PROBLEM 1
Peter has many socks, all the same except that they are in three different colours. He is leaving to catch an early train to go on a business trip, and he does not want to wake his wife, so he packs in the
dark. He needs eleven pairs of socks, each sock in each pair the same colour. How many socks must he take from his drawer to be sure of achieving this?

Answers

Answer 1

Answer:

24 socks

Step-by-step explanation:

The given parameters are;

The number of different colors of socks = 3

Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario

After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table

Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11

Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.

PROBLEM 1Peter Has Many Socks, All The Same Except That They Are In Three Different Colours. He Is Leaving

Related Questions

what is 6= -4+z what is the answer to that question​

Answers

Answer:

z=10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=z−4

Step 2: Flip the equation.

z−4=6

Step 3: Add 4 to both sides.

z−4+4=6+4

z=10

Answer:

z is 10

Step-by-step explanation:

Move the terms, Calculate, Change the signs

idk how to do this please help 1/5 + 2/15 =

Answers

Answer:

2/3

Step-by-step explanation:

you can turn 1/5 into 3/15

3/15 + 2/15 = 5/15

5/15 = 2/3

Multiply 1/5 by 3 so you can get a common denominator of 15, your new fraction will know me 3/15. then add 3/15 and 2/15 to get 5/15, Then you can reduce 5/15 to get 2/3

I hope this helped have a great day!

whats the slope of this graph​

Answers

The answer is 3/2 rise over run

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).

Answers

Answer:

4x + 1

Step-by-step explanation:

Multiply f + g by x because f + g is in parenthesis:

f(x) + g(x)

Then implement equation #1 for f(x) into our equation:

3x - 1 + g(x)

Then implement the other equation for g(x) into our equation:

3x - 1 + x + 2

Then switch the positions of -1 and +x:

3x + x - 1 + 2

Simmplify:

4x + 1

Pls consider giving my answer the Brainliest! Because it would help and mean a lot! ; )

The money earned varies directly to how many hours you work. Working 12 hours you earn $102. If Josue worked 8 hours, how much would he earn?​

Answers

Answer:

about 94

Step-by-step explanation:

All I did was subtract then added I multiplied rounded then dot my answer

I NEED HELP ASAP.

A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?​

Answers

Answer:

8,520,000

Step-by-step explanation:

hope it help

Step-by-step explanation:

factory manufactures 71*10^5 bottles of ketchup per month.

In a year:

71*10^5*12=71*12*10^5=852*10^5=852*100000=

85200000 bottles of ketchup in a year.

4. If your bill at a restaurant is $30 and you want to tip 20%, how much
should you tip. Enter the number only. Round to the nearest cent.

Answers

Answer: 6

Step-by-step explanation:

30 divided by 10 = 3 (aka 10%)

3 x 2 = 6 (20%)

Answer: Tip Total:$ 6.00 Total (Bill + Tip):$ 36.00

Step-by-step explanation: Yes you should tip

Ashley practiced the piano for 41
minutes. She practiced 13 minutes
I less than her brother did. Write and
solve an equation to determine how
long her brother practiced the piano.

Answers

Answer:

41+13=54 so Ashleys brother practiced the piano for 51 minutes

Step-by-step explanation:

you earn $25 for washing 5 cars how much do you earn for washing 4 cars

Answers

You will earn $20 washing 4 cars

Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza

Answers

This question is incomplete because part of the information is missing; here is the complete question:

Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.

The answer to this question is $10.50

Explanation:

The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:

1. In an equation there is always an equality symbol = and mathematical expressions on both sides.

2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.

3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)

4. Solve the equation

5 (12) + 8x = 144 -Simplify using multiplication

60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol

8x = 144 - 60

8x = 84

x = 84 ÷ 8

x = 10.5

PLEASE HELP! A store receives a shipment of boxes. Each box measures 18 in. wide, 28} in. long, and 14 in. high. What is the volume of each box? ​

Answers

Answer:

7056

Step-by-step explanation:

the volume of the box is 7056.  

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Answers

You need to include the question not just the explanation.

