Which values of p and q result in an equation with no soultions? 83x+p=83x+q

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.

Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . what’s the place of this number?

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74