Allan writes down n positive integers so that the sum of those numbers is 23. When he multiples those numbers, he gets the maximum result. List all of the n positive integers that Allan has written.​

Answers

Answer 1

Answer:

3, 3, 3, 3, 3, 3, 3, 2

Step-by-step explanation:

To get maximum product we need to optimize how we break down the numbers

Its obvious we don't want number 1 to be used as it won't change the product

Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10

What is best number?

2 and 3 are the smallest, 4 can be written as two 2's5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 56 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 67 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater product

So the best is to break the number down to 2's and 3's

23 = 2*10 + 3 ⇒ 2^10*3 = 307223 = 3*7 + 2 ⇒ 3^7*2 = 4374

As we see the maximum product we can get is 4374 with seven 3's and one 2.

Hence the numbers are:

3, 3, 3, 3, 3, 3, 3, 2

Answer 2

Answer:

your answer should be     3, 3, 3, 3, 3, 3, 3, 2


Related Questions

Is this a function? Explain with full sentence!
[(3,2) (4,2) (5,2) (3,2)]

Answers

Answer:

yes

Step-by-step explanation:

so i was doing some serching online and i typed what does a function mean and this wat came up an activity or purpose natural to or intended for a person or thing. so as i was thinking this answer fits the description on what i was given from the internet

Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.

Answers

Step-by-step explanation:

Kindly make the question clearer for assistance

make the question more clear pls

Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?

Answers

Answer:

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

Step-by-step explanation:

Given that:

Distance walked from school to Bocas house = 1/4 miles

Distance walked from Paul's house to the park = 4/6 miles

Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]

Total distance walked = [tex]\frac{3+8}{12}[/tex]

Total distance walked = [tex]\frac{11}{12}[/tex] miles

Hence,

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.

PLEASE HELP

The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?

Answers

Answer:

A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]

Step-by-step explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

[tex]x+2 = C\cdot (y-1)^{2}[/tex]

[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]

The correct answer is A.

Answer:

A

Step-by-step explanation:

Hopefully this helps

Function or not? {(2,4)(2,-6)(3,-1)}

Answers

function dujdbfhdhfh

Which expressions are equivalent to 16? Select each correct expression

1 to the 16th power
2 to the 4th power
4 to the 2nd power
8 to the 2nd power
16 to the power of 0
16 to the power of 1

Answers

Answer: Choose 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1

Step-by-step explanation:

When working with exponents, whatever number is the corner of another number, multiply it by itself. For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also there is 4 to the 2nd power which is 4x4 which is also 16. Lastly you have 16 to the power of 1 and anything multiplied by 1 stays the same.

Correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

When working with exponents, whatever number is the corner of another number, multiply it by itself.

For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also, there is 4 to the 2nd power which is 4x4 which is also 16. Lastly, you have 16 to the power of 1 and anything multiplied by 1 stays the same.

Therefore, the correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

A florist sells 3 roses for a total of $10. Each rose costs the same amount. What is the cost of 12 roses?

A. $9.60
В. $10.40
C. $14.00
D. $15.00​

Answers

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 3 roses   costs              10 dollars

3x4=12 roses.................10x4=40 dollars

if g(x)= 1- 3/4x find the value of g(-12)

Answers

Answer:

17/16

Step-by-step explanation:

g(-12) = 1+3/48 = 1+1/16

The function of  g(x)= 1- 3/4x  the value of g(-12) is 1.0625.

Given:

g(x)= 1- 3/4x

g(-12) = 1-3/4x(-12)

g(-12) = 1-3/-48

g(-12) =1.0625

What is function?

The function X to Y assigns exactly one element of Y to each element of X . The set X is called the range of the function and the set Y is called the code interval of the function.

A function is an equation that has only one answer for y for each x. A function specifies exactly one output for each input of a given type. It is common to call either f(x) or g(x) instead of the y function. f(2) means that we should find the value of our function when x is 2.

