In how many ways can the numbers 3, 4, 5, 6, 7, 8, 9, and 10 be divided into two sets A and B such that the sum of the numbers in B is three times the sum of the numbers in A?

Answers

Answer 1

Answer:

4 ways

Step-by-step explanation:

3+4+5+6+7+8+9+10=52

1/4×52=13

13×3=39

3+10=13

4+9=13

5+8=13

6+7=13

so there are 4 ways to divide in two parts.

1.

A={3,10}

B={4,5,6,7,8,9}

2.

A={4,9}

B={3,5,6,7,8,10}

3.

A={5,8}

B={3,4,6,7,9,10}

4.

A={6,7}

B={3,4,5,8,9,10}


Related Questions

Katie feeds her cat, Elmer, 2/3 of a cup of food each day. She buys a bag of cat food that contains 18 cups of dry
food. How many days will that bag of cat food last?

Answers

Answer:

27

Step-by-step explanation:

Set up a proportion.

1 day / (2/3 cup) = x/ 18 cups            Cross Multiply

1 day * 18 cups = 2/3 cup * x            Multiply both sides by 3

1 day * 18 cups * 3 = 2x

54 day cups = 2x cups                    Divide by 2

54 day cups/2 cups = x

27 days (The cups cancel)

Answer:

27 days it will last

Step-by-step explanation:

rohit has two pieces of ribbon pices one 20cm long and other 65 cm long .he wants to cut them into smaller pices of equal length for craft project in such a way thaty no ribbon is left.


Answers

U must never chase the man

Kaelyn used 2
1
5
liters of cola to completely fill 2 bottles. If the bottles are all the same size, how many liters of cola does each bottle hold?.....help

Answers

Answer:

107.5

Step-by-step explanation:

7.5 litters I think

Jennifer is buying a new dress for the school dance. The dress is marked 34.50$ and there is a sales tax of 6 1/2% what is the tax that jennifer must pay

Answers

100%=$34,50
1%=0,345
6,5*0,345=$2,2425

Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?

Answers

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125

A fishing boat has snagged a fish and want to know the depth of the fish. If the there is
18 meters of fishing line out and the angle of depression is 24º, how deep is the fish?
Round the nearest tenth of a meter.

Answers

7.3 meters

Step-by-step explanation:

hypotenuse = 18

angle depression = 24 degrees

missing side = opposite, x

since this has opposite and the hypotenuse were going to use sin

sin(24 degrees) = .40673664307

multiply .40673664307 by the length (18) = 7.32125957526 rounded down =7.3 meters

The depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

A fishing boat has snagged a fish and wants to know the depth of the fish. If there are 18 meters of fishing line out and the angle of depression is 24º

We can draw a right-angle triangle:

From the right-angle triangle:

Let x be the depth of the fish.

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Applying sin ratio:

sin24 = x/18

x = 18sin24

x = 7.32 meters ≈ 7.3 meters

Thus, the depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost

Answers

Answer:

0.45 cents

Step-by-step explanation:

We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.

2.70 ÷ 6 = 0.45

Therefore each pencil costs $0.45

I hope this helps, have a great day! :)

Ok so I need help ASAP

Answers

Answer:

S'(-6, 3); T'(-6, 4); U'(4, 4); V'(4, 3)

Step-by-step explanation:

S(-4, 7)

T(-4, 8)

U(6, 8)

V(6, 7)

(x - 2, y - 4)

S'(-4 - 2, 7 - 4)

S'(-6, 3)

T'(-4 - 2, 8 - 4)

T'(-6, 4)

U'(6 - 2, 8 - 4)

U'(4, 4)

V'(6 - 2, 7 - 4)

V'(4, 3)

Help AsAp
i dont get It
:(

Answers

Answer:

(0.0)

(1,2.75)

A line that goes through the origin represents a proportional relationship.  Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.

Answer:

(0.0)

(1,2.75)

A line that goes through the origin represents a proportional relationship.  Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.

Step-by-step explanation Hi angry pomerian

Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.​

Answers

Answer:

Yes

Step-by-step explanation:

8/10 can be simplified to become 3/4

Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is x +
0.2x.
Which expression is equivalent and why?
O A. (0.2) because the cost of the haircut can be factored out.
B. 1.02x because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
C. 1.2x because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x because adding $20 to the haircut is the same as multiplying
the cost by 1.2.

Answers

Answer:

it is c

Step-by-step explanation:

Answer:C.

Step-by-step explanation:

Ape x

Solve for t in the equation

Answers

Answer:

t=1/5=0.2

Step-by-step explanation:

(5t+3)/4=1

5t+3=4

5t=1

t=1/5=0.2

Answer:

1/5

Step-by-step explanation:

5t+3/4=1

5t+3=1*4

5t+3=4

5t=4-3

5t=1

t=1/5

Help me
in this question

Answers

hello

Step-by-step explanation:

paano nga Ito???

