Question

Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine which statement is true a (a) student needs to take a 6 dance class to learn the routine) (b) student needs to take five dance classes to learn this routine see a student needs to take 9 dance classes to learn the routine) or (d) a student needs to take 10 dance classes to learn the routine)

Answer 1

7 1/2 divided by 3.4 = 10. 
The student will need 10 dance classes to learn the routine. Hope it helps! :)

Answer 2

Answer:  The correct option is (d) a student needs to take 10 dance classes to learn the routine.

Step-by-step explanation:  Given that each dance class is $\dfrac{3}{4}$ hour and a student takes $7\dfrac{1}{2}$ hours to learn a dance routine.

We are to select the TRUE statement.

Duration of each dance class is given by

$t_d=\dfrac{3}{4}~\textup{hours},$

and the time taken by a student to learn a dance routine is given by

$t_s=7\dfrac{1}{2}=\dfrac{15}{2}~\textup{hours}.$

Therefore, the number of dance class that a students needs to learn the dance routine will be

$n=\dfrac{t_s}{t_d}=\dfrac{\frac{15}{2}}{\frac{3}{4}}=\dfrac{15}{2}\times\dfrac{4}{3}=10.$

Thus, a student needs 10 dance classes to learn the dance routine.

Option (d) is CORRECT.