In how many ways can the numbers 3,4,5,6,7,8,9, and 10 b
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?

pls help quick! will mark brainliest!

Answers

Answer 1

Answer:

4 times

Step-by-step explanation:

Given that the sum of all the numbers => 3+4+5+6+7+8+9+10 = 52

And we are to divide it into two sets such that the sum of set B is three times the number of sum of set A => Sum B = 3 * Sum A

Hence Total sum = Sum B + Sum A

Total sum ÷ 4 = 52 ÷ 4 = 13.

Since Sum B = (3 * Sum A) => (3 * 13 ) = 39

Therefore Sum B = 39 and Sum A = 13

To divide them into two sets

Sum A = (10, 3) = 13: Sum B = ( 4, 5, 6, 7, 8, 9) = 39

Sum A = (9, 4) = 13: Sum B = (3, 5, 6, 7, 8, 10) = 39

Sum A = (8, 5) = 13: Sum B = (3, 4, 6, 7, 9, 10) = 39

Sum A = (7, 6) = 13: Sum B = (3, 4, 5, 8, 9, 10) = 39

Hence, the correct answer is 4 times


Related Questions

Determine whether the triangles are similar. If so, name the postulate or
theorem you used.

Answers

The answer is d..............

Molly and Jacob are meeting at the pool to go swimming. The pool is 3.22 kilometers from Molly's house and 2.81 kilometers from Jacob's house. How much farther does Molly live from the pool than Jacob? *

Answers

Answer:

cookie

Step-by-step explanation:

A dress is on sale for d dollars. The regular price is 3 times as much.

Janine has enough money to buy 2 dresses at the regular price.

How many dresses can Janine buy at the sale price?

A.
1 dress

B.
3 dresses

C.
6 dresses

D.
9 dresses

Answers

Answer:

6

Step-by-step explanation:

hope this helps, have a good day

HELP plz! and please explain! ty<3​

Answers

Answer:

6f

Step-by-step explanation:

Combining like terms is easy. Just think it like this: 4+3-1, and add the f on later. That is 6, and add the f on and you get 6f. It's like adding variables.

Hope this helps plz mark brainliest if correct :D

PLEASEEEEEEEE HELPPPP MEEEEE

Answers

I pretty sure it’s 350 profit but I’m not 100

0.03 × n = 0.018 what does n equal?
pls answer I give brainliest

Answers

Answer:

0.6

Step-by-step explanation:

To find the answer, do 0.018 divided by 0.03 which equals 0.6

Hope this helps you!!  :)

n= 0.6

Answer:n=0.6

Step-by-step explanation: you divide 0.03 on both sides which gives you the answer to n

******20 POINTS**********
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8
inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale of
the map. (There are 2.54 centimeters in an inch.)
A. 1 in to 1 mi
B. 1 cm to 1 km
C. 1 in to 10 mi
D. 1 4 to 100 mi
E. 1 cm to 200 km
F. 1 in to 100 mi
G. 1 cm to 1000 km

Answers

I believe c but don’t take my word for it at all I hope this somewhat helps

There is a spinner with 12 equal areas, numbered 1 through 12.. If the spinner is spun once, what is the probability that the result is a multiple of 3 or a multiple of 4

Answers

Answer:

[tex]\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given that, spinner has 12 equal areas, so there are 12 possibilities of occurrences i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Multiples of 3 are: {3, 6, 9, 12}

Multiples of 4 are: {4, 8, 12}

To find the multiple of 3 or 4, we need to find the union of the above two sets.

Multiples of 3 or 4: {3, 4, 6, 8, 9, 12}

Number of multiples of 3 or 4 = 6

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases are 6 and

Total number of cases are 12.

Therefore the required probability is:

[tex]P(\text{Multiple of 3 or 4}) = \dfrac{6}{12}\\P(\text{Multiple of 3 or 4}) = \bold{\dfrac{1}{2}}[/tex]

Two times the sum of nine and a number is the opposite of 9.

Answers

18 that question is confusing so I guessed sorry dude

Use trigonometric identities to solve each equation within the given domain.
a) –sin^2(x) = cos(2x) from [–π, π]
b) 3 tan(x) = 2 sin(2x) from [0, 2π)
c) sec(x) cos(3x) = 0 from [–pi/2,pi/2]
d) 1 – cos(x) = 2 – 2 sin^2(x) from (–π, π)
e) 4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

Answers

Answer:

A) X=pi/2 or X=-pi/2

B) X=pi/6 or X=-pi/6

C) X=pi/4 , 3pi/4, 5pi/4 and 7pi/4

D) X= 1-cos^2(x/2)

E) X= pi/3 +2pi N, 5pi/3+2pi N

Step-by-step explanation:

Don't even bother asking. :)

Tyler is going on a hiking trip. At the end of the first day he has 5,250 feet left to climb. He plans to climb 500 feet each day.
Write an explicit formula to model the situation.