1 point
Juan got 1603 as the sum of 80.1 and 802. Where did he make his
mistake? *

Answers

Answer:

882.1

Step-by-step explanation:

The Sum means addition if he got this answer he most likely multiplied those two numbers because he thought of multiplication Sum is just purely addition nothing else

La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico ​

Answers

Answer:

No hablo espanol.

puedes escribir en ingles

Step-by-step explanation:

Increase £200 by 25%

ill give u brainlist

Answers

Answer:

250

Step-by-step explanation:

First we need to find the 25% of £200

200 × 25 ÷ 100 = 50

200 + 50 = 250

This is just a different way of doing it:

Answer: 250

Explanation: 200 x 0.25 = 50 200 + 50 =250

Please help.
Solve:
n/2 - 10=6

((Show work))

*Sorry I forgot how to do this, and please answer this correctly*

Answers

Answer:

32

Step-by-step explanation:

(n/2) − 10 = 6

Add 10 to both sides.

n/2 = 16

Multiply both sides by 2.

n = 32

Answer:

n=32

Step-by-step explanation:

n/2 - 10=6

add 10 on both side

n/2 +10-10=6+10

n/2=16

multiply both side by 2

n/2×2=16×2

n=32

What is an equation of the line that passes through the points (-5, 1)(−5,1) and (5, 3)(5,3)?

Answers

Answer:

x=-5 i think

Step-by-step explanation:

Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?

Answers

Answer:

Step-by-step explanation:

Let's do an example.

60:90:100

100 plus 90 plus 60 is 250

ben gets 90 of that 250

or 9/25.

I need someone to teach me the tricks of linear equation​

Answers

Answer:

of what exactly and thanks for the points

mplify the expression:
| 5q + 84 - 94 + 84

Answers

Answer:

5q+74

Step-by-step explanation:

84-94 first which equals -10

then add that by 84 which equals 74

lastly just bring the 5q and 74 together making your expression

Prognogg
Zoe found 13 large
seashells at the beach.
Evan found 12 and Layla
found 9. If they share them
equally, how many will
each get?

Answers

13+12+9= 34
34%3= 11.3

7x - 4 = 24. I need this solved? I don't know what they want. ​

Answers

Answer:

=4

Step-by-step explanation:

Put it in order yes or no?and how do yk if it is or not

Answers

9514 1404 393

Answer:

  yes, yes, no, no

Step-by-step explanation:

An equation is linear if no term has a variable with an exponent other than 0 or 1. There can be no products of variables.

The equations with terms x³ or x² will not be linear.

(a, b) linear (yes)

(c, d) not linear (no)

Yes yes no no, I believe

I NEED HELP this is way to hard y’all are smarttr

Answers

Answer:

a) 20 yd

b) 10 ft

Step-by-step explanation:

a) 80/4 = 20

b) spare root of 100 = 10

The table shows the number of tacos that Taco Bus sold in 4 months.


Tacos Sold
May
9,325
June
12,832
July
20,005
August
8,465

Part A
Which statements about the table are correct? Select all that apply.
A.


More tacos were sold in June and August combined than in July.
B.


The Taco Bus sold 8,173 more tacos in July than in June.
C.


More tacos were sold in July and August combined than in May and June combined.
D.


In the 4 months, the Taco Bus sold about 500,000 tacos in all.
E.


There were 22,157 tacos sold in May and June combined.
Part B
How many more tacos were sold in July than in May and August combined? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

A: Correct

June + August > July

12,832 + 8,465 > 20,005

21,297 > 20,005

B: Wrong

July = June + 8,173

20,005 = 12,832 + 8,173

20,005 ≠ 21005

C: Correct

July + August > May + June

20,005 + 8,465 > 9,325 + 12,832

28470 > 22157

D: Wrong

9,325 +12,832 +20,005 + 8,465 = 50627

E: Correct

May + June = 22,157

9,325 + 12,832 = 22,157

22,157 = 22,157

Part B: 2215

July - May + August = ?

20,005 - 9,325 + 8,465 = ?

20,005 - 17790 = 2215

combine like terms -3.6-1.9t+1.2+5.1t

Answers

Combined terms: 3.2t - 2.4

please help i will give brainliest

Answers

-1 I think but okay................

Six bags of Takis costs $13.50. Five bags of Takis costs $10. Which has
the lower unit price? *
O Six bags
O Five bags

Answers

Answer:

the correct answer is 5 bags

Answer:

Five bags

Step-by-step explanation:

13.50$ — unit price is 2.25$

10$ — unit price is 2$

Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?

