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
USPshnik [31]
2 years ago
12

Let U - {q, r, s, t, u, v, w, x, y, z}

Mathematics
1 answer:
artcher [175]2 years ago
5 0

(<em>A</em> ∩ <em>B</em>)' is the complement of <em>A</em> ∩ <em>B</em>, or the set of all elements in the universal set <em>U</em> that do not belong to <em>A</em> ∩ <em>B</em>.

<em>A</em> ∩ <em>B</em> is the intersection of <em>A</em> and <em>B</em>, or the set of all elements common to both <em>A</em> and <em>B</em>.

We have

<em>A</em> = {q, s, u, w, y}

<em>B</em> = {q, s, y, z}

so that

<em>A</em> ∩ <em>B</em> = {q, s, y}

Then

(<em>A</em> ∩ <em>B</em>)' = {r, t, u, v, w, x, z}

which makes (c) the answer.

You might be interested in
A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

7y + 22z = 1416- - - - - - - - - - - 4

Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0
3 years ago
How many rational numbers are between 1 and 6?
gregori [183]

one ans six are infinite

6 0
3 years ago
The volume of the above solid is?
Novosadov [1.4K]
B of course i think i hope
4 0
3 years ago
Helppp algebra!!!!!!!20 points!!!!!!!
gladu [14]

Answer:

B

Step-by-step explanation:

it's more like 10 points

4 0
2 years ago
Read 2 more answers
Ken has read 1/3 of his book what fraction of his book is left to read?​
Stells [14]

Answer:

2/3

Step-by-step explanation:

fraction of book already read = 1/3

fraction which represents whole book = 1 = 3/3

fraction of remaining book = fraction of whole book - fraction of book already read

= 1 - 1/3

= 3/3 - 1/3

= (3-1) /3

= 2/3

8 0
3 years ago
Other questions:
  • A gas station is 21 miles away. How far is the gas station in kilometers? Use the following conversion: 1 mile is 1.6 kilometers
    8·2 answers
  • Greatest common divisor of 60 and 792 using the prime factorization method
    6·1 answer
  • Betsy works a part-time job at a local clothing store. She is single, and her taxable income for 2005 was $5,500.
    14·2 answers
  • How to solve this equation 2+6x=1-x
    12·2 answers
  • The cost of 5 squash and 2 zucchini is 1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable
    8·1 answer
  • 8x+4(4x-3)=4(6x+4)-4
    6·1 answer
  • If hector is 8years old and mary is 3 years old,how old will mary be when hector is 16
    15·1 answer
  • In what diffrent ways can 440 be written as the product of two positve integers
    12·1 answer
  • Which relation is displayed on the graph?
    7·1 answer
  • 2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!