NO FAKE ANSWERS
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. C. The rest of the students in the talent show are from Mrs. Lee’s class and Mr. Greg’s class. Mrs. Lee has 23 students in her class, and 7 of them are in the talent show. There are 4 more students from Mr. Greg’s class than from Mr. Juan’s class in the talent show. The number of students in the talent show from Mrs. Lee’s class is greater than the number from Mr. Juan’s class and fewer than the number from Mr. Greg’s class. In all, 30% of the students in these three classes are in the talent show. Show or explain why there must be exactly 23 students in Mr. Greg’s class. As part of the explanation, determine how many students from Mr. Greg’s class are in the talent show.
Answers
(x^3 + 6x^2) / (80x + 64)
last option
step-by-step explanation:
top:
1/8 + (x+4)/(16)
= 2/16 + (x+4)/(16)
=(2+x+4)/16
=(x + 6)/16
bottom:
(x+4)/x^2 + 4/x
= (x+4)/x^2 + 4x/x^2
=(x + 4 + 4x)/x^2
= (5x+4) / x^2
so now you have:
(x + 6)/16 / (5x+4) / x^2
= (x + 6)/16 * x^2 / (5x+4)
= (x^3 + 6x^2) / (80x + 64)
answer is the last one
Answer:
A
Total students in Ms Fiona's class = 28
Ratio given (Students taken part : Not taken part) = 2:5
Let them be = 2x, 5x
2x + 5x = 28
x = 4
Thus, students who have taken part = 2x = 8
B
Total students in Mr Juan's class = 24
24% of total students = 24% of 24
= 24/100 × 24 = 144/25
Since 24% of total students, isn't a whole number, therefore, 24% of students can't take part in the talent show.
C
Total students in Mrs Lee's class = 23
Students in talent show = 7
Students in talent show from Mr Greg's class = Students from Mr Juan's class + 4
Students in talent show from Mrs Lee's class > Students from Mr Juan's class, < Students from Mr Greg's class
30% of students are in talent show.
Thus, 30%(24 + 23 + Students from Greg's class) = 7 + 2(Students from Juan's class) + 4
=> 30/100(24 + 23 + Students from Mr Greg's class) = 11 + 2(students from Juan's class)
Since 23 satisfies this equation, thus, there are 23 Students in Mr Greg's class
Students in talent show from Mr Juan's class = 10
Students in talent show from Mr Greg's class = 14
Hope it Helps!!