there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class​

Answers

Answer 1

Answer:

hope it helps you

Step-by-step explanation:

Let

A be the set of students in art class

B be the set of students in dance class

n(A) = 35    

n(B) = 57      

a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80

b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B)  = 35 + 57 = 92


Related Questions

Need help with number 13

Answers

Answer:

x = 19

Step-by-step explanation:

the question tells you that the angle CBD is 90°.

so, that means that angle DBE and angle CBE add up to 90.

using this, you can make the following equation:

2x - 1 + 5x - 42 = 90

2x + 5x + -43 = 90

7x - 43 = 90

add 43 to both sides

7x = 90 + 43

7x = 133

x = 133/7

x = 19

Find the line that is perpendicular to line n that passes through point (2, –3).

If the slope of the perpendicular line is -2/5, what is the y-intercept of the perpendicular line?


A. b = -19/5

B. b = -11/5

C. b =4/5

D. b = 2




The answer is B. (b = -11/5)

Answers

The answer is B 11/5
the answer is b, -11/5

6{[(600x10²)]} - [(3x5)x2]+5-10+2=

Answers

Answer:

359967

Step-by-step explanation:

6{[(600 x 10²)]} - [(3 x 5) x 2] + 5 - 10 + 2 =

= 6(600 x 100) - [15 x 2] - 5 + 2

= 6(60000) - 30 - 5 + 2

= 360000 - 35 + 2

= 359965 + 2

= 359967

−2^6−(6)^2
uh its making me add more words so just ignore this

Answers

Answer:

-100

Step-by-step explanation:

we nuh care

-100 gang gang I think at least

i really need help on this one.

Answers

The answer is:

a = 20/3 = 6 2/3

What is the constant of proportionality in the equation StartFraction x over y EndFraction = StartFraction 2 over 9 EndFraction?

Answers

Answer:

so you asking what's the startfrsction and endfraction in the equation or ?

the question is “A ____ followed by a ____.”

Answers

Answer:

confused

Step-by-step explanation:

Answer: A man followed by a cop

Please help! (95 points)

Answers

Answer:

303.61

Step-by-step explanation:

if you need explantion tell me and i will edit my answer

Answer:

24.4M

Step-by-step explanation:

Find the slope of the line graphed below.

Answers

Answer:

m = -3/2

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-1-2)/(3-1)

m = -3/2

What is NOT a way to write 52 + 80?
A.
50 + 2 + 80
B.
(50 + 80) + 2
c.
50 + 80 + 2 + 8
D.
50 + 2 + 80 + 0

Answers

Answer: C

Step-by-step explanation: 50+2+80+8 is not right

The answer is c because 50 + 80 + 2 + 8 is incorrect it has an extra number which is the eight at the end

What plus 32 equals 98

Answers

Answer:

66

Step-by-step explanation:

Answer:

Lets numeralise the question,

According to question 32+ ? = 98

So if we take the unknown value as x then we will get,

32+x=98

So by transposing we get,

x=98-32

=  66

So 66 should be added to 32 to get 98

Find the value of MN if AB=18 cm, BC=14.4 cm, and LM=24 cm ABCD~LMNO

Answers

Answer:

14.4

Step-by-step explanation:

ABCD~LMNO

look, M and N are in the places of B and C

Sohie’s mom cans jelly. She fills each jar with 1/2 a pint of jelly. If she made 1 7/10 pints of jelly, which expression can be used to find how many jars Sophie’s mom can fill?

Answers

Answer:

Number of jar Sohie's mom can make can be found out by dividing the total amount by the amount in one jar, so we can frame a equation like this,

Let the number of total jar be x,

x = (1 7/10) / 1/2

That is the answer, let us solve this equation,

x = 1 7/10 / 1/2

=> x = 17/10 * 2/1

=> x = 17/5 * 1/1

=> x = 17/5

17/5 = 3.40

Therefore, she can pack 3.4 jars of jelly.

If my answer helped, please mark me as the brainliest!!

Thank You!!

Answer:

if im correct i think the awnser is that she can pack 3.4 jars of jelly.

Step-by-step explanation: Please tell me if im correct or not

Prove: a^2+b^2/2 ≥ab

Answers

We know that the square of any number is greater than or equal to zero ;

So if have a number like x :

[tex]( {x})^{2} \geqslant 0[/tex]

_________________________________

Now we have a number which is

( a - b ) ;

So we have :

[tex]( {a - b})^{2} \geqslant 0 [/tex]

##############################

Reminder :

[tex]( {a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

##############################

So we have :

[tex] {a}^{2} - 2ab + {b}^{2} \geqslant 0 [/tex]

Both sides plus 2ab :

[tex] {a}^{2} + {b}^{2} \geqslant 2ab [/tex]

Divided both sides by 2 :

[tex] \frac{ {a}^{2} + {b}^{2} }{2} \geqslant ab \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

y=-6x^2+100x-180
what are the zeros in this function? what do the zeros mean in context​

Answers

Answer:

If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Name 2 lines inthe diagram

Answers

Which diagram? You might need to re-ask this question. It’s missing details.

Davion’s crew can hang 12 sheets of drywall in 15 minutes. At this rate, how many sheets can they hang in 1 hour? (15 minutes # 1/4 hour

Answers

Answer:

48 sheets

Step-by-step explanation:

15*4=60m=1hr

So 12*4=48 sheets in an hour

Please someone help what’s to answer to f(3)=2 + g(5)=-17

Answers

Answer:

5 g - 2.

