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请教达人数学题目~~加急~~非常感谢

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楼主
发表于 2011-3-31 16:39:18 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?



A. 20

B. 40

C. 50

D. 80

E. 120
选择:D
2。
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October.  The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped.  In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?



A. 0.40x

B. 1.20x

C. 1.40x

D. 1.60x

E. 3.20x 选择:C


A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October.  The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped.  In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?



A. 0.40x

B. 1.20x

C. 1.40x

D. 1.60x

E. 3.20x 选择:C

If the average (arithmetic mean) of x, y, and 20 is 10 greater than the average of x, y, 20, and 30, what is the average of x and y?



A. 40

B. 45

C. 60

D. 75

E. 95 选择:E
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.  In how many ways can the company assign 3 employees to 2 different offices?



A. 5

B. 6

C. 7

D. 8

E. 9 选择:D
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.  If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?



A. 100p / (125 – p)

B. 150p / (250 – p)

C. 300p / (375 – p)

D. 400p / (500 – p)

E. 500p / (625 – p) 选择:D
Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C



Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C




Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.  If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?



A. 100p / (125 – p)

B. 150p / (250 – p)

C. 300p / (375 – p)

D. 400p / (500 – p)

E. 500p / (625 – p) 选择:D
Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C



Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C





A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.  In how many ways can the company assign 3 employees to 2 different offices?



A. 5

B. 6

C. 7

D. 8

E. 9 选择:D
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.  If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?



A. 100p / (125 – p)

B. 150p / (250 – p)

C. 300p / (375 – p)

D. 400p / (500 – p)

E. 500p / (625 – p) 选择:D
Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C



Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C




Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.  If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?



A. 100p / (125 – p)

B. 150p / (250 – p)

C. 300p / (375 – p)

D. 400p / (500 – p)

E. 500p / (625 – p) 选择:D
Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C



Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C




由于考试迫在眉睫,所以麻烦能够尽快给出解答。不胜感激!

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沙发
发表于 2011-3-31 19:51:44 | 只看该作者
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?



A. 20

B. 40

C. 50

D. 80

E. 120
选择:D

是。

C(2,10) - P(2,2)*C(1,5) = 120 - 40 = 80
板凳
发表于 2011-3-31 19:52:55 | 只看该作者
2。
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October.  The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped.  In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?



A. 0.40x

B. 1.20x

C. 1.40x

D. 1.60x

E. 3.20x 选择:C

I mean, Correct.

Equation:

(0.35 + 0.3 + 0.2 + ....+0.5)*X = 1.4X
地板
发表于 2011-3-31 19:54:22 | 只看该作者
If the average (arithmetic mean) of x, y, and 20 is 10 greater than the average of x, y, 20, and 30, what is the average of x and y?



A. 40

B. 45

C. 60

D. 75

E. 95 选择:E


Correct.

(X+Y+20)/3-10=(X+Y+20+30)/4

X+Y=190

(X+Y)/2=95
5#
发表于 2011-3-31 20:07:15 | 只看该作者
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.  In how many ways can the company assign 3 employees to 2 different offices?



A. 5

B. 6

C. 7

D. 8

E. 9 选择:D


P(1,2)*P(1,2)*P(1,2)=8
6#
发表于 2011-3-31 20:17:22 | 只看该作者
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.  If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?



A. 100p / (125 – p)

B. 150p / (250 – p)

C. 300p / (375 – p)

D. 400p / (500 – p)

E. 500p / (625 – p) 选择:D

Correct.

Cause:

Equation 1: p/100*(A+B)=A
Equation 2: A/(A+5/4*B)=r/100

Put in, get D
7#
发表于 2011-3-31 20:21:54 | 只看该作者
Enrollment in City College in 1980 was 83? percent of enrollment in 1990.  What was the percent increase in the college’s enrollment from 1980 to 1990?



A. 10%

B. 16?%

C. 20%

D. 25%

E. 183?%  选择:C

Correct.

Easy, (1-83?%)/83?%.
8#
 楼主| 发表于 2011-4-1 14:30:52 | 只看该作者
非常感谢,虽然有些还是没有看懂,但是有了做题的步骤,可以增加我对题目的理解。谢谢!
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