Question

Initially, a spinner points west. Chenille moves it clockwise 2 1/4 revolutions and then counterclockwise 3 3/4 revolutions. In what direction does the spinner point after two moves?

Answer 1

Answer: East

Step-by-step explanation:

Given

A spinner initially pointing towards west is made to move $2\frac{1}{4}$ revolutions clockwise and $3\frac{3}{4}$  revolutions counterclockwise.

After one complete revolution pointer points at the same direction.

So, the net movement of the spinner is

$\Rightarrow 3\dfrac{3}{4}-2\dfrac{1}{4}\\\\\Rightarrow \dfrac{15}{4}-\dfrac{9}{4}\\\\\Rightarrow \dfrac{15-9}{4}\\\\\Rightarrow \dfrac{6}{4}\ \text{or}\ 1\dfrac{2}{4}\ \text{CCW}$

That is 1 and half-revolution counter clockwise

After 1 revolution, direction is same, but after half revolution it points towards east.

The final direction is east.