Mathematics College

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

a group of 6 schools
plan to divide
a grant of $29.4 millions equally
How much will each school
receive?​

Answers

Answer:

$4,900,000

Step-by-step explanation:

29,400,000 / 6 = 4,900,000

each school will receive 4.9 million

29.4million divided by 6=4.9 million

Someone plz help i need numbers 24 and 26

Answers

i hope you understand

A small artichoke contains about 9 milligrams of vitamin C. It also contains about 15​% of the recommended amount of vitamin C an average adult should get each day. About how many artichokes would an average adult have to eat in a day to get the necessary amount of vitamin​ C.

Answers

Answer:

7 Artichokes

Step-by-step explanation:

To figure this out, we need to find out how much Vitamin C an average adult needs. We set up a proportion.

[tex]\frac{9}{15} = \frac{x}{100}[/tex]

[tex]15x=900[/tex]

[tex]x=60[/tex]

Now, since each artichoke is worth 9 milligrams, we divide 60 by 9.

[tex]60/9=6.66666...[/tex]

So, to get the necessary amount of Vitamin C, we round up to 7.

Line v is parallel to line w
Which set of statements about the angle is true

Answers

Answer:

∠1 ≅ ∠5, ∠2 ≅ ∠4, ∠3 ≅ ∠6

28
6. Hannah has 229 horse stickers and
164 kitten stickers. How many more
horse stickers than kitten stickers does
Hannah have?

Answers

Subtract 229 and 164 its 65 so thats your answer .

Which answer best describes the shape of this distribution?
bell-shaped skewed left
8 9 10 11 12 13 14 15 16 17
s § 10 11
skewed right
uniform
Next

Answers

Answer:

skewed right

Step-by-step explanation:

I took the k12 test and I got the answer right

Please help!!!! Select the correct location on the graph.
Graph the point that has the coordinates

Answers

Answer:

Its the one on the left

Step-by-step explanation:

How high is a tree that casts a 35-ft shadow at the same time a 8-ft post casts a shadow which is 9-ft long

Answers

Answer:

it depend on which angle is the sun is

Step-by-step explanation:

Answer:

It would be approximately 40 ft, but the precise answer is 39.375 ft. Hope that helped!

Step-by-step explanation:

Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?

Answers

the answer would be 8,720 i believe!!

Answer:

It's %9.0.

Step-by-step explanation:

Find the exact value of tan(sin^-1((-12/13))

Answers

Answer:

2.399

Step-by-step explanation:

Given the trigonometry expression:

tan(sin^-1((-12/13))

We are to find the exact value

tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))

tan(sin^-1((-12/13)) = tan(-67.38)

Also note that tan(-theta) = -tan theta

tan(-theta) = -tan67.38

tan(-67.38) = -2.399

The exact value is 2.399

Which of the following best estimates the sum 1/2+1/3
a 0.4
b .5
c .8
D 1.1

Answers

Hey! The answer is 0.8 or C
The answer is c. 1/2 is 0.5 and 1/3 is 0.33 so the sum is about 0.8

Evaluate the expression |2x-5| for