To learn more about function, refer;

https://brainly.com/question/9554035

#SPJ2

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

The radius of a circle is 4 kilometers. What is the circle's area?
r=4 km
Use 3.14 for .
square kildmeters
Submit

Answers

Answer:

50.27km

Step-by-step explanation:

divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

20 to the power of 3 divided by 2​

Answers

Answer:

4000

Step-by-step explanation:

20 to the power of 3 is 8000 and 8000/2 is 4000

20^3 = 8000 / 2 = 4000

Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}

Answers

Hope this helps ☺️!!!!!

B.

explanation:

whhdhdhdhehehgaahakkabdvdvhabs

HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8

-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.

Answers

1. X= 61/8

2. X= 61/9

3. Y= 20/3

What is the combined length of all the buttons longer than 1 inch

Answers

Answer:

Where is the problem to solve?

Step-by-step explanation:

Mrs. Jones purchased 6.2 pounds of ground beef. She cooked 0.5 of the ground beef. How many pounds of ground beef did she cook?​

Answers

Answer:

She cooked 3.1 pounds

Step-by-step explanation:

6.2 x 0.5 = 3.1

Paula walked on the treadmill for 11 minutes. The machine told her she had a total of 671 strides. What was her rate in strides per minute?

Answers

Answer:

61 strides per minute

Step-by-step explanation:

You just divide 671 by 11

hope this helps:)

Answer:

61

Step-by-step explanation: All you have to do is divide 671 by 11

Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile

Answers

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!

Answers

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

GUYS PLS HELP 25 POINTS + BRAINLIEST IF CORRECT ANSWER

Answers

Answer:

B) 50º

Step-by-step explanation:

first we need to find angle MPL. to do this we do 180 - 70 - 60 = 50º. angle KPN is the smae as angle MPL. so angle KPN is 50º.

Answer:

C

Step-by-step explanation:

your answer is C because when you solve the answer question you get 60 degrees .What I did to get the answer is that I solve each solution answer and that is how I got 60 degrees

Hope this helps:)

Pls mark brainlist

5 Gross Pay is $432. Finat a the social security tax, b the medicare tax and c the
total deductions

Answers

Answer:

Hope this helps!

Step-by-step explanation:

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

What is the unit rate of store A?

•$0.75 / notebook

•$0.50 / notebook

•$0.80 / notebook

•None of the above

What is the unit rate of store B ?

•$0.60 / notebook

•$0.30 / notebook

•$0.55 / notebook

•None of the above

Which store has the better deal per notebook? *

•Store A

•Store B

•The unit rate is the same at both stores

Answers

STORE B BECAUSE LOW RATES IS BETTER THAN HIGH

-5/12 - (-9/3)=

Help me please

Answers

Answer:

HOW T.F DO YOU NOT

Step-by-step explanation:

-5/12+3

2 7/12

UST CAUSE

Answer: -5/4

Step-by-step explanation:

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200

Find the slope of the line

Answers

Answer:

1/2 is the slope

Step-by-step explanation:

By using the graph provided, you can count the lines and go up 1 and over 2. Hope this helped!

A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?

Answers

thats alot of apples. what does a person need with all if those apples?

Answer:

here,

15 pound bag =$6.30

or, 1 pound bag = 6.30/15

or, 1 pound bag = $0.42

or,29 pound bag = 29 X $ 0.42

or, 29 pound bag = $ 12.18

Hence, a 29 pound bag of apple cost $12.18

You are flying your dragon kite.​ It's connected to 40yd of string. The kite is directly above the edge of a pond. The edge of the pond is 36yd from where the kite is tied to the ground. How high is the kite above the edge of the​ pond?

Answers

We have a right triangle with hypotenuse 38 and leg 34.

We want to find the other leg.

We use the Pythagorean Theorem:

Find the Value of “Y”.

Answers

Answer:

26

Step-by-step explanation:

7x - 28 = 5x + 12 and 5x + 12 + y = 180

The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°

7y - 28 + y = 180 add like terms

8y - 28 = 180 add 28 to both sides

8y = 208 divide both sides by 8

y = 26

Write the equation that describes the line with slope = 4 and y-intercept = -2 in slope-intercept form.

Answers

Answer:

2 66

Step-by-step explanation:

beacuse ima gansta and you a cracka so whats up with it

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