On Diwali, Ranjana packed 90 chocolates in a box. She has an order of 1875 boxes. How many chocolates does she need to complete the order?

Please write it in academic style, rather than just answer. ​

Answers

Answer 1

Answer: 168,750 chocolates

Step-by-step explanation:

If there are 90 chocolates in a box and there are 1,875 boxes, you multiply 1,875 by 90 to get the total number of chocolates needed to complete the order.

1,875 * 90 = 168,750

There are 168,750 chocolates needed to complete the order.


Related Questions

9/4n = 1.5/7 Please Explain

Answers

Answer:

9/4n= 1.5/7

right now to find this equation it is a proportion so you cross multiply and you gonna get 63=6n and divide 6 on both sides and u get 10.5.

Check 9/4n= 9/42 and to simply u will get 1.5/7

Step-by-step explanation:

Tricky question heelp mee!

Answers

146

Step-by-step explanation:

Given:

[tex]x - \dfrac{1}{x} = 12[/tex]

To Find:

[tex] \sf \: The \: value \: of \: {x}^{2} + \dfrac{1}{ {x}^{2} } [/tex]

How to find:

Just square both side, Solve as a equation and get the answer. Simple, Isn't it?

Solution:

See in attachment.

Answer:

146

Step-by-step explanation:

The answer of this question id 146 .

you can do this type of numericals by above process.

NEED HELP ASAP!!!! RIGHT NOW

Answers

Answer:

120 degrees

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Add all the number then subtract it with 360.

Dos conductores A y B llenan un estanqe en 20 horas .Si el conductor B fuera un desague el estanq se llenaria en 52 horas ¿En q tiempo se llenara el estanque estando solo abierto el conducto A?

Answers

Answer:

Con el conducto A abierto, el estanque se llenará en 32.5 horas.

Step-by-step explanation:

Deje que el volumen de agua presente en el estanque sea x litros

La tasa conjunta sería x / 20 litros por hora.

Para el conducto A, no sabemos la hora, llamemos a esto y así que la tasa aquí será x / y

Para el conducto B tomará 52 horas y su tasa es x / 52

Matemáticamente, cuando sumamos ambas tasas juntas, obtendremos la tasa conjunta; Así; x / y + x / 52 = x / 20

Saca x en ambos lados 1 / y+ 1/52 = 1/20

(52 + y) / 52y = 1/20

20 (52 + y) = 52y

1040 + 20y= 52y

1040 = 52y -20y

32y = 1040 y = 1040/32

y = 32.5 horas

Con el conducto A abierto, el estanque se llenará en 32.5 horas.

Given the geometric sequence where a1 = −1 and the common ratio is 7, what is the domain for n? A. All integers B. All integers where n ≥ −1 C. All integers where n ≥ 0 D. All integers where n ≥ 1

Answers

Answer:

D

Step-by-step explanation:

Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].

It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].

In other words, as the common ratio is 7 the sequence is defined by

[tex]a_1=-1[/tex]

[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]

For instance, we can estimate the first terms:

[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]

And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:

[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]

Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

D.) would be the correct answer

Simplify: 34w-(-8w)

Answers

Answer: 42w

Step-by-step explanation:

Subtracting a negative is like adding.

42w
Since two negatives equal a positive.

For each function, state the vertex and whether the function has a maximum or minimum value. Explain how you decided? f(x) = -(x + 1)^2 + 6

Answers

Answer:

maximum value at (- 1, 6 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then minimum value

• If a < 0 then maximum value

y = - (x + 1)² + 6

with (h, k) = (- 1, 6 ) and a = - 1

Thus vertex = (- 1, 6 ) and is a maximum

Please answer this in two minutes

Answers

Answer:

R = 21.8° to the nearest tenth

Step-by-step explanation:

To find Angle R we use tan

tan ∅ = opposite / adjacent

From the question

The opposite is 2

The adjacent is 5

So we have

tan R = 2/5

R = tan-¹ 2/5

R = 21.8° to the nearest tenth

Hope this helps you

Question 5 of 10
Which of the following is the converse of the statement "If it is summer, then
it is warm outside"?
A. If it is warm outside, then it is summer.
B. If it is not warm outside, then it is summer.
O
C. If it is warm outside, then it is not summer.
D. If it is not warm outside, then it is not summer.
hs

