Clare follows the same workout cycle each time she goes to the gym. First, she runs for 1 3 of an hour. Then, she lifts weights for 1 6 of an hour. If Clare has 1 1 2 hours to spend at the gym, how many times can she go through her workout cycle?

3 times

Step-by-step explanation:

She has 1 1/2 hour to spend in the gym.

1 hr = 60 minute

1/2 of an hour

= 1/2 * 60

= 30 minutes.

In total, she spends 90 minutes in the gym.

If 1/3 of an hour is meant in running, it translates into;

1/3 * 60 = 20 minutes

If 1/6 of an hour is spent in weight-lifting, it translates into;

1/6 * 60 = 10 minutes

In total, she spends,

20 minutes + 10 minutes = 30 minutes for both activities.

To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.

=  90 minutes/30 minutes

= 3 times for each cycle.

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation: