Alfie tossed a paper cup in the air 350 times and recorded whether it ​landed right side up, upside down, or on its side. ​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

a:30
b:48
c:54
d:60

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.

How many real-number solutions does the equation have? -4x^2 + 10x + 6 = 0 a. no solutions b. two solutions c. infinitely many solutions d. one solution

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)