Answers

Answer:

If it is warm outside, then it is summer

Step-by-step explanation:

To find the converse, interchange the hypothesis and the conclusion

"If it is summer, then it is warm outside"

If it is warm outside, then it is summer

Answer:

A. If it is warm outside, then it is summer

Step-by-step explanation:

statement "If it is summer, then it is warm outside" : warm=summer

A. If it is warm outside, then it is summer. : warm = summer ✓

B. If it is not warm outside, then it is summer. : not warm = summer x

C. If it is warm outside, then it is not summer. : warm =not  summer x

D. If it is not warm outside, then it is not summer. : not warm = not summer x

A shipping container is in the shape of a cube and has a side length of 6ft. It can hold 4 smaller boxes of flour.
If the dimensions of the shipping container are tripled, what is the max number of smaller boxes of flour that the shipping box can hold

Answers

Answer:

c. 108

Step-by-step explanation:

Given

Shape of container: Cube

Initial dimension of the container = 6ft by 6ft by 6ft

Initial Number of boxes = 4

Required

Calculate the number of boxes when the dimension is tripled

The first step is to calculate the initial volume of the box;

[tex]Volume = Length * Length * Length[/tex]

[tex]Volume = 6ft * 6ft * 6ft[/tex]

[tex]Volume = 216ft^3[/tex]

This implies that the container can contain 4 small boxes when its volume is 216;

Represent this as a ratio;

[tex]4 : 216[/tex]

The next step is to calculate the volume when the dimension is tripled;

[tex]New\ Length = Old\ Length * 3[/tex]

[tex]New\ Length = 6ft* 3[/tex]

[tex]New\ Length = 18ft[/tex]

Hence;

[tex]Volume = 18ft * 18ft * 18ft[/tex]

[tex]Volume = 5832ft^3[/tex]

Let the number of boxes it can contain be represented with x

Similarly, represent this as a ratio

[tex]x : 5832[/tex]

Equate both ratios;

[tex]4 : 216 = x : 5832[/tex]

Convert ratios to fractions

[tex]\frac{4}{216} = \frac{x}{5832}[/tex]

Multiply both sides by 5832

[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]

[tex]5832 * \frac{4}{216} = x[/tex]

[tex]\frac{5832 *4}{216} = x[/tex]

[tex]\frac{23328}{216} = x[/tex]

[tex]108 = x[/tex]

[tex]x = 108[/tex]

Hence, the maximum number of boxes it can contain is 108

Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?

Answers

Answer:

51

Step-by-step explanation:

Well we first need to find the volume of the soup in the pot using the following formula,

πr^2h

15*15 = 225

225 * 25 = 5625

5625 * pi = 17671.46

Now we need to find the volume of the ice cube using the formula,

l*w*h

7*7*7 = 343

Now we do 17671.46 ÷ 343 = 51.5202915452

You can have half an ice cube,

thus, Sharon can make 51 whole cubes.

Hope this helps :)

Answer:

130 cubes  ( if the cylindrical height is 25 in )

51 cubes ( if the cylindrical height is 25 cm)

Step-by-step explanation:

cube edges = 7 cm long

volume of the soup = pi * r² * h

where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm

cylindrical pot diameter d = 30 cm

Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 44,885.5 / 343 = 130 cubes

therefore, Sharon can make 130 whole cubes

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

if the cylindrical height is 25cm then

Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 17,671.5 / 343 = 51 cubes

points Q and R are midpoints of the sides of triangle ABC. Triangle A B C is cut by line segment Q R. Point Q is the midpoint of side A B and point R is the midpoint of side A C. The lengths of A Q and Q B are 4 p, the length of Q R is 2 p + 3, and the length of C B is 6 p minus 4. The lengths of A R and R C are congruent. What is AQ? 10 units 14 units 20 units 32 units

Answers

Answer:

AQ = 20 units

Step-by-step explanation:

I tried figuring in the pic below..

Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.

We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.

Answer:

20

Step-by-step explanation:

RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.

(also it is right on edgenuity)

how to solve for x?Knowledge and Understanding

Answers

Answer:

x = 25°

Step-by-step explanation:

The figure above is a quadrilateral

Angles in a quadrilateral add up to 360°

To find x add up all the angles and equate them to 360°

That's

6x + 4x + 3x + x + 10 = 360

14x = 350

Divide both sides by 14

x = 25°

Hope this helps you

22. “n is less than 15 and greater than or equal to 3”

Complete the following steps to receive full credit for this question:

• The inequality translated in numerical form
• The solution graphed on a number line
• The solution in interval form

Answers

Answer:

3 ≤ n < 15

not nnot nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nnot n

 1-2. not n

3-4. yes n

5-6. yes n

 7-8. yes n

9-10. yes n

11-12. yes n

13-14. yes n

15-16. not n

Step-by-step explanation:

Everything on this side is less than, < but everything on this side is greater.

Everything on this side could be equal or less, ≤ but everything on this side is

not.

I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.

Intervals has each point represent more than one number making the line shorter.

Find the median, mean and mode of : 0,2,2,4,4,6,6,6,6 pls show working

Answers

Answer:

Step-by-step explanation:

The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.

The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.

The mode is 6, which is the integer that is shown the most.

Answer:

mean=4

median=4

mode=6

Step-by-step explanation:

Mean: add 0+2+2+4+4+6+6+6+6=36

36/ (the amount of numbers) 9= 4

Median: cross out the numbers left to right until you get to the middle which is 4.

Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.

Solve the equation for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures. sine theta cosine theta minus sine theta equals 0
A. {270 degree - 360 degree n, where n is any integer}
B. {270 degree + 180 degree n, where n is any integer}
C. {270 degree + 180 degree n, 315 degree + 180 degree n, where n is any integer}
D. {270 degree + 360 degree n, 315 degree + 360 degree n, where n is any integer}

Answers

Step-by-step explanation:

The equation is   sinθ * cosθ - sinθ = 0

sinθ * cosθ -sinθ = 0sinθ * cosθ = sinθcosθ = sinθ/sinθcosθ = 1

θ = 0 + 2kπ

θ = 2kπ where k is any integer

The solutions to the equation are: {0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

Hence, the correct option is C.

The given equation is:

sin theta × cos theta - sin theta = 0

We can factor out the sine theta:

sin theta (cos theta - 1) = 0

This means that either sin theta = 0 or cos theta - 1 = 0.

If sin theta = 0, then theta = 0, 180 degrees, 360 degrees, etc.

If cos theta - 1 = 0, then cos theta = 1, which means that theta = 0 degrees and 360 degrees.

Therefore, the solutions to the equation are:

{0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

So the answer is C.

Learn more about solutions here: brainly.com/question/30665317

#SPJ2

How to do this question plz ​

Answers

Answer: x=10

Step-by-step explanation:

We can use the pythagorean theorem here: a^2 + b^2 = c^2, where c is the hypotenuse.

The values for c and one of the legs are already given, so we can plug them into the equation to find the length of the other leg x:

(square root of 200)^2 + x^2 = (square root of 300)^2

200 + x^2 = 300

x^2 = 100

x = 10

Answer:

Step-by-step explanation

square root  300 square - square root 200 square = x square

300 - 200 = x square

100 = x square

square root 100 = x

10= x

In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?

Answers

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

Joe and Danny have just won 350 arcade tickets. If each arcade game can be played with 12 tickets, how many will they have left over at the end of the day, if they play the maximum number of games?

Answers

Answer:

2 tickets left

Step-by-step explanation:

12✖️29=348

350-348=2

Answer:

If they play the maximum number of games, there will be two tickets left over.

Step-by-step explanation:

For this problem, I used long division.

350 divided by 12 comes out to be 29.

29 is the maximum number of games they could play.

29 times 12 is 348.

350 (the total number of tickets) minus 348 (number of tickets used) comes out to be two.

