f.2 math問題

2010-12-31 4:34 am
1.fatorize 2(m-n)²-m+n.

2.A school has altogether 1260 students and teachers. The ratio of the number of teachers to that of the students is 1:8, and the number of male students to that of the female students is 4:3.
(a)Find the ratio of the number of teachers to the number of female students.
(b)Find the number of male students in the school.

回答 (1)

2010-12-31 4:52 am
✔ 最佳答案
1. 2(m-n)^2 - m+n
= 2(m-n)^2 - (m-n)
= (m-n)[2(m-n) - 1]
= (m-n)(2m - 2n - 1)

2.(a) Let x be the no. of teachers, then the no. of students is 8x.
The no. of female students = 3/7 * 8x = 24x / 7
The ratio of no. of teachers to the no. of female students
= x : 24x/7
= x/(24x/7)
= 7/24
(b) The no. of students
= 1260 * 8/9
= 1120
The no. of male students
= 1120 * 4/7
= 640

2010-12-30 20:52:29 補充:
Ans of (a) should be 7:24
參考: Knowledge is power.


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