Step-by-step explanation:77217, Solve for g, 19*23=17g, 19⋅23=17g 19 ⋅ 23 = 17 g ... 77235, Solve for g, g^-1(7)=3, g−1(7)=3 g - 1 ( 7 ) = 3 ... 77244, Solve for g, (g-2)/(g+10)=(g-4)/(g+5), g−2g+10=g−4g+5 g - 2 g + 10 = g - 4 g + 5 ... 77266, Solve for g, (7g-21)/3-(2g-7)/4+1=5g-2, 7g−213−2g−74+1=5g−2 7 g - 21 3 - 2 g - 7 4 + 1 = 5 g - 2.

find the area of a circle with the following dimension, diameter=20cm

Answers

Answer:

314.16cm²

Step-by-step explanation:

Suppose there is a 3.1 temperature drop for every thousand feet that an airplane climbs
into the sky. If the temperature on the ground is 60.1, what will the temperature be
when the plane reaches an altitude of 11,000 feet?

Answers

Answer:

34.1 degrees

Step-by-step explanation:

given that the temperature drops 3.1 degrees for every thousand feet of elevation.

for an altitude of 11,000 feet (i.e 11 x 1000 feet), the temperature (compared to ground level) would drop,

= 3.1 deg / 1000-foot   x   11,000 feet

= 34.1 degrees

Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.

Answers

Answer:

A: 6.4

Step-by-step explanation:

edg2020

6.4 is correct

https://brainly.com/question/22127610

funne

18.75 divided by 0.70

Answers

Answer:

26.79 (rounded to the nearest hundredth)

12.) Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Pleaseee helppp

Answers

Answer:

Step-by-step explanation:

            Given                  Parallel lines                     Converse

a. ∠13 ≅ ∠17                          a║c                  Corresponding angles

b. ∠4 ≅ ∠9                            d║e                  Exterior alternate angles

c. m∠20 + m∠21 = 180°        a║b                  Consecutive interior angles

d. ∠8 ≅ ∠19                                                    Vertical angles

e. ∠10 ≅ ∠23                         b║c                  Interior alternate angles

f.  m∠14 + m∠17 = 180°          a║c                  Consecutive interior angles

From the given diagram and information, it can be concluded that lines a, b, and c are parallel, and lines d and e are parallel.

The given lines in the diagram are a, b, c, d, and e.

a. It is given that the measure of angle 13 is equal to that of angle 17.

Now, these two angles are made by lines a, c, and d. Now, the angles are corresponding and equal, and hence, lines a and c will be parallel.

b. It is given that the measure of angle 4 is equal to that of angle 9.

These two angles are made by lines d, e, and b. Now, the angles are alternate exterior and equal, and hence, lines d and e will be parallel.

c. It is given that the sum of the measure of angles 20 and 21 is equal to 180 degrees.

These two angles are made by lines a, b, and e. Now, the angles are supplementary and their sum is 180 degrees, and hence, lines a and b will be parallel.

d. It is given that the measure of angle 8 is equal to that of angle 19.

These two angles are vertically opposite angles between lines a and e.

e. It is given that the measure of angle 10 is equal to that of angle 23.

These two angles are made by lines b, c, and e. Now, the angles are alternate interior and equal, and hence, lines b and c will be parallel.

f. It is given that the sum of the measure of angles 14 and 17 is equal to 180 degrees.

These two angles are made by lines a, c, and d. Now, the angles are supplementary and their sum is 180 degrees, and hence, lines a and c will be parallel.

Therefore, it can be concluded that lines a, b, and c are parallel, and the lines d and e are parallel.

For more details, refer to the link:

https://brainly.com/question/20263406

Multiple-Step Problem
McKenna has 34 stuffed animals, Kenley has twice as many as McKenna. How many stuffed animals do the the girls have in all?​

Answers

Answer:

102

Step-by-step explanation:

You multiply 34 and 2 which gives you 68. Then you add 34 and 68 which gives you 102.

Solve for x and explain how you use inverse operations to find your answer:
8x=2

Answers

0.25 , because you divide 2 by 8 so that’s how you are using the inverse operation

Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2)

Answers

Answer:

y=2x+1

Step-by-step explanation:

change -2x to 2x

A teacher can spend as much as

$125.00 to take students to a movie.

​A movie theater charges a

$10.00 group fee and

$5.50 per ticket.

​Which of the following inequalities represents the problem and could ​be solved to find the maximum number of students,

x, who could ​attend the movie?

Answers

1. Subtract the group fee ($10) leaving $115
2. Make the equation 115 divided by 5.5 =X
Your answer would be 20.9 and round that down to 20 students.

The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A teacher can spend as much as $125.00 to take students to a movie.

And, ​A movie theater charges a $10.00 group fee and $5.50 per ticket.

Let maximum number of students, x, who could ​attend the movie = x

Hence, We can formulate;

5.50x + 10 ≤ 125

Solve for x;

5.50x ≤ 125 - 10

5.50x ≤ 115

x ≤ 115 / 5.50

x ≤ 20.90

x ≈ 21

Thus, The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ6

There are 11 kids at a birthday party. If there are 6 girls and 5 boys at the party, what fraction of the kids are girls?

Answers

Answer:

6/11

Step-by-step explanation:

Fraction that are girls

girls/ total

6/11

Answer:

6/11

Step-by-step explanation:

5+6=11 girls =6 so 6/11

I need help!! Select all that apply

Answers

Answer: #1 . #2    #4

Step-by-step explanation:

cuz i know

A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.
A 13.4 feet
B 14.6 feet
C 16.5 feet
D 18.0 feet

Answers

Answer:

A

Step-by-step explanation:

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