Hope this helps! Brainliest would really help me out :)

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TINSS
Self Mastery
1. Pak Kamil is a food committee member for a programme. He buys 10 kg of fish and 6 kg of vegetables for RM136 to
make a feast for the programme. He then adds 4 kg fish and 2 kg of vegetables for RM54. After experiencing some
technical problems, the programme had to be cancelled. If Pak Kamil sells all the fish and vegetables for RM8 and
RM0.50 per kilogram, respectively, what is the total loss experienced by Pak Kamil? Show your calculations.
TP 6​

Answers

Answer:

The total loss experienced by Pak kamil is RM74

Step-by-step explanation:

The cost of 10 kg and  6 kg of vegetables = RM 136

The cost of 4 kg fish and 2 kg of vegetables = RM 54

Amount for which the fish was sold = RM8 per kilogram

Amount for which the vegetables was sold = RM0.50 per kilogram

The total mass of the fish = 10 kg + 4 kg = 14 kg

The total mass of the vegetables = 6 kg + 2 kg = 8 kg

The amount for which the meat was sold = 14 kg × RM8/kg = RM112

The amount for which the fish was sold = 8 kg × RM0.50/kg = RM4

RM112 + RM4 = RM116

The total amount for which the fish and vegetable was sold = RM136 + RM54 = RM190

Therefore, the total loss experienced by Pak kamil = RM190 - RM116 = RM74.

The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies

Answers

Answer:

0.260.911.43

Step-by-step explanation:

given data

mean = 1.9 hours

standard deviation = 0.3 hours

solution

we get here first  random movie between 1.8 and 2.0 hours

so here

P(1.8 < z < 2 )

z = (1.8 - 1.9) ÷ 0.3

z = -0.33

and

z = (2.0 - 1.9) ÷ 0.3

z = 0.33

z = 0.6293

so

P(-0.333 < z < 0.333 )

=  0.26

so random movie is between 1.8 and 2.0 hours long is 0.26

and

A movie is longer than 2.3 hours.

P(x > 2.3)

P( [tex]\frac{x-\mu }{\sigma}[/tex]  > [tex]\frac{2.3-\mu }{\sigma}[/tex] )

P (z  > [tex]\frac{2.3-1.9 }{0.3}[/tex]  )

P (z  > 1.333  )

= 0.091

so chance a movie is longer than 2.3 hours is 0.091

and

length of movie that is shorter than 94% of the movies is

P(x > a ) = 0.94

P(x <  a ) = 0.06

so

P( [tex]\frac{x-\mu }{\sigma }[/tex] <  [tex]\frac{a-\mu }{\sigma }[/tex] )

[tex]\frac{a-1.9 }{0.3 } = -1.55[/tex]

a = 1.43

so length of the movie that is shorter than 94% of the movies about 1.4 hours.

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1

Answers

Answer:

x = 1

Step-by-step explanation:

Using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

3[tex]log_{2}[/tex] (2x) = 3

[tex]log_{2}[/tex] (2x)³ = 3

(2x)³ = 2³

8x³ = 8 ( divide both sides by 8 )

x³ = 1 ( take the cube root of both sides )

x = 1

Answer:

x=1 is the correct answer

Step-by-step explanation:

got it right on edge!!!!

Find the value of sin(θ) for an angle theta in standard position with a terminal ray that passes through the point (4,-3)

Answers

Answer:

[tex]\dfrac{-3}{5}[/tex]

Step-by-step explanation:

It is given that a terminal ray that passes through the point (4,-3).

x = 4

y = -3

Using Pythagoras theorem, the value of hypotenuse is

[tex]r=\sqrt{x^2+y^2}[/tex]  

[tex]r=\sqrt{(-3)^2+(4)^2}[/tex]  

[tex]r=\sqrt{9+16}[/tex]  

[tex]r=\sqrt{25}[/tex]  

[tex]r=5[/tex]

We, know that

[tex]\sin \theta = \dfrac{y}{r}[/tex]

[tex]\sin \theta = \dfrac{-3}{5}[/tex]

Therefore, the value of [tex]\sin \theta[/tex] is [tex]\dfrac{-3}{5}[/tex].