Answers

Answer:

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Step-by-step explanation:

Given that :

Let

Bruno's age = x

Mothers age = 8 + 2x

Father's age = 8 + 2x + 3 = 2x + 11

x + 8 + 2x + 2x + 11 = 94

5x + 19 = 94

5x = 75

x = 75 /5

x = 15

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Other Questions
Dillon pays x dollars to get a haircut. He gives the stylist a20% tip. The expression representing his total cost is x +0.2x.Which expression is equivalent and why?O A. (0.2) because the cost of the haircut can be factored out.B. 1.02x because adding 20% to the cost of the haircut is the sameas multiplying the cost by 1.02.C. 1.2x because adding 20% to the cost of the haircut is the same asmultiplying the cost by 1.2.D. 1.2x because adding $20 to the haircut is the same as multiplyingthe cost by 1.2. please help me, answer all 4 and ill give 5 stars, like, and brainliest~ There are four different types of representational art. What are the names of all four types? Also, choose one of the four to explain. What does it mean and what would it look like?~ What is abstract art? Can you think of an example of an abstract artist?Please give a description of pointillism. Include the famous example of pointillism mentioned in the unit and explain what that piece looks like.~ How would you explain surrealism to someone who had never seen it before? Please include the example of surrealism from the unit in your explanation.~ The Russian artist Wassily Kandinsky believed that color could show emotions. Please fill in the emotions that he believed each color showed. HELP ASAP PLEASEE!!!The United states, in congress assembled, shall neverengage in a war... nor enter into any treaties or alliances,nor coin money... nor borrow money on the credit of theunited states, nor appropriate money, nor agree upon thenumber of vessels of war to be built or purchased, or thenumber of land or sea forces to be raised, nor appoint acommander in chief of the army or navy, unless ninestates assent (approve) to the same, nor shall a questionon any other point, except for adjourning from day to day,be determined, unless by the votes of a majority of theunited states in congress assembled.?Summarize this paragraph please!! i will give 100 points and a brainlyest and 5 stars plz plz plz help pleas help i am have so so so mutch truble Cumulative Writing Task DirectionsThe graves and remains of colonial settlers carry a message to the people of today. They remind us not to forget their lives and accomplishmentsand not to lose our connection to the past. A broken tooth, a fractured bone, an arthritic back, and strands of brown hairall of them whisper: Rest with me for a moment or two. I have a story to tell. These tales, written only in bone, await those with the patience to find them. --Sally Walker from page 134 of Written in BoneThe idea that forensic anthropologists explore bones to tell the stories of the past is developed throughout Written in Bone. What is another central idea of the text? How are both ideas developed over the course of the text?To answer these questions:Determine another central idea of the text.Examine Written in Bone to determine how each central idea is developed.Locate evidence to support how each central idea is developed.Write an essay with logical reasoning and relevant evidence. Be sure to use proper grammar, conventions, spelling, and grade-appropriate words and phrases. Cite several pieces of textual evidence, including direct quotations and parenthetical citations. I need answers ASAPMom was analyzing her familys monthly budget. The monthly cost at the grocery store is $2,600. Sixty five percent of this amount was for grocery items (food). How much was spent on non grocery items at the grocery store?Answer it with the equation and answer Confederate General James Longstreet ___________________. a) has no statues dedicated to him in the South because he joined the Republican Party after the Civil War b) betrayed the Confederate cause during the Civil War by joining the U.S. Army c) was an incompetent military leader who almost single-handily allowed Texas to fall into Union hands d) has numerous statues dedicated to him across the South even though he died in the first battle of the Civil War What are the primary of water pollution Hi guys. May you do a Spanish check to make sure the words in the drop down menu match the context? (ser vs. estar)TIA :) At 9 oclock in the morning, the temperature was 29 Fahrenheit it dropped 5 Fahrenheit each hour what was the temperature at 4 oclock in the afternoon? Jennifer is buying a new dress for the school dance. The dress is marked 34.50$ and there is a sales tax of 6 1/2% what is the tax that jennifer must pay explain why the reaction between lead (II) nitrate and concentrated sulphuric (VI) acid starts and stops immediately? Why did Quakers support settlement of freed slaves in Africa?O A. They wanted to keep freemen away from slaves.B. They felt freemen were taking jobs from whites.C. They gained wealth from the transport of freemen.D. They believed it would result in a better life for freemen. Brunos mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member? Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get? I need help. Thanks! What is an advantage of renting a place to live? please help its due in 2 hours time will give all my points"Explain how the development of money over time has helped to improve the way in which monetary transactions are conducted" 6 MARK QUESTION WILL MARK BRAINLIEST HURRY!!! "Don't listen to him. He is wrong. What he did is enough evidence." Discuss this statement inthe light of critical thinking. At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three different directions. As a result, three forces act on the ball, F1, F2, and F3. The magnitudes of F1 and F2 are F1=50.0N and F2=90.0N. F1 acts under the angle of 60degrees with respect to the x axis and F2 is directed along the x-axis. Find the magnitude and direction of F3 such that the resultant force acting on the ball is zero.