PLEASE HELP
Write a word problem with the numbers -3 and 6 that result in -9

Answers

Answer:

6+-3 =-9

Step-by-step explanation:

so if u add a positive number to a negative number the whole answer  is a negative number i

hey i need some help with this​

Answers

Answer:

82 degrees

Step-by-step explanation:

if lines m and n are parallel then the two angles are equivalent. The angles on the opposite side are 98 degrees.

Simplify the following expression:
69 + 12 - 49 + 5

Answers

Answer:

86-49. 86-49= 37

Step-by-step explanation:

you add 69+5+12=86

then you subtract 49

and get 37

it should be 37..... min

Which expression is equivalent?

- 5(2x -3y +4)

Answers

Answer:

A

Step-by-step explanation:

this half my grade i cant fail help

Answers

Let's see what to do buddy....

[tex]T = b + \frac{d}{2f} \\ [/tex]

Subtract sides b

[tex]T - b = b - b + \frac{d}{2f} \\ [/tex]

Simplification

[tex]T - b = \frac{d}{2f} \\ [/tex]

Multiply sides by 2f

[tex](T - b)(2f) = d[/tex]

So ;

[tex]d =( T - b) \times (2f)[/tex]

We're done but i wanna go one step more...

[tex]d = T \times 2f - b \times 2f[/tex]

[tex]d = 2Tf - 2bf[/tex]

_________________________________

Hope helped buddy....♥️♥️♥️♥️♥️

Good luck :)

Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?

Answers

show the answers you have to choose from

P(A|B) = 1/3

What is Venn diagram?

"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "

What is probability?

"For any experiment, a probability denotes the possibility of outcome for any event."

The formula to calculate the probability of an event:

For event A, the probability of event A is,

P(A) = number of favorable outcomes/ total umber of outcomes

What is conditional probability?

"Conditional probability is the probability of an event occurring given that another event has already occurred."

The formula to calculate the conditional probability:

P(A|B) = P(A∩B)÷P(B)

For given diagram:

Let A represents a set of students playing Basketball and B represents a set of students playing Soccer

So, A = {Fran, Ian, Juan, Ella}

⇒ n(A) = 4

B = {Mickey, Marcus, Ella}

⇒ n(B) = 3

(A ∩ B) = {Ella}

⇒ n(A ∩ B) = 1

sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}

⇒ n(S) = 10

Now, we calculate probability of B and A∩B.

P(B) = n(B)/n(S)

P(B) = 3/10

Also, P(A∩B) = n(A∩B) / n(S)

P(A∩B) = 1/10

So, the required probability would be,

⇒ P(A|B) = P(A∩B) ÷ P(B)

⇒ P(A|B) = (1/10) ÷ (3/10)

P(A|B) = 1/3

Therefore, P(A|B) = 1/3

Learn more about probability here:

https://brainly.com/question/12478394

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Select each inequality that 0 is a solution to. Q No. 2



-3(y - 1) > 3


2y - 4 0


y + 8 < 2y + 8

Answers

Answer:

Can you reformat?

So far, 0 is a solution to none of these.

Answer:

1. nope

2. not sure

3. nope

Step-by-step explanation:

1.

-3(y - 1) > 3

-3y + 3 > 3

-3y > 0

y > 0

0 is not a solution since 0 is not greater than 0

2.

I'm not sure what this question means, is there a [tex]\geq or \leq[/tex] between the 4 and the 0?

3.

y + 8 < 2y + 8

8 < 2y - y + 8

8 - 8 < y

0 < y

0 is not a solution because 0 is not greater than 0

im confused- I prolly got something wrong.

-1/2 + 3/4 - 3/8 what is it?

Answers

Answer:

-1/8

Step-by-step explanation:

-1/2 + 3/4 - 3/8 = -1/8

Can I have Brainliest please?

Answer:

[tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

So first find the greatest common factor of the denominators

GCF of 2 , 4 and 8 is 8

Then :

[tex]\frac{-4 + 6 - 3}{8}[/tex]

So you do this to get the above answer:

8 divided by the denominator times the numerator.

