1) which of the following shows the correct steps to find the value of 27 1/3?

a) 27 1/3=(9^3)1/3=(9)^3(1/3)=9
b) 27 1/3=(3^9)^1/3=(3)^9(1/3)=3
c) 27 1/3=(3^4)1/2=(3)^4(1/2)=9
d) 27 1/3=(3^3)^1/3=(3)^3(1/3)=3

(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

Jessie and bob are financing $425,500 to purchase a house. they obtained a 30/8 balloon mortgage at 6.55%. what will their balloon payment be?

Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.