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SpyIntel [72]
3 years ago
9

Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

n(AxB) = 25

Step-by-step explanation:

AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.

Given

A = {a,b,c,d,e}

B = {1,2,3,4,5}

The number of elements for Cartesian product of two sets is determined by:

n(AxB) = n(A) * n(B)

Here

n(A) = 5\\n(B) = 5

So,

n(AxB) = 5*5 = 25

Hence,

n(AxB) = 25

Keywords: Sets, Cartesian Product

Learn more about sets at:

  • brainly.com/question/5102020
  • brainly.com/question/5147732

#LearnwithBrainly

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The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's we
Furkat [3]

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

b - j = \frac{b}{2}\\\frac{b}{2} - j = 0

Now we can solve using the process of elimination.

b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

120 + j = 180\\j = 180-120\\j = 60

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

4 0
3 years ago
Read 2 more answers
Solve by substitution-5x+4y=22 x - 3y = 0A) No solution.
zepelin [54]
We want to use substitution to solve
-5x + 4y = 22           (1)
 x - 3y = 0                (2)

From (2), obtain
x = 3y                      (3)
Substitute (3) into (1).
-5(3y) + 4y = 22
-15y + 4y = 22
-11y = 22
y = -2
From (3), obtain
x = 3y = 3*(-2) = -6

Answer: e. (-6, -2)
5 0
2 years ago
the ratio of coloured papers to white papers is 3.8 if there are 48 white papers how many coloured papers are there​
Talja [164]
3:8
Colored papers: white papers
White papers: 48
48/8= 6
3x6 = 18

There are 18 colored papers.
6 0
3 years ago
Please help, answer must be in fraction form if possible
yuradex [85]

Answer:

28.875 or 28 7/8

Step-by-step explanation:

pls mark brainliest!

steps:

(23+1/2) + (15+1/8) - (9+3/4) then solve

46+1 over 2 + 120+1 over 8 - 36+3 over 4

solve

47/2 + 121/8 - 39/4

solve

188+121-78 over 8 = 231/8

convert 231/8= 28 7/8

5 0
2 years ago
What values of x make the two expression below equal?
nasty-shy [4]
The denominator can't equal 0.
11(x-7) \not= 0 \\ x-7 \not=0 \\ x \not= 7 \\ \\ \\ \frac{(2x+1)(x-7)}{11(x-7)}=\frac{2x+1}{11} \\ \\
(2x+1)(x-7) \cdot 11= 11(x-7) \cdot (2x+1) \\
11(2x+1)(x-7)=11(2x+1)(x-7) \\ \\
x \in R \setminus \{7 \}

The answer is D.
7 0
2 years ago
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