Example 24 In a school there are 20 teachers who teach mathematics or physil
these, 12 teach mathematics and 4 teach both physics and mathematics. How Ex
teach physics ?​

Answers

Answer 1

Answer:

The number of teachers who teach  physics   n(P) = 12

Step-by-step explanation:

Step(i):-

Given that the number of teachers who teach mathematics or physics

n(MUP) = 20

Given that  the number of teachers who teach mathematics

n(M) = 12

Given that the number of teachers who teach both mathematics and physics

n(M∩P) = 4

Step(ii):-

By using   n(A∪B) = n(A) + n(B) - n(A∩B)

                n(M∪P) = n(M) +n(P) - n(M∩P)

                20         = 12 + n(P) - 4

               20 -12 +4 = n(P)

                    n(P) = 12

Final answer:-

The number of teachers who teach  physics   n(P) = 12


Related Questions

Find the missing numerical value in the box for which the equation 2/3(6x−12)=8+□(2x−4) has no solution.

Answers

Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

A square tile measuring 4 in. by 4 in. weighs 6 oz. Find the weight, in pounds, of a package of 144 such tiles.

Answers

Answer:

[tex]144 \ tiles = 864\ oz[/tex]

Step-by-step explanation:

Given

Dimension: 4 by 4

Weight: 6 oz

Required

Determine the weight of 144 of the tiles

From the question, we have that:

[tex]1\ tiles = 6\ oz[/tex]

Multiply both sides by 144

[tex]144 * 1\ tiles = 6\ oz * 144[/tex]

[tex]144 \ tiles = 864\ oz[/tex]

On Sunday, chara ran 6 more miles than he did on Saturday. If he ran m miles on Saturday, which expression represents how many miles chara ran on Sunday?
A. 6m
B. m + 6
C.6 - m
D. m - 6

Answers

Answer:

Is A supposed to be 6 x m or no??

Step-by-step explanation:

Which choice shows the product of 22 and 49

22 • 49 = 968

22 + 49 = 71

(22)(49) = 1078

22 x 49 = 978

Answers

Third one. Product is the answer you get when multiplying. So 22x49= 1078

Product of 22 and 49 is

(22)(49) = 1078

Option C

Given :

the product of 22 and 49

Explanation :

We need to find which option is correct to find product of 22 and 49

Product mean multiplying the numbers

so we need to multiply 22 and 49

  22

  49

----------

  198

  88

-------------

 1078

So the product of 22 and 49 is 1078

(22)(49)=1078

Option C is correct

Learn more :  brainly.ph/question/4746687

46÷6=? R ? What is the remainder for 46÷6= All i'm asking for is just the remainder.

Answers

Answer:

7.66666666667

Step-by-step explanation:

7 with the remainder of 4

A person earns $16,000 one year and gets a 5% raise in salary

Answers

Answer:

$16800

Step-by-step explanation:

16000 * 1.05 = 16800

Answer:

800

Step-by-step explanation:

$16,000 x 0.05= $800

whats 10x10+3942x238 divided by 12

Answers

78,191.33


10x10=100
3942x238=938,196
938,196 + 100=
938,296 divided by 12=
78,191.33

Answer:

78,191.33

Step-by-step explanation:

math

Hi! I need the answer to this quickly! Thank you

Answers

I am pretty sure it’s 14 I think but i don’t know for sure

Answer:

h=854.046

Step-by-step explanation:

h+2=2800÷tan73

h=854.046(correct to 3 decimal places)

please!!! help me which one is ???

Answers

Answer:

The answer is 150 degrees because you add 100 to the 50.

Step-by-step explanation:

Item 10

You earn $11 per hour working at a grocery store during the summer. The function p(x)=11x represents the amount you earn for working x hours.


a. You work 18 hours. How much do you earn?


$


b. How many hours do you have to work to earn $275?


If you finish in 10 minutes you get brainliest

Answers

Answer a) is 198
Answer b) is 11 times 25

In the diagram, ECD is a ___ of ABC across line P.
A. Rotation
B. Reflection
C. Translation
D. Glide Reflection

Answers

Answer:

i think C

Step-by-step explanation:

Solved for U

43=5u - 17

Answers

Answer:

U=12

Step-by-step explanation:

1. Add 1717 to both sides.

43+17=5u

43+17=5u

2. Simplify  43+1743+17  to  6060.

60=5u

60=5u

3. 60/5=u

4. simplify 60/5 to 12

5. Switch sides! and theres ur answer! U=12 Hope this helped!! :)  

One leg of the picnic table in Ruth’s backyard is One-half of a centimetre too short, causing the table to wobble. Ruth grabs 3 quarters, each of which are 7 over 40 of a centimetre thick, for a total thickness of 21 over 40 to put under the table leg.

Which statement is true?

The 3 quarters are not thick enough to fill the gap because StartFraction 21 over 40 EndFraction is less than one-half.
The 3 quarters are not thick enough to fill the gap because 21 over 40 is greater than one-half.
The 3 quarters are too thick to put under the table leg because 21 over 40 is less than one-half.
The 3 quarters are too thick to put under the table leg because 21 over 40 is greater than one-half.

Answers

Answer:The 3 quarters are not thick enough to fill the gap because StartFraction 21 over 40 EndFraction is less than one-half.

Step-by-step explanation:

1 point
1) Determine whether the graph represent a function."
The relation is a function.
The relation is not a function.

