Students from four classes are in talent show.

a. there are 28 students in ms. fiona’s class. the ratio of her student who are in the talent show to those who are not in the talent show is 2: 5.

how many of ms. fiona's students are in the talent show?

b. mr. juan has 24 students in his class. some of his students are also in the talent show.

explain why it is not possible for exactly 24% of the students in mr. juan’s class to be in the talent show.

A. 8 students

B. Because 24% of 24 is 5.76

Step-by-step explanation:

A:  The ratio of students is 2:5, that means for every 7 students from her class, 2 of them are in the show.  

   28/7 is 4, so there are 2(4) = 8 students in the talent show.

B:  24(24%) = 24(0.24) = 5.76.  The question says 'exactly' 24%.  We can't have 0.76 of a person, so we can't have 'exactly' 24%  

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

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