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

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

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

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

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

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.....

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

Answers

The answer is B


rate 5 starts

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.

Six less than the product of four and a number X

Answers

[tex]6 < 4x[/tex]

Hope this helps:)

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

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

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

                   

Covert fractions into percents

1/8= __

Answers

Answer:

12.5%

Step-by-step explanation:

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:

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.

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

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

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

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

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.

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

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

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

Answers

5.1cm is 2.00787 inch’s

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

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:

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

(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:

Help help help help help help

Answers

Answer:

70.2

Step-by-step explanation:

28.08 / 0.4 = 70.2

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 )♥♥︎

Please take a look at the picture for question

Answers

A



hope i made your day
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