You still need to work it out

-4 + 6 = 2

[tex]\frac{2- 3}{8}[/tex]

2 - 3 is -1

Thus the answer is [tex]\frac{-1}{8}[/tex]

HOPE THIS HELPED

Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST​

Answers

Answer:

Step-by-step explanation:

1. true

2. true

3. false ( pie chart )

4. true

5. false ( y axis )

6. true

7. true

Hope this helps

plz mark as brainliest!!!!!!

Can someone provide an explanation with this and solve it?

Answers

Answer:

I believe 600

Step-by-step explanation:

20% = 0.2

so multiply the 500 by 0.2

500×0.2= 100

then add 100 to the 500 because its an increase

500+100=600

and then you have your answer

600

To prepare for a bake-off, Dan used 0.68 kilogram of flour each day for 4 weeks. How many grams did Dan use in those 4 weeks? (1 kg = 1,000 g) this question is from Zearn and I've been doing the same one for a week now :3 and no im not in highschool it put that for some reason

Answers

Answer:

19040 grams

Step-by-step explanation:

Dan used the amount of flour each day = 0.68 kg

He used the flour for 4 weeks.

So the number of days taken by Dan = 4 × 7 = 28 days

Now amount of flour used in 28 days = Flour used in a day × Number of days

= 0.68 × 28

= 19.04 kg

Since 1 kg = 1000 grams

Therefore, 19.04 kg = 1000 × 19.04 = 19040 grams

Dan used 19040 grams of flour in 4 weeks.

The number of grams of flour that was used is 19040 grams.

Since Dan used 0.68 kilogram of flour each day for 4 weeks, this means that the flours used will be:

= 0.68 × 4

= 2.72kg

Therefore, 2.72kg will be converted to grams and this will be:

= 2.72 × 1000 = 2720 grams

Now, we'll multiply the value by 7 since there are 7 days in a week. This will be:

= 2720 × 7 = 19040

Read related link on:

https://brainly.com/question/17025675

Hi, i would really appreciate if someone helped me out!

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $11 and a pie costs $10. In one day, the store sold 11 baked goods for a total of $117. How many cakes did they sell?

Answers

Answer:

7cakes and 4 pies

Step-by-step explanation:

can someone help me with this?

Answers

Answer:

the answer is 200

Step-by-step explanation:

A student organization sells shirts to raise money for events and activities. The shirts are printed with the organization's logo and the total costs are $100 plus $7 for each shirt, x. The students sell the shirts for $15 each.


Write an expression for the cost AND an expression for the revenue (money earned). Then evaluate for the specified number of shirts.




Solution

Write the expression in the order of the problem.


Cost Expression: Answer

(View hint)


Revenue (Money Earned) Expression: Answer

(View hint)


How much would it cost to make 25 shirts?


$ Answer


How much would students earn if they sold 25 shirts?


$ Answer


Will students make more money than they spent if they make and sell exactly 25 shirts?

Answers

Answer:

The answer is below

Step-by-step explanation:

The total cost for producing x number of shirts = 100 + 7x

The price of each shirt is $15, therefore:

Revenue = price per shirt × number of shirts = 15 × x = 15x

Revenue = 15x

The cost of making 25 shirts is given as:

Cost = 100 + 7x = 100 + 7(25) = $275

The money earned from producing 25 shirts is given as:

Revenue = 15x = 15(25) = $375

Since the revenue is greater than cost, the students would make more money than they spent if they make and sell exactly 25 shirts

Mrs. mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per uniform. The second company she called charges $280 plus $30 per uniform. For how many uniforms will the cost from the first company be less expensive than the cost from the second company?