Answer:

Step-by-step explanation:

Does anyone know the answer

Answers

Solution: C

Explanation:

Use the cosine rule

A^2=B^2+C^2-2BCcos a

5^2=8^2+8^2-2×8×8cos a

cos a=(25-64-64)÷(-2×64)

a=36.419°

approx = 36

The graph represents this system of equations. A system of equations. y equals 2 x minus 4. y equals 1 minus 3 x. A coordinate grid with 2 lines. The first line passes through (0, 1) and (1, negative 2). The second line passes through (0, 1) and (1, negative 2). What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)

Answers

Answer:

(1,-2)

Step-by-step explanation

y = -3x + 1

y = 2x - 4

-3x + 1 = 2x - 4

-5x + 1 = -4

-5x = -5

x = 1

y= 2(1) - 4

y = 2 - 4

y = -2

(1,-2)

Answer:

1/2

Step-by-step explanation:

30 - 7p = -7 (p+6) -5

Answers

Answer:

I think it doesnt have solution.

Can anyone please help me with this?

Answers

Answer: 4

Step-by-step explanation:

Because there are two equal angles, this is an isoceles triangle. Line JP and HP are equal. To find the variable, write the equation which would be 3x-6=x+2. X is 4.

hope this helped:)

Answer: 4 AKA D

Step-by-step explanation:

Well to start off, we must first establish that line JP and line HP are equal because of the red ticks in the corner. So once we figured that out, then 3x-6 = x+2

»Next we add 6 to both side to make 3x = x+8

»Then we subtract x from both sides to equal 2x = 8

»Then we divide both sides by 2 which equals x=4

»So the final answer would be D. 4

Hope i helped

-lvr

jasper owns a small retail store as a sole proprietor. the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000. jasper uses the fifo method of inventory valuation. Which of the following statements are true?
a. jasper purchases more inventory during the year than sold during the same one year period.
b. jasper would have a higher net income
if he used the lifo method of inventory valuation instead of the fifo method
c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory
d. since the cost of the stores inventory items is increasing, jasper will have a greater cost of goods sold figure under the fifo than the lifo.
e. none of the above

Answers

Answer:

c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Step-by-step explanation:

First In First Out  FIFO is a type of inventory system in accounting, it literally implies that  the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :

FIFO will yield a lower cost of good sold

FIFO will yield a higher net income

FIFO will yield higher tax liability

FIFO will yield a higher inventory

From the information given:

the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.

What the statement implies is that:

jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Determine the angles of rotation. Please answer!!!

Answers

Answer:

total rotation = 90 clockwise.

Step-by-step explanation:

Rotation from B to negative y-axis = 45 degrees because B(-3,-3)

Rotation from negative y-axis to B' = 45 degrees because B(-3,3)

Therefore total rotation = 45+45 = 90 clockwise.

A university offers a Calculus class, a Sociology class, and a Spanish class. Youare given data below about a group of students who have all taken at least one ofthe three classes.(iv)(i) Group 1 contains 187 students. Of these, 61 students have taken Calculus,78 have taken Sociology, and 72 have taken Spanish. 15 have taken bothCalculus and Sociology, 20 have taken both Calculus and Spanish, and 13have taken both Sociology and Spanish. How many students in Calculushave taken all three classes?\

Answers

Let A, B, and C denote the sets of students that have taken calculus, sociology, and Spanish, respectively.

We're given that [tex]A\cup B\cup C[/tex] consists of 187 students.

We want to find the size of [tex]A\cap B\cap C[/tex], given that

A has 61 students;

• B has 78;

• C has 72;

• [tex]A\cap B[/tex] has 15;

• [tex]A\cap C[/tex] has 20; and

• [tex]B\cap C[/tex] has 13.

Using the inclusion/exclusion principle, we have

[tex]|A\cup B\cup C|=|A|+|B|+|C|-(|A\cap B|+|A\cap C|+|B\cap C|)+|A\cap B\cap C|[/tex]

where |X| denotes the size of the set X. Plug in all the known sizes:

[tex]187=61+78+72-(15+20+13)+|A\cap B\cap C|[/tex]

[tex]\implies|A\cap B\cap C|=24[/tex]

so 24 students have taken all three classes.