Answers

Answer:500x=5,250

Step-by-step explanation:

He climbs 500 steps a day so the answer will be 500x=5250

A: There there are two pencils boxes in a desk for their own purposes in a drawer then total number of pencils in the drawer is more than 14 how many passes are in each drawer
B:
event is being built in the shape of a isosceles triangle the fence needs to be at least 14 yards long the length of the unequal sides of the triangle is 4 yards what is the length of each equal side

C: Sheyla is older than 14 years old. her brother Tom is 4 years old. Sheyla also has twin sisters, Diana and Briana. how old is each of the twin sisters.

D:a total of 14 students are being split into three teams team one has four students vs. students are split into two teams in three how many students are in each of two and three ​

Answers

Answer:

C

Step-by-step explanation:

I got it right

What is the total surface area, in square feet, of the net shown below? HELP ME I GIVE BRIANEST ASAP

Answers

Answer:

408square feet is total surface area of given figure

Step-by-step explanation:

area of two triangle=120square feet

area of 2 outer rectangle=208square feet

area of inner rectangle =80square feet

sum of all shape=120+208+80=408square feet

Solve for x: 2/5 (X-4) = 2x

Answers

Answer: x=0 or x=24 one of those !

Walter purchased a 2010 model sedan for $24,000. The dealership offered him a $199/month payment plan for 48 months, at the end of which the unpaid balance will be due. If the interest rate is 6%, find the total cost of this vehicle, including the balloon payment.​

Answers

Answer:

199x48 = 9552

24000-9552=14448

14448 x- 6% = 866.88

14448+866.88= 15314.88

The overall payment is 24000+6%

Step-by-step explanation:

The total cost of the vehicle is  $29760

What is Interest Rate ?

The % at which a loan is given or the % at which your investment will give return is the Interest Rate.

It is given that

Walter purchased a 2010 model sedan for $24,000.

The dealership offered him a $199/month payment plan for 48 months,

Principal = $24000

Rate = 6%

Time =48 months = 4 years

The Simple interest =

24000 * 6 * 4 / 100

Interest = $5760

The payment done in 48 moths is

199 * 48 = $9552

The balloon payment due at the end of 48 months is 24000 + 5760 - 9552 = $20208

The total cost of the vehicle is $ 24000+ 5760 = $29760.

To know more about Interest Rate

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HELP!!!!!!!!!! I don't have much time

Answers

Question is too far bring closer

Marking brainless!! Explain how to solve this problem.
-5x + 12 > 32

Answers

Answer:

x < - 4

Step-by-step explanation:

-5x + 12 > 32

      - 12 > - 12

-5x > 20

-5x/-5 < 20/-5

x < - 4

Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. Write the equation for the given situation in its simplest form. a y= 10x+2 b y=1/5x c y=2x+10 d y=5x

Answers

Answer:

y = 1/5x

Step-by-step explanation:

Here, we have a direct relationship between the distance from lightning and the time it takes to hear thunder

Let the distance from lightning be y and the time it takes to hear thunder be x

If k is the proportionality constant, then;

y = kx

Now, let’s calculate k , given x 10 seconds and y = 2 miles

2 = 10k

k = 2/10 = 1/5

So the equation for the given situation is;

y = 1/5x

the value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is?

Answers

Answer:

A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.

Let us see some example problems based on the above concept.

Example 1 :

Which value of x is the solution of the equation

(2/3) x + (1/2) = (5/6) ?

Solution :

(2/3) x + (1/2)  =  (5/6)

(2x/3)  + (1/2)  =  (5/6)

(4x + 3)/6  =  (5/6)

Multiply 6 on both sides

4x + 3  =  5

Subtract 3 on both sides

4x + 3 - 3  =  5 - 3

4x =  2

Divide by 4 on both sides

4x/4  =  2/4

x  =  1/2

Hence the value 1/2 will satisfy the above equation.

Example 2 :

Which value of x is the solution of the equation

(2/3) x + (x/6) = 5 ?

Solution :

(2x/3) + (x/6) = 5

(4x/6) + (x/6) = 5

(4x + x)/6  =  5

5x/6  =  5

Multiply by 6 on both sides

5x  =  5 (6)

5x  =  30

Divide by 5 on both sides

x  =  30/5  =  6

Hence the value 6 will satisfy the above equation.

