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boyakko [2]
3 years ago
5

1 point

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

Step-by-step explanation:

I think the question is  card(A)=20,card(B)=15,card(A∩B)=10, then what iscard(A∪B)  

You can solve this question by drawing a picture like this to visualize the problem.

Thus the answer is  card(A∪B)=card(A)+card(B)−card(A∩B)=25

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The sum of the ages of Kristen and Ben is 32. Four years ago Kristen was twice as old as Ben. How old are they both now?
Elan Coil [88]

Let us say that:

K = age of Kristen

B = age of Ben

 

From the problem, we make the equations:

eqtn 1: K + B = 32

eqtn 2: (K – 4) = 2 (B – 4)

 

Simplifying eqtn 2:

K – 4 = 2 B – 8

K = 2 B – 4

 

Plugging in this to eqtn 2:

(2 B – 4) + B = 32

3 B – 4 = 32

3 B = 36

B = 12

 

From eqtn 2:

K = 2 B – 4 = 2 (12) – 4 = 20

 

So Kristen is 20 while Ben is 12.

5 0
3 years ago
6/7 plus 4/5 times 4/5
Art [367]

Answer:

1.49714285714

Step-by-step explanation:

6/7+4/5*4/5

=6/7+0.64

=1.49714285714

8 0
3 years ago
Without graphing, is the system independent, dependent, inconsistent? {12x=3y=12 y=-4x+5
Alla [95]
Okay so you out them into the form of y=mx+b. since equation 2 is already like that you need to do it to equation 1. which is y=-4x+4. graph both equations. if it has a solution (1 point where the two lines meet) it is consistantly and independent. if they are parallel lines and the solution is 0 the system is inconsistent and the lines are dependent. if it's the same line they are consistent and dependent. the line is not the same since the y intercept is different. the slope is the same though which tells us its parallel. so the system has a solution of 0 and is inconsistent and the lines are independent.
7 0
3 years ago
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torisob [31]

Answer:

uhh.... you are missing some part of your question

Step-by-step explanation:

6 0
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UNO [17]

Answer: it’s C. Y=3x-5

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3 years ago
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