Mary has rehearsed her ballet solo for five and a half hours. a week from now, she wants to have rehearsed at least a total of nineteen and a half hours. if she rehearses for the same amount of time each day for the next 7 days, at least how many hours must she rehearse per day?

2 hours per day

Step-by-step explanation:

Given : Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of nineteen and a half hours.

To Find : If she rehearses for the same amount of time each day for the next 7 days, at least how many hours must she rehearse per day?

Solution :

Mary has rehearsed her ballet solo =

She wants to have rehearsed at least a total of

So, hours left for rehearsel = 19.5-5.5= 14 hours

If she rehearses for the same amount of time each day for the next 7 days

So, she rehearsed each day = 14/7 = 2 hours

Hence  she must rehearse for 2 hours per day

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: