Mathematics College

Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?

Answers

Answer 1

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

------

Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

Related Questions

what is the radius and diameter of the following circle ? 5.1 cm ?

Answers

5.1cm is 2.00787 inch’s

Plz help me well mark brainliest!!

Answers

Answer:

x=-52

1/3x-2/3=-18

multiply both sides by 3

x-2=-54

x=-54+2

x=-52

X=-52 your welcome have a good day

Help help help help help help

Answers

Answer:

70.2

Step-by-step explanation:

28.08 / 0.4 = 70.2

Covert fractions into percents

1/8= __

Answers

Answer:

12.5%

Step-by-step explanation:

a cylinder with a radius of 5cm and height of 10cm equals what volume?

Answers

The formula of cylinder volume is V= Pi(radius)^2 (height). Therefore, V=(5)^2 (10)pi = 785.398 cm^3

Answer:

15

Step-by-step explanation:

15 show wisbf disbesnsjs sjsnsid e ejeisoe. ejdjdnd

which of the following best describes the graph below?
plssss help!!

Answers

The answer is B


rate 5 starts

Wyatt's eye-level height is 120 iS ft above sea level, and Shawn's eye-level height is 270 ft above sea level. How
farther can Shawn see to the horizon? Use the formula d=
3h
much
n20. with d being the distance they can see in miles
and h being their eye-level height in feet.

Answers

Answer:

150 eye level hight above sea level

Step-by-step explanation:

270-120=150

Plz hurry and DONT give me a link



The point (-5, 6) is located in which quadrant?
8
6
4
ND
2
-9 -6 -4
-4-2
2
4
8 8 x
-4
-6
-8
O Quadrant !
Quadrant Il
0 Quadrant III
Quadrant IV

Answers

Answer:

Quadrant II

Step-by-step explanation:

(-5,6)

The x coordinate is negative so the quadrant is either 2 or 3

The y coordinate is positive so the quadrant is either 1 or 2

To make both  happen, it must be in quadrant 2

Quadrant II

How do I do this question!

Answers

Answer:2 x 3

Step-by-step explanation:

Answer: [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

2[tex]\frac{1}{10}[/tex] barrels of almonds to make 3 batches of granola bar.

We need to turn fraction 2[tex]\frac{1}{10}[/tex] into a mixed number

2[tex]\frac{1}{10}[/tex] → [tex]\frac{21}{10}[/tex]

Now we set up an equation.

[tex]\frac{\frac{21}{10} }{3} =\frac{x}{1}[/tex]

Solve for x by cross multiplying and dividing.

[tex]\frac{21}{10}[/tex] ÷ 3 (KCF)

[tex]\frac{21}{10}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{30}[/tex]

Now we simplify the fraction.

[tex]\frac{21}{30}[/tex] → [tex]\frac{7}{10}[/tex]

[tex]\frac{7}{10}[/tex] barrels of almonds were used in each batch.

A bullet train can travel at 170 miles per hour. Will a graph representing distance in miles compared to time in hours show a proportional relationship? Explain

Answers

Answer:

yes

Step-by-step explanation:

the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.

Please help me I need to turn this in very soon

Answers

Answer:

1331/3375

Step-by-step explanation:

(11/15) ^3 = (11*11*11)/(15*15*15) =1331/3375

                   

Six less than the product of four and a number X

Answers

[tex]6 < 4x[/tex]

Hope this helps:)

Sam has 3 bottles of water. Together Sam and Dave have at most 12 bottles of water. How many bottles of water can Dave have?

Inequality-

ANSWER- ​

Answers

Answer: 9

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

If you divide 12 and 3 you will equal 4

Please take a look at the picture for question

Answers

A



hope i made your day

What is the prime factorization of 144?
2
O 2x62
O 22 x 34
x
O 23 x 32
х
0 24 x 32
Х
Help pls thx

Answers

Answer:

2

Step-by-step explanation:

Hi do you have a photo? i’m confused with the listing

The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door

Answers

Answer:

The width of the door to be 39.10 ft, and the height to be 40.7 feet.

which expression represents the product of 3 and 1 1/4 n 1.8

Answers

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

3•1 1/4•1.8= 6 3/4

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Let’s start of with 3•1 1/4~

3 times 1 and 1/4 is 3 3/4

Now let’s multiply 3 3/4 • 1.8

1.8 is also 1 8/10, simplified: 1 4/5.

3 3/4 • 1 4/5 = 6 3/4

THERE IS YOUR ANSWER! >o<

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

Solve for x. SHOW ALL WORK

5(3x+4)−2x=7x−3(−2x+11

Answers

Answer:

x = -47/6

Step-by-step explanation:

Simplify both sides of the equation : 13x + 20 = 7x - 27

Subtract 7x from both sides : 6x + 20 = -27

Subtract 20 from both sides : 6x = -47

Divide both sides by 6 : 6x/6 = -47/6

Answer : x = -47/6

If a rope four yards long is cut into three equal pieces, each piece will be A. 4feet B. 3 1/2 feet C. 3 1/3 D. 3 feet E. 2 1/4 feet

Answers

Answer:

A 4 Feet

Explanation 4yards=12feet 12 divided by 3=4

I need the first question pls

Answers

Answer:

Step-by-step explanation:

All magnets have two poles -- arbitrarily called North and South; a magnet is characterized by the magnetic force it creates.

The man gets are correct but the other

(HELP ASAP PLEAE!!)Expression A: 3x + 2
Expression B: 1 + 3x + 1
Which statement can be used to show that these expressions are equivalent?
A. 3x + 2 can be rewritten as 1 + 3x + 1 using the distributive
property
B. Both expressions involve addition.
C. Each expression includes the term 3x.
D. The expressions name the same number regardless of the value
of x.

Answers

Answer:

its c

Step-by-step explanation:

sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

Answers

Answer:

12/9+3 4/3 = 5 2/3 or 17/3

Step-by-step explanation:

Answer:

its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.

Step-by-step explanation:

Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

I really need help, like my teacher hasn't gotten back to me yet. I looked through my lessons but my brain isn't comprehending ✨anything.✨ And im about to cry im so mad about myself.

Answers

Answer: 15

Step-by-step explanation:

Sorry bout that.....

1.
All the sides of a triangle are the same length. If their lengths are 6 cm, what is the perimeter?

Answers

Answer: 6

Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.

Hey can anyone help me with these please and thank you !

Answers

Answer:

I would be able to help you but I cant see the work that well. hope you figure it out.

Step-by-step explanation:

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer:

9

Step-by-step explanation:

All but 9

Answer:

12

Step-by-step explanation:

I used a calculator I hhhhhhj

help pls I'll give briliantest and give I 10 points please I need helpppp​

Answers

Answer:

P=-120

Step-by-step explanation:

This might be higher level than I am since I am still a student but p=-120i know that

In a 2004 poll of 500 cell phone users conducted by the Yankee Group, 20% indicated that they had received commercial messages or ads on their cell phones. Is there sufficient evidence to conclude that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of .13 reported for the previous year

Answers

Answer:44÷58+44

Step-by-step explanation:

Which comparison is incorrect?
-3> -7
-9> 4
-4>-6
7>5

Answers

Answer:

-9> 4

Step-by-step explanation:

-9> 4

Positive numbers are greater than negative numbers and knowing that makes this comparison incorrect.

Hope this helps :)

-9>4
A negative cannot be greater than a positive

Plz plz plz plz help me do this will give brainleiest.

Answers

Answer:

50 in²

Step-by-step explanation:

The area of the rectangle = 8 × 4 = 32 in²

area of Δ NPO = [tex]\frac{1}{2}[/tex] × PO × PN = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 in² ( PN = RM )

area of Δ PQR = [tex]\frac{1}{2}[/tex] × RP × 3 = [tex]\frac{1}{2}[/tex] × 8 × 3 = 12 in² ( RP = MN )

area of MNOPQR = 32 + 6 + 12 = 50 in²

Other Questions
3Select the correct answer.Which statement describes how the 1945 vice-presidential change from Wallace to Truman influenced the Cold War?OA.It discouraged diplomacy because Wallace believed in using atomic weapons.OB.It increased tensions because Truman distrusted the Soviets..It resulted in Truman's appeasement of Josef Stalin.OD.It reversed Wallace's support for containment.ResetNext When an alpha particle is emitted from an unstable nucleus, what happens to the atomic number of the nucleus y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither What was the stated purpose of the Constitutional Convention?a) the revision of the Declaration of Independenceb) to write to the British Conventionc) write the words to the national anthemd) to vote on statehoode) the revision of the Articles of Confederation Write a short description in Spanish of what you and a family member do and why. Write two (2) complete sentences in Spanish. Include the following details in your description: (4 points)You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , .*Note: The sample sentences in parentheses are just a guide to help you form your sentences. You must come up with your own original answers keeping academic integrity intact.Write one sentence describing an activity a family member does. Include where he/she goes to do the activity and when/how often he/she does it. (e.g., Sometimes, my mom goes to the park to run.) Remember to use the correct form of the verb ir.Write one sentence describing an activity you do with a member of your family for fun. Include where you go to do the activity and when/how often you do it. (e.g., On Sundays, my dad and I go to the mall to have lunch.) Remember to use the correct form of the verb ir.Your answer:HELP!!!!! You have a coupon for 25% off the price of a mystery book that sells for $7.00. You also have one for 20% off the price of a science fiction book that sells for $6.25. You have $5.00. Which book can you afford to buy? Explain. Select the correct answer.Which statement is false? A.A monopoly sells lower-quality products at higher prices than in perfect competition. B.Natural monopolies are necessary to avoid wasteful duplication of resources. C.Collusion is legal in the United States, but cartels are not. D.The start-up costs in a monopolistically competitive industry are low. E.Homogeneous products leave consumers with no choice. Consider the case where a closed vessel initially is filled with 1 mol of EE at 88 kPa. Then, pure EtOH is gradually added to the system at constant temperature and pressure until the system is comprised of 1 mol EE and 9 mol EtOH. Describe how the phase behavior and phase composition change throughout this process. Does the system phase separate at any point What was the myth of how Rome was founded 9th grade history Plants that we reconize today spend the majority of their life in the blankA) haploid Phase B) seed phaseC) diploid phase D) gametophyte Lauren is going to invest in an account paying an interest rate of 3.4% compoundedannually. How much would Lauren need to invest, to the nearest cent, for the value ofthe account to reach $13,000 in 8 years? Which describes how to move from (2, 3) to (6,4) on a coordinate grid? i need help with this what is the function of the digestive system? why is it important to the body? figure b is a scaled copy of figure a An object is at rest on a tabletop. Earth pulls downward on this object with a force equal in magnitude to mg. If this force serves as the action force, what is the reaction force in the actionreaction pair? (3^-2 4^-2)^-3 = 12^xIn the given expression find the value of x. 3.As a department manager, you have decided to purchase two projectors to be installed in two of the conference rooms. Your brother has just started his own business in office supplies. He is able to provide you the two projectors with no installation cost. What might you want to consider? Please provide 4 answers. very urgent thanks BUSINESS FOR ETHICS. Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning. A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,380 ft Determine the flag's width and length if the length is ft greater than the width.