Answers

Answer:

function i think

Step-by-step explanation:

there are 121 boys and 116 girls signed up for a felid trip the leader first makes grops of nine students and assign the remaining into groups of ten. how many groups of ten will there be

Answers

Answer:

22 groups of ten

Step-by-step explanation:

121 plus 116 = 237

237 - 9 = 228

lets split 228 into parts

200

20

8

there are 20 groups of ten in 200

2 groups of ten in 20

and 8 has 0 it is a remainder

20 groups plus 2 groups = 22

22 groups of ten

this probobly isn't the easiest way but I don't know how but this is my thought process.

How do I find the sin x

Answers

sin=opposite/hypotenuse= 32 (it’s the opposite of x)/40 (opposite of the right angle) so sin x=32/40

A school with 340 students produces trash that fills 1,190 tall trash cans per week. If each student produces the same amount of
trash, approximately how many trash cans does each student fill per week?

Answers

3.5 trash cans a week

what number is 40% of 200 ​

Answers

Answer:

80

Step-by-step explanation:

40% of 200 = 0.40 *200 = 80

Answer:

The answer is 80%

Step-by-step explanation:

Step 1- Use a caculator

Step 2- Type the question in the caculator

Step 3- Get your answer  

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → 0 x 8x 8x − 1

Answers

Answer:

1/log8

Step-by-step explanation:

Given the limit of the function

Lim x → 0 x•8^x/8^x − 1

Plug in the value of x

= 0•8^0/8^0-1

= 0(1)/1-1

= 0/0 (indeterminate)

Apply l'hosipitals rule:

Lim x → 0 d/dx(x•8^x)/d/dx(8^x − 1)

= Lim x → 0 (x•8^xlog8+1(8^x))/8^xlog8

Plug in the value of x:

= 0•8^0log8+8^0/8^0log8

= 0•1(log8)+1/1•log8

= 0(log8)+1/log8

= 0+1/log8

= 1/log8

Hence the limit of the function is 1/log8

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
See
The picture please help test

Answers

Answer:

100.3 sqr. units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of 2 semicircles

✔️Area of parallelogram = base * height

Base = 10

Height = 5

Area of parallelogram = 10*5 = 50 sqr. units

✔️Area of 2 semicircles = 2(½*πr²)

radius (r) = ½*8 = 4

Area of two semicircles = 2(½*π*4²)

Area of two semicircles = π*16 = 50.3 sqr.

✔️Area of composite figure = 50 + 50.3 = 100.3 sqr. units

What is the missing value in the table?
A. 14
B. 15
C. 17
D. 18

Answers

Answer: A. 14

Step-by-step explanation: It’s going by even numbers

In Katya’s car, the number of miles driven is proportional to the number of gallons of gas used. Find the missing value in the table. (at the bottom)

b. What is the constant of proportionality?

Answers

Answer:

8

Step-by-step explanation:

hope this helps~ :D

Answer:

8 aayega iska answer

Which equation can be used tº find B in the triangle below?

Answers

Answer:

tanB=8/6

Step-by-step explanation:

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.

Answers

Only A is a linear function because B is not a straight line.
Slope m=(y2-y1)/(x2-x1)=(10-5)/(6-3)=5/3

5=5/3*3+b

b=0

Y=5/3x

Researchers studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group.

Required:
Identify the population of interest in the study.

Answers

Answer:

The population of interest in this study is:

children between the ages of 5 and 15.

Step-by-step explanation:

In research methodology, the population of interest is the comprehensive group of individuals, institutions, objects, and so forth who possess some common characteristics that are the interest of the researchers.  In our example, the researchers are studying the relationship between honesty, age, and self-control. The common characteristic of the group in this case is the age group between the ages of 5 and 15.  This characteristic distinguishes the children of this age group from other individuals, institutions, objects, and so forth.

If MN is a midsegment triangle ABS, find the values of x and y. (picture attached

Answers

Answer:

f

Step-by-step explanation:

2. The standardized verbal scores of students entering a large university are normally distributed with a mean
of 600 and a standard deviation of 80. Find the percent of scores that are:

Answers

Answer:

w

Step-by-step explanation:

Josh bought 2 pairs of jeans for $25.60 each and some shirts for $15.30 each. If he spent a total of $112.40,
many shirts did Josh buy?

Answers

Answer:

5 shirts

Step-by-step explanation:

2 pairs of jeans $25.60

$112.40-$25.60=$86.80

if each pair of T-shirts cost $15.30

$15.30 times 5=$76.50

$86.80 - $76.50=$10.30

so John bought 5 shirts however he got some many left $10.30

8. A haircut is $120, how much is a 15% tip? *


Answers

Answer:

18

Step-by-step explanation: 120 times 0.15

Answer:

$18

Step-by-step explanation:

To work out 15% using a calculator:

0.15 multiplied by 120 which is 18

To work out 15% without a calculator:

10% of 120 is 12. (Just remove the last number whenever you want to get 10% or add it on as a decimal if it's greater than 0. e.g. 10% of 40 is 4 but 10% of 48 is 4.8)

To add the 5% divide 12 by 2 which is 6.

Add the 10% to the 5% to get the 15%.

12+6=18

A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 74.46 cm long. 1/360th of the circumference of the circle is 0.51 cm long. What is the measure of this angle in degrees?
 ________degrees

Answers

Answer:

146°

Step-by-step explanation:

You're given an angle, where the vertex is the center of a circle. This makes the angle's rays two radii of the circle. You are then given the length of 1/360th of the circle, which is .51cm, which is also 1 degree of the circle.

If the arc of the circle between the angle's rays is 74.46 cm. It becomes a division problem:

[tex]\frac{74.46 cm}{.51 cm}[/tex]

After the division, the fraction simplifies to 146, which is 146 segments of .51cm in the arc, and since .51cm is equivalent to 1 degree of the circle, the arc is 146 degrees.

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