Example 3 :

The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?

Solution :

From the above question, we come to know that we have to solve for x, that makes the statement true.

(2x/3) − 5  =  x/4

(2x - 15)/3  =  x/4

Multiply 3 on both sides

2x - 15  =  3x/4

Multiply by 4 on both sides

4(2x - 15)  =  3x

8x - 60   =  3x

Subtract 3x on both sides

8x - 3x  -  60  =  0

5x - 60  =  0

Add by 60 on both sides

5x - 60 + 60  =  0  + 60

5x  =  60

Divide by 5 on both sides

x  = 60/5

x  =  12

Example 4 :

What is the value of x in the equation

(x − 2)/3 + 1/6 = 5/6 ?

Solution :

(x − 2)/3 + 1/6 = 5/6

(2(x - 2) + 1)/6  =  5/6

multiply by 6 on both sides

(2x - 4 + 1)  =  5

2x - 3  =  5

Add 3 on both sides

2x - 3 + 3  =  5 + 3

2x  =  8

Divide by 2 on both sides

x  = 8/2

x  =  4

Step-by-step explanation:

z+17=7 solve the equation

Answers

if you’re looking for z= -10

Answer:

Hi mate,

Step-by-step explanation:

the answer is - 10

pls mark me as the brainliest

Question 6: CONSUMER MATH

Answers

Answer:

A. 18.99

Step-by-step explanation:

Times 75.95 by .25 and you get the amount taken off

F(x)=2/3x+3
What is the value of f(12)?

Answers

Answer:

f=1/18x+1/4 x=-9/2+18f

A DVD player is on sale for 15% of the regular price of $135. After the
price reduction, a 5% sales tax is added.
How much will a customer pay?

Answers

Answer:

the correct answer would be 13.5

Find an integer x such that 2/3 < x/5 < 6/7

Answers

Answer:

Step-by-step explanation:

x=4. 2/3 is .6 6/7 is .85. 4/5 is .8. it fits perfectly in this inequality

A cell phone plan cost $150 to start. Then there is a $ charge each month

Answers

Answer:

$250

Step-by-step explanation:

I just looked up the question and saw the exact same one so.

In which of these situations do the quantities combine to make 0?

A. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive
B. A rock climber goes 40 feet down into a valley. She then goes 40 feet up a cliff o C. Glenn spends $8 on a tutor, and then he spends $8 on a new book
D. A player in a game earns 5 points for getting an answer right. She then earns 5 points for making it around the board​

Answers

Answer:

b

Step-by-step explanation:

only one that makes sense lol. a is only losing half 10-5= 5. c is spending $8 twicce so it goes to -$16. d earns 10 points

Greeting cards (c) and gift bags (b) are the same price (p). Cassie purchased greeting cards and gift bags, the price of which can be expressed by p(c + b).

Select all the expressions that also represent the price of the greeting cards and gift bags.
A. pcb
B. pc + b
C. pc + pb
D. (b + c)p

Answers

Answer:

C...

Step-by-step explanation:

Equivalent expressions are expressions of the same value.

The equivalent expressions of p(c + b) are (d) (b + c){p) and (c) pc + pb

The expression is given as:

[tex]\mathbf{p(c + b)}[/tex]

Rewrite as:

[tex]\mathbf{p(c + b) = (b + c)p}[/tex]

Open brackets

[tex]\mathbf{p(c + b) = pc + pb }[/tex]

Hence, the equivalent expressions of p(c + b) are (d) (b + c){p) and (c) pc + pb

Read more about equivalent expressions at:

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Find the missing length.
Plzzz help

Answers

I think 45 but not too sure, lol sry

At a grocery store, Mary bought five cans of corn and paid $1.50. Larry bought 8 cans of corn and paid $2.40. What is the constant of proportionality that relates to the cost per can?

Answers

Answer:

30 cents

Step-by-step explanation:

If you divide 1.50 by 5 you get .30 and if you divide 2.40 by 8 you also get .30 keep smiling, have a good day

The constant of proportionality that relates to the cost per can is $0.3.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, At a grocery store, Mary bought five cans of corn and paid $1.50.

Therefore, The cost of each can is,

= $(1.50/5).

= $0.3.

And,  Larry bought 8 cans of corn and paid $2.40.

Therefore, The cost of each can is,

= $(2.40/8).

= $0.3.

So, The constant of proportionality is $0.3.

learn more about the unitary method here :

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Monica rode her bike 35 kilometers in 2.5 hours. What was her average speed

Answers

Answer:

14 kilometers

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

35÷2.5=14

have a goodnight

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