Decide what conclusion, if any, can be reached from the given hypotheses and justify your answer.
all avengers are superheroes. storm is an avenger.
all avengers are superheroes. captain marvel is a superhero.
all superheroes have an alter-ego or are mutants. x-men are superheroes. x-men do not have alter-egos.
some superheroes are mutants. all mutant superheroes are x-men.
some superheroes have an alter-ego. some superheroes are mutants. guardians of the galaxy are superheroes.
some superheroes are strong and can shrink. all superheroes that can shrink are snarky. every superhero that is snarky has problems.

Jordan rides his bike 6 7/15 miles every day to deliver newspapers and to go to and from school. if his ride to and from school is 4 3/10 miles, how many miles is the trip to deliver newspapers? 1 1/3 1 1/6 2 1/6 2 4/5

Which of these equations, when solved, gives a different value of x than the other three? a9.1 = -0.2x + 10 b10 = 9.1 + 0.2x c10 – 0.2x = 9.1 d9.1 – 10 = 0.2x

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.