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
UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for
Pavlova-9 [17]

Answer:

12 pounds

Step-by-step explanation:

We we need to write equations to represent the situation in this problem.

x=weight of package

UPS cost=6+1+0.15(x-2)

UPS cost=6+1+0.15x-0.3

UPS cost=6.7+0.15x

FedEx cost=4+2+.25(x-2)

FedEx cost=4+2+0.25x-0.5

FedEx cost=5.5+0.25x

Next, we can set the two equations equal to each other to solve for x.

6.7+0.15x=5.5+0.25x

6.7+0.15x-5.5=5.5+0.25x-5.5

1.2+0.15x-0.15x=0.25x-0.15x

1.2/0.1=0.1x/0.1

x=12

It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.

8 0
3 years ago
Helppppp<br> Find the value of x.<br> A. 176<br> B. 128<br> C. 256<br> D. 74
RSB [31]

Answer: Choice B) 128

Explanation:

We'll add up the given arc measures and then cut the result in half to get the angle formed by the intersecting chords (that subtend the arcs in question).

chord angle = (arc1+arc2)/2

x = (54+202)/2

x = 256/2

x = 128

7 0
2 years ago
Read 2 more answers
Darwin's best time for running 5000 metres is 16 minutes. He wants to run it in 15 minutes and 30 seconds.
Rudik [331]

Answer:

3 percent

Step-by-step explanation:

convert to seconds

960 seconds to 930 seconds

30 seconds ÷ 960=3 per cent

6 0
3 years ago
Read 2 more answers
A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price?
Kryger [21]

Answer:

Your answer is 16.05

Step-by-step explanation:

15.75 + 0.3 = 16.05

16.05 - 0.3 = 15.75

5 0
3 years ago
Y’all. I need you to help me
Sergio039 [100]

Answer:

10

Step-by-step explanation:

PQ/QR = ST/TR

17.5/QR = 7/4

QR = (17.5 x 4)/7

QR = 70/7

QR = 10

3 0
3 years ago
Other questions:
  • Can you please help me with this ? I thought I understood today but still not on target with it .
    12·1 answer
  • A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. Th
    6·1 answer
  • Can someone show me how to solve this? and what formulas do i use?
    9·1 answer
  • 1.6 solving for a variable 2x+3y=12 for x​
    5·2 answers
  • Which one of the following examples represents a repeating decimal?
    6·1 answer
  • What is the difference between exponent form and expanded form (repeated multiplication)?
    9·1 answer
  • The slope-intercept form of a linear equation is y =mx +b, M is the slip of the line and b is where the line crosses the y-axis
    9·1 answer
  • I really don’t get it pls help me <br> The choices are<br> 3.1<br> 10.4<br> 13.8<br> 13.0
    14·1 answer
  • PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.
    7·1 answer
  • How to get 5% of 100?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!