Other Questions
Geraths Windows manufactures and sells custom storm windows for three season porches and also provides installation service for the windows. The installation process does not involve changes in the windows, so this service can be performed by other vendors. Geraths enters into the following contract on July 1, 2014, with a local homeowner. The customer purchases windows for a price of $2,690 and chooses Geraths to do the installation. Geraths charges the same price for the windows irrespective of whether it does the installation or not. The price of the installation service is estimated to have a fair value of $590. The customer pays Geraths $2,300 (which equals the fair value of the windows, which have a cost of $1,700) upon delivery and the remaining balance upon installation of the windows. The windows are delivered on September 1, 2014, Geraths completes installation on October 15, 2014, and the customer pays the balance due. Prepare the journal entries for Geraths in 2014. (Round answers to 0 decimal places, e.g. 5,275.) ) Recall what you know about crossing over, independent assortment, and random joining of sex cells during sexual reproduction. Please help me with this question! I will give the brainliest to the one with the right answer!!! What can a person do to limit exposure to X-rays?wear sunblockavoid cigarette smokewear a protective vest avoid chemicals Un avin volaba a 14.800 metros de altura. Primero baj 23.000 decmetros y luego baj 54 Hectmetros ms A qu altura, en Kilmetros, vuela ahora? AYUDA What is the most effective way for a person to communicate that he or she wants to practice abstinence? Say no firmly. Avoid making eye contact. Refuse to go on a date with someone. Mention that ones parents will be home soon. If f(x) = square root of x+3, what is the equation for f1(x)? f1(x) = x2 - 3 f1(x) = x2 + 3 f1(x) = (x - 3) 2 f1(x) = (x + 3) 2 Convert the following numbers of calories orkilocalories into joules or kilojoules.a. 7845 calb. 4.55 x 104 calC. 62.142 kcald. 43,024 cal A staining solution bottle in a medical laboratory contains 30 ounces (oz). A blood staining test requires 3/4 oz of solution. A tissue staining test requires 1/2 oz of solution. If four blood tests and five tissue tests are performed, how many oz of solution are left in the bottle g Exodus Limousine Company has $1,000 par value bonds outstanding at 15 percent interest. The bonds will mature in 30 years. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. Compute the current price of the bonds if the percent yield to maturity is 1. How many PWM generator blocks are there in LM3S1968? What are they? 2. How many independent PWM outputs can be generated on an LM3S1968? 3. List at least two applications for PWM. 4. What does NVIC in a timer stand for? Explain its significance. 5. Where does the counter/timer derive its time period from? 6. Draw the waveforms (square wave) with duty cycles (on) 25%, 50%, 75%.One of the purpose of the lab is to generate a PWM signal in one of the ports using systick timer. a. Given a signal with 1 KHz, find out the time period of each cycle. Find out the time span of the high signal and the low signal given 10%, 20%, 30% and 90% duty cycles. b. We would like to generate a signal with a certain frequency (ex. 100 Hz, 1 KHz, etc.) and certain duty cycle (10%, 20%, etc.), find out the values we need to load into the timer register? Given that the XTAL = 8 MHz. find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE PLEASE HELP ME! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:) What the correct answer do not want the wrong answer please 1. The perimeter of a rectangle is 230 cm. If the length of the rectangle is 70 cm, find its breadth and area. Find an equation of the line that passes through the point (2, 1) andis perpendicular to the line x + 2y=-2 what is the value of x if e^3+6+8 Please answer this in two minutes CO! Oher...9pressure14.largeThe barometric height in a town is 65cmHg. Given that the standard atmospheric pressureis 76cmHg and density of mercury is 13600kg/m", determine the altitude of the town. (Density of(3mks)air is 1.25kg/m). Mariam went to a shop and bought 8 snickers, 3 galaxy and 3 kitkat. She payed 8 BD totally. Her friend Zainab bought 4 snicker, 9 galaxy and 4 kitkat. She payed 10.9BD. Is it possible to know the cost of each chocolate mathematically? If yes how. If not why?