of drawing a red card and then drawing a spade without replacing the card that was drawn first?

Sandy is upgrading her internet service. fast internet charges $20 for installation and $52.45 per month. quick internet has free installation but charges $57.45 per month. part 1 out of 2 complete the equation that can be used to find the number of months after which the internet service would cost the same. use the variable x to represent the number of months of internet service purchased.

Below are two different functions, f(x) and g(x). what can be determined about their slopes? f(x)= −1x + 1 the function g(x) going through 0, 3 and 1, 1