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Gre4nikov [31]
3 years ago
8

A mathematician decided to throw a party.When all the guests arrived, she joined the party with her husband. Including the mathe

matician and her husband,there were five couples,making the total number of people in attendance 10. After several minutes of mingling and introductions the mathematician asked each of the nine others in attendance how many people they shook hands with. Each person gave her a different answer from 0 to8. If couples did not shake hands with each other, how many people did the mathematician's husband shake hands with?
Mathematics
1 answer:
joja [24]3 years ago
8 0
All of them, he didn't meet himself and his wife. Think of the rule of Gaos
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when a jug is 1/5 full and it weighs 250 grams next it 4/5 full and weighs 550 grams what is the weight of the jug?
AleksAgata [21]
X=weight of the jug
y=witht of liquid when the jug is full
we suggest this system of equations:
x+y/5=250
x+4y/5=550
we solve this system of equations by equalization method. 
x=250-y/5
x=550-4y/5
250-y/5=550-4y/5
least common multiple=5
1250-y=2750-4y
-y+4y=2750-1250
3y=1500
y=1500/3
y=500 

x=250-y/5
x=250-500/5
x=250-100
x=150

Answer: weight of the jug = 150grams. 
7 0
3 years ago
Read 2 more answers
Which are true and which are false? 2+5=8-1. 4+2=9-1. 13-0=12+1
stiks02 [169]

Hi there,

I believe there are 3 questions.

  1. 2+5=8-1 It is true because 2+5 is 7 and 8-1 is 7. So, both sides have same value which means they are equal.
  2. 4+2=9-1 It is false because 4+2 is 6 and 9-1 is 8. So, the values are different.
  3. 13-0=12+1 It is true because 13-0 is 13 and 12+1 is 13. Both values are same. Therefore, they are equal.

Hope it helps :-)

4 0
3 years ago
Factor 20x2+25x-12x-15 by grouping
Hunter-Best [27]

Answer:

385-13x

Step-by-step explanation:

that is my answer

5 0
3 years ago
Which is a solution to (x – 3)(x + 9) = –27?<br><br> x = –9<br> x = –3<br> x = 0<br> x = 6
likoan [24]

Answer:

x = 0

Step-by-step explanation:

Since the product is not equal zero, we need to multiply both parenthesis first:

(x-3)(x+9) =-27

x*x+x*9+(-3)*x+(-3)*9=27

x^2+9x-3x-27=27

x^2+6x-27=27

Add 27 from both sides:

x^2+6x-27+27=-27+27

x^2-6x=0

Factor x out:

x(x+6)=0

Apply the zero product:

x=0,x+6=0

x=0,x=-6

The solutions of the equation are x=0 and x=-6.

We can conclude that the correct answer is x = 0.

7 0
3 years ago
Need help, ​please confusing
Alex73 [517]
The square root of 3.3 is 1.81
6 0
3 years ago
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