Answers

The correct answer is yes

PLZ HELP!! 50POINTS BRAINLYEST IF CORRECT ANSWER IF U GIVE BAD ANSWER OR JUST SOMTHING RANDOM OR SAY HOLD UP ONE SEC I WILL REPORT I REALLY NEED THIS TO BRONG UP MY GRADE WILL GIVE U 50 more if u want I have 900 points

Answers

-17 8/9= -6 4/9-3 2/9- 8 2/9
-15.1= -12.48-(-2.99)-5.62
-19 8/9= -19 2/9-4 1/9-(-3 4/9)
-201.65= -353.92-(-283.56)-131.29
74= 83 1/5-108 2/5-(-99 1/5)
(not in order) hope this helps:)

Answer:

see below

Step-by-step explanation:

-6 4/9 - 3 2/9 - 8 2/9

      = -6 4/9 - 3 2/9 = -9 2/3

      = -9 2/3 - 8 2/9

      = -17 8/9

-12.48 - (-2.99) - 5.62

      = -12.48 + 2.99 + 5.62

      = -15.11

-19 2/9 - 4 1/9 - ( -3 4/9)

      = -173/9 - 37/9 + 31/9

      = -179/9

      = -19 8/9

-353.92 - (-283.56) - 131.29

      = -353.92 + 283.56 - 131.29

      = - 201.65

83 1/5 - 108 2/5 - ( - 99 1/5)

      = 416 - 542 + 496

                       5

      = 74

HELP ASAP! PLEASE!

What relationship between the population of Ohio and the number of years displayed in the scatter plot

Answers

Answer:

The number line has to be shown in a picture if you want more specific instructions from others.

Step-by-step explanation:

Show a picture

hayley jogs 3/4 miles in 1/6 of an hour
maxwell jogs 2/3 miles in 2/15 who is faster and how much faster

Answers

Maxwell is faster by 30 seconds. Max jogs 1 mile in 12 minutes while Hayley jogs 1 mile in 12.5 minutes. 1/6 of an hour is 10 minutes, 2/15 is 8 minutes. Find how long it takes each person to complete one mile (meaning find a common point of comparison) to determine who is faster

Maxwell is faster and faster by 0.5 miles/hour.

Given that, Hayley jogs 3/4 miles in 1/6 of an hour and Maxwell jogs 2/3 miles in 2/15.

We need to find who is faster and how much faster.

What is an average speed?

An average speed is the total distance travelled divided by the total time travelled. The formula to find the average speed is Average speed = Total distance / Total time.

Now speed of Hayley= 3/4 ÷ 1/6

=3/4 × 6=9/2

=4.5 miles/hour

Speed of Maxwell= 2/3 ÷ 2/15

= 2/3 × 15/2 = 5 miles/hour

The difference in the speed =5-4.5=0.5 miles/hour

Therefore, Maxwell is faster and faster by 0.5 miles/hour.

