You first divide 30 minutes by three to get how many problems she can do in 10 minutes. What you do to one side you do to the other side. So then, you should have 4 problems in 10 minute. Then, you multiply 10 by 10 and 4 by 10 to get 40 problems in 100 minutes.
Square-root of two multiplied by the cube-root of 2 =sqrt(2)*(2)^(1/3) =2^(1/2)*2^(1/3) =2^(1/2+1/3) multiplication rule of exponents =2^((3+2)/6) =2^(5/6) =(2^5)^(1/6).........sixth root of 2^5 =(32)^(1/6) ............sixth root of 32.
The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.