An inequality is given. √a < √50 < √b The variables a and b are consecutive perfect squares. What are the values of a and b?

Given:

The inequality is

        ...(i)

The variables a and b are consecutive perfect squares.

To find:

The values of a and b.

Solution:

We know that, perfect square of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...

Clearly, 50 lines between two consecutive perfect square 49 and 64.

       ...(ii)

On comparing (i) and (ii), we get

Therefore, the values of a and b are 49 and 64 respectively.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)