John and Jennifer want to split a bag of candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which John values at $1, $4, and $5 respectively.

If John is the divider, find a possible division that is consistent with his value system.

Answers

Answer 1

If John is the divider then $5 is the consistent value with his share system.

What is a divider chooser?

The essential concept is that an object is divided into pieces by a divider. The remaining participants, referred to as choosers, make bids on the pieces they believe represent fair portions. Each chooser receives the portion that, in their opinion, represents a fair share, with the remaining portion going to the divider.

Given that the bag contains 100 Snickers, 100 Milky ways and 100 Reese's which john values at $1 , $4 and $5 respectively.

That means 1 Snicker, 1 Milky way and 1 Reese's for $0.01 , $0.04 and $0.05 respectively.

Suppose, John splits a bag of candy

a) first half : 50 Snickers, 50 Milky ways and 50 Reese's

b) second half : 50 Snickers, 50 Milky ways and 50 Reese's

The value of both of the half in John's terms ;

50 (0.01) + 50 (0.04) + 50 (0.05) = 0.5 + 2 + 2.5 = 5

Therefore, if John is the divider then $5 is the consistent value with his share system.

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Related Questions

A container 2/3 gallon of apple juice. If four people from the cross-country Tracy team share the juice equally how much juice will each team member get?

Answers

Answer:

1/6 gallon

Step-by-step explanation:

Total juice = 2/3 of container

Total people = 4

Juice for 1 people = 2/3/(4)

=> 2/3 × 1/4

=> 1/3 × 1/2

=> 1/6

Can someone help I will mark u brilliant

Answers

Answer:

A probability cannot be more than 100%

Jada and Han order two identical pizza’s.jada ate 1/2 of hers and han ate 2/3 of his. How much pizza did they eat altogether

Answers

1 x 3
2 x 3

2 x 2
3 x 2

3/6
4/6

7/6= 1 1/6

1 1/6 is the final answer

The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.

Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.

The amount of pizza that they eat altogether will be given as,

⇒ 2/3 + 1/2

Add the fraction, then we have

⇒ 2/3 + 1/2

⇒ (4 + 3) / 6

⇒ 7 / 6

The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.

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Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11

Answers

The function rule is y=x+2

Answer:

Step-by-step explanation:

There are multiple ways to do this, but I'll go with the first one I learned and the simplest.

So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.

Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b

By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.

A cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension(s) will double the volume of the barrel?

Answers

Answer:

Step-by-step explanation:

r = 2.1 feet

h = 14 feet

V = pi r^2 h

V = 3.14 * 2.1^2 * 14

V = 193.85

Let h = 28 feet

V = pi * r^2 * h

V = 3.14 * 3.2^2 * 28

V = 387.72

If you divide 387.72 by 2 you get 193.86

The difference in the hundreds place comes about because of the rounding that took place.

The answer to your question is you must double the height,

A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.
Find the probability of getting two numbers whose sum exceeds 20.

Answers

Answer:

If the die is 6 sided then the likely is none (0)

Step-by-step explanation:

Hope this helps!:)

how much simple interest will be earned in 3 years on $2500 in an account that pays 1.5%

Answers

Answer

Step-by-step explanation:

Answer:

$112.50

Step-by-step explanation:

1.5% = 0.015

$2500 × 0.015 × 3 = $112.50

Solve the system of equations.
y= -6x +9
y= -3x +3
a (3,-2)
b. (-2,3)
C. (2,3)
d. No solution

Answers

Answer:

The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.

(Please don't get mad or report this answer, the work is below, so you may see for yourself.)

Step-by-step explanation:

Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:

-6x + 9 = -3x + 3

Next we will solve for x by isolating it:

So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.

Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:

y = -3(2) + 3

-3 × 2 = -6 and -6 + 3 = -3

So: y = -3

Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).

As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)

Answer:

x=2, y=-3. (2, -3).

Step-by-step explanation:

y=-6x+9

y=-3x+3

-----------

-6x+9=-3x+3

-6x-(-3x)+9=3

-6x+3x=3-9

-3x=-6

3x=6

x=6/3

x=2

y=-6(2)+9

y=-12+9=-3

The map shows the location of four places in a city:

Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.

Anna's house is in the same quadrant as the museum. Which of the following could be the coordinates of Anna's house?

(1, 4)
(−1, 4)
(1, −4)
(−1, −4)

Answers

Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).

The signal rules for the quadrants of a point (x,y) are as follows:

First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.

In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).

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What is the sign of the product (-5)(-3)(-8)(-6)? (5 points) Positive, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is positive Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive Negative, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is negative Negative, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is negative

Answers

Answer: Choice B

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

=======================================================

Explanation:

Recall we have these rules

positive times positive = positivepositive times negative = negativenegative times negative = positive

Here is one example for each rule

8*7 = 565*(-9) = -45-2*(-4) = 8

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:

If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?

If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?

Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?

Answers

Answer:

(0.5,-0.5)(0.5,0.5)2 yards

Solve the equation :

In(5-x) = In5 - Inx,

giving your answers correct to 3 significant figures.

Answers

[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]

Answer:

x1 = 3.618, x2 = 1.382

Step-by-step explanation:

ln(5-x) = ln5 - lnx

ln(5-x) + ln(x) = ln5

ln(5x-x^2) = ln5

5x-x^2=5

0=x^2-5x+5

x = -(-5)±√((-5)²-4(1)(5)) / 2(1)

x = 5±√(25-20) / 2

x = 5±√5 / 2

x1 = 3.618, x2 = 1.382

The graph below represents data that was collected by students on the number of social media posts they made the previous day. What's the greatest number of posts a student made?

Answers

From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Given the graph given that represents the data that was collected by students shows the following:

The lowest number of posts a student made is 0 (3 students made 0 posts).The greatest number of posts a student made is 10 (2 students made the greatest number of posts).The number of posts made by most students is 7 (6 students made 7 posts).

In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

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I need help with this badly.

Answers

Ok done. Thank to me :>

Frank needs to memorize words for a vocabulary list for French class he has memorize 24 that's three-fourth of the list how many words are on the list

Answers

Answer:36 is this 2nd grade?

Step-by-step explanation:

A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble

Answers

there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles

there are 18 marbles in total

8/18

Answer:

1/9 or 11.1%

Step-by-step explanation:

16 out of 18 are red

1/8 are red plastic

16/18 x 1/8 = 16/144 or 1/9

A box contains 7 green marbles, 10 blue marbles, and 5 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that two of the marbles selected are green and the other marble is red.

Answers

Answer:

5/253

Step-by-step explanation:

The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.

help guys HURRY!!! plsss! :D

Answers

Answer:

B. x+240=425

Step-by-step explanation:

graph the function
f (x) = |x + 2| - 5

Answers

Answer:

View the link for the answer

I need help please I don’t know what to it is due today

Answers

Answer:

Step-by-step explanation:

They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1

The probability of randomly meeting someone with a phone number that ends in 3 is

Answers

Answer:

0,1,2,3,4,5,6,7,8,9

Step-by-step explanation:

: probability of meeting someone with a phone number that ends with 3 .....

= 3/total amount of no ×100

3÷10= 0.3

: 0.3×100= 30% probability.

Assuming a phone number is 10 digits long and the last digit can be any of the 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9) with equal probability, the probability of randomly meeting someone with a phone number that ends in 3 is 1/10, or 0.1.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

If the phone number is 10 digits long, there are 10 possible digits that could be at the end. Since only one of those digits is a 3,

the probability of randomly selecting a phone number that ends in 3 is:

1/10 = 0.1 or 10%

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What is the correct factorization of x^2 - 2x - 15?
HURRRYYYY PLS
A. 4
B. 5
C.8
D.12

Answers

Answer:

option b

Step-by-step explanation:

[tex] {x}^{2} - 2x - 15[/tex]

[tex] {x}^{2} - 5x + 3x - 15 = 0[/tex]

[tex] x(x - 5) + 3(x - 5) = 0[/tex]

[tex](x - 5)(x + 3) = 0[/tex]

x = -3 (Not possible)

x = 5

So, x = 5

factor the polynomial f(x) = X^3+5x^2+7X+3

Answers

The answer is (X+1)^2(x+3)

Answer:

Step-by-step explanation:

Third level polynomial, so three factors

Only whole numbers, so only whole number x⁰ factors

whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3

let's try (x + 3) as a factor

x² + 2x + 1

x + 3 | x³ + 5x² + 7x + 3

- x³ + 3x²

2x² + 7x

- 2x² + 6x

x + 3

- x + 3

so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²

x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)

Help math if f(x) =

PLEASEEEEE MY LIFE DEPENDS ON THIS

I will send good fortune your way if you answer correctly (and points)

Answers

We have: f(-3) = -2(-3) = 6

ANSWER: f(-3) = 6
Ok done. Thank to me :>

Simplify: -6(x + 4)

Answers

Answer:

A) -10x - 24

Step-by-step explanation:

1. To simplify this expression, we apply the distributive property.

[tex](-6)(\frac{5}{3}x)+(-6)(4)[/tex] [tex]\frac{-30}{3}x-24[/tex] [tex]-10x - 24[/tex]

Therefore, the answer is A) -10x - 24.

Answer:

A) -10x-24

Step-by-step explanation:

[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]

[tex]a(b+c)=ab+ac[/tex]

i need help with this question

Answers

Answer:

check online for more information

Write the missing numbers to find 154÷11

Answers

Answer:

Step-by-step explanation:

154/11 = 14

(✿◡‿◡) HAPPY HOLIDAYS!!! <3

a plumber receives $72 an hour. how much is she paid for 20 hours of work?

Answers

Answer:

$1440

Step-by-step explanation:

$72/hour

For 20 hours, she receives

20 hours × $72/hour = $1440

$1440 , 72x20 is the correct answer

A cook has 32 ounces of a 5% apple cider vinegar that she wants to dilute to a 3% apple cider vinegar . How much water does she need to add to obtain that concentration?

Answers

The cook needs to add 21.3 ounces of water to obtain the concentration

The cook has 32 ounces of 5% apple cider vinegar.

The total apple cider vinegar the cook has is:

[tex]Total = 32 \times 5\%[/tex]

[tex]Total = 1.6[/tex]

Let the quantity of water be x.

To dilute 3% apple cider vinegar, the cook would make use of the following equation

[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]

So, we have:

[tex]Total = 3\%\times (32 + x)[/tex]

Substitute 1.6 for total

[tex]1.6= 3\%\times (32 + x)[/tex]

Divide both sides by 3%

[tex]53.3=32 + x[/tex]

Subtract 32 from both sides

[tex]53.3-32= x[/tex]

[tex]21.3= x[/tex]

Rewrite as:

[tex]x = 21.3[/tex]

Hence, the cook needs to add 21.3 ounces of water

Answers

Answer:

Step-by-step explanation:

Other Questions

John and Jennifer want to split a bag of candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which John values at $1, $4, and $5 respectively. If John is the divider, find a possible division that is consistent with his value system.

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John and Jennifer want to split a bag of candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which John values at $1, $4, and $5 respectively.

If John is the divider, find a possible division that is consistent with his value system.