1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prisoha [69]
2 years ago
10

If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?​

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
4 0
<h3>Answer:  10 elements</h3>

=======================================================

Explanation:

Let's use an example to see why this is

A = {1,2,3,4,5,6,7}

B = {x,y,z}

A U B = {1,2,3,4,5,6,7, x,y,z}

We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).

There are 7 items in set A, and 3 items in set B.

Therefore, we have 7+3 = <u>10 items in set A U B</u>

The symbol U refers to the set union operator.

If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.

The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.

-----------------

If you want a formula to write down on a notecard or reference sheet, then it would be

n(A U B) = n(A)+n(B)

where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region

You might be interested in
Please help me with this I will give out extra points with the brain this math question 1/5
AlladinOne [14]
Well the green path would b shorter so i would say c .. hope this helps!
7 0
2 years ago
Read 2 more answers
A 12-foot board rests against a wall. The angle that the board makes with the ground is 60°. How far is the base of the board aw
denis-greek [22]

Answer:

A. cos 60° = ; x = 6 feet

Step-by-step explanation:

apex

7 0
2 years ago
Read 2 more answers
Jessica was trying to determine if her friends that had a two story house also had a minivan. She surveyed her
Naddik [55]

The answer should be C

6 0
2 years ago
Read 2 more answers
Which of the following coordinates exists on the line y = 3x + 1?
tankabanditka [31]

Answer:

D

Step-by-step explanation:

-2 = 3(-1) +1

-2 = -3 + 1

-2 = -2

8 0
3 years ago
Read 2 more answers
Tommy has 3 dogs. Last month, he bought 5 pounds of dog food for 7.95, 8 pounds of dog food for 12.72, and 15 pounds of dog food
bija089 [108]

Answer:

The constant cost of dog food is $1.59 per pound.

Step-by-step explanation:

Divide each pound by the cost and you get $1.59

8 0
3 years ago
Other questions:
  • Given the diagram below what is the length of segment EF
    10·2 answers
  • Carlos has a $5 bill. If he buys an eggplant, how much
    9·2 answers
  • What’s the answer to this math problem?v
    8·2 answers
  • PLEASE ANSWER <br><br> ...<br> Subtract-3x – 8 from 4x2<br> 72 – 2.
    11·1 answer
  • On Wednesday, the temperature changes -30 each hour for 10 hours.
    10·2 answers
  • Solve the formula c = pi d for d
    15·2 answers
  • The three straight paths, AB,BC,AC, meet each other at three points, A,B, and C. How do these points of intersection differ from
    5·1 answer
  • An empty bulldozer weighed 5 6/8 tons. If it scooped up 6 1/2 tons of dirt, what would be the
    9·1 answer
  • the sum of two numbers is 44. the smaller number is five-sixths of the larger number. what are the numbers?​
    12·1 answer
  • Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!