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Other Questions
Write an equation to represent the following situation: "60% of what number is 72". Aswer asap Give two importance of hashing Observe the nature changing around your home. You can observe plants, animals, and parts of your actual home as you begin to notice changes in matter. Collect data for two examples of changes in matter. Use the Changes in Matter observation questions to determine if your examples are physical or chemical changes.Your answer should include two examples, the types of changes observed, and evidence of how the examples were formed. You can use this format:Example 1:Type of Change:Evidence: HELPPPPPPGiving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.my grades are A's and B's and one C. my grade in her class is a B!! help me!!! would you belive that the genres of viewing can impact your study habits?in what way? Can your body store water? Evaluate the function f(x) at the given numbers (correct to six decimal places).f(x) = x2 2xx2 4,x = 2.1, 2.05, 2.01, 2.001, 2.0001,1.9, 1.95, 1.99, 1.999, 1.9999x f(x)2.1 0.512195Correct: Your answer is correct.2.05 0.5062Incorrect: Your answer is incorrect.2.01 0.5012Incorrect: Your answer is incorrect.2.001 0.5000Incorrect: Your answer is incorrect.2.0001 0.500012Correct: Your answer is correct.x f(x)1.9 0.487179Correct: Your answer is correct.1.95 0.493670Incorrect: Your answer is incorrect.1.99 0.498746Incorrect: Your answer is incorrect.1.999 0.499874Incorrect: Your answer is incorrect.1.9999 0.499987Correct: Your answer is correct. In one problem, he gave her a store receipt that listed 72 identical items, each thesame price, for a total cost of$ * 67.9*Bryn's Grandpa covered the first and last digits of the total price on the receiptwith stars.Determine the values of the digits that Bryn's Grandpa covered. Can someone explain the process to answer this?Graph the line that represents the equation 3y = 2x + 9Will Give Brainliest! Question 3A situation where the level of output scale and average costs are all rising is called The failure on the part of a police officer to accurately document in a report the reasons why an individual was stopped, questioned withouthaving been provided information regarding his constitutional rights, and subsequently arrested as a suspect in unnamed criminal activitywould violate which provisions of the Bill of Rights? 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One might think after reading the book that Alcott was a firm supporter of the traditional roles for women, which included getting married and raising a family.However, Alcott was not a typical woman.For one thing, she was raised in an unconventional family. Her father, a teacher, writer, and philosopher, held views that did not conform to most of American society. For example, he used the Alcott home as a station on the Underground Railroad for enslaved people who had run away. He also believed that his daughters should pursue their passions and develop their intelligence. Most Americans believed that a womans place was to be a wife and mother.Alcott was greatly influenced by her father. As she became older, she embraced the idea of equality for women. Where women were expected to be good housewives and depend on their husbands, Alcott believed that women were independent thinkers and could be self-supporting. She also refused to marry.Before the publication of Little Women, Alcott was already a published author, having written short stories and thrillers, which she called blood and thunder tales. These were all written under a different name, or pseudonym, to disguise the fact that she was a woman. She had also documented her experiences as a nurse during the Civil War in a fictional account called Hospital Sketches, published in 1863. This book was Alcotts first successful work.By 1867, Alcott had established herself as an author who could write on a variety of subjects. So her publisher, Thomas Niles, suggested that she write a girls book. At this time, there was not a lot of literature published for children. But Alcott was not interested, stating in her journal that she never liked girls or knew many, except my sisters.... Alcott also feared that writing a girls novel would be boring, especially in comparison to her earlier works.In the end, it was her father who decided the matter for her. When he approached Thomas Niles about publishing a book he had written, Niles consented, but only if Louisa would write the girls book. Louisa agreed and set to work. She sat at her writing desk, built by her father, and proceeded to complete the book in two and a half months.Alcott decided to write a story about the March family, to be based on her own family. The March sisters Jo, Beth, Meg, and Amy were modeled on Alcotts sisters, with Jo being most like Alcott herself. In the book, Jo is a talented, headstrong, aspiring writer, reluctant to commit to the idea of marriage or dependence on a man. Alcott used her journals to recall some of the familys experiences.Even after working on the first twelve chapters, she and Niles both thought that the novel was dull. Once the book was fully written, Alcott was nervous about whether readers would embrace this new work. However, much to her surprise, the book was a smashing success, selling thousands of copies. Alcott began receiving letters from a great number of fans. She was asked to speak throughout the country.All the attention made Alcott feel uncomfortable. She also did not like the way her readers, mostly young girls, demanded to know who the March sisters were going to marry. She wrote, Girls write to ask who the little women marry, as if that was the only end and aim of a womans life. Nevertheless, she responded to public demand and eventually wrote more about the March sisters in the novels Little Men and Jos Boys.The success of Little Women and other stories earned Alcott the financial independence she desired. But she was never as engaged in writing for young readers as she was in her thrillers from years before. 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There are two shippers: A and B. Both offer a two-day rate: A for $536, and B for $525. In addition, A offers a three-day rate of $464 and a nine-day rate of $416, and B offers a four-day rate of $459 and a seven-day rate of $436. Annual holding costs are 37 percent of unit price. Three hundred and ninety boxes are to be shipped, and each box has a price of $154. Which shipping alternative would you recommend? An 10.2-kg stone at the end of a steel (Young's modulus 2.0 x 10^11 N/m2) wire is being whirled in a circle at a constant tangentialspeed of 11.6 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 3.62 m long and has a radius of4.10 x 10^-3m. Find the strain in the wire. 1.5 x 104 : 2.5 x 10?