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Sav [38]
3 years ago
15

five years ago a man was seven times as old as his son. five years hence the gather would be three times as old as his son. find

their present ages
Mathematics
1 answer:
babymother [125]3 years ago
5 0
Father = x
son = y
x-5 = 7(y-5)
x +5 = 3(y+5) solve the system

x-5 = 7y-35
x+5 = 3y +15

x-5 = 7y-35
-x-5 = -3y -15
-10 = 4y -50
+50 +50
40 = 4y
10 = y

Solve for X
x+5 = 3(10) + 15
x+5 = 45
x = 40

The father is 40yrs old and the son is 10yrs old.
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How many possible committees of 4 people can be chosen from 15 men and 20 women so that at least two women should be on each com
Mnenie [13.5K]

<span>If there has to be 2 men and 2 women, we know that we must take a group of 2 men out of the group of 15 men and a group of 2 women out of the group of 20 women. Therefore, we have:

(15 choose 2) x (20 choose 2)


(15 choose 2) = 105

(20 choose 2) = 190

190*105 = 19950

Therefore, there are 19950 ways to have a group of 4 with 2 men and 2women.</span>

 

<span>If there has to be 1 man and 3 women, we know that we must take a group of 1 man out of the group of 15 men and a group of 3 women out of the group of 20 women. Therefore, we have:

(15 choose 1) x (20 choose 3)


(15 choose 1) = 15

(20 choose 3) = 1140

15*1140 = 17100

Therefore, there are 17100 ways to have a group of 4 with 3 women and 1 man.</span>

 

<span>We now find the total outcomes of having a group with 4 women.

We know this is the same as saying (20 choose 4) = 4845</span>

Therefore, there are 4845 ways to have a group of 4 with 4 women.

 

We now add the outcomes of 2 women, 3 women, and 4 women and get the total ways that a committee can have at least 2 women.

 

19950 + 17100 + 4845 = 41895 ways that there will be at least 2 women in the committee


5 0
3 years ago
Help me on this please thank you
den301095 [7]
Answer:

Angela is correct. Ricardo made a mistake which was that he probably got confused and did four times three plus two instead of four plus three times two.
6 0
3 years ago
Read 2 more answers
Hamid has gained weight.
Advocard [28]
Is  = %
of     100

So 
 
88 = 110
 x      100

Cross multiply 

8800 = 110x
Divide both sides by 110

x= 80 kg
5 0
3 years ago
Read 2 more answers
I think the answer is A. &lt;7 and &lt;15. Am I right?
klio [65]

Answer:

yes u are right on the answer

8 0
3 years ago
Read 2 more answers
Number 41 please <br> I need it
olga nikolaevna [1]

Answer:

A. 20, 10 and 5

Step-by-step explanation:

Because 5 x 2 = 10, 10 x 2 = 20, 20 + 10 + 5 = 35.

3 0
3 years ago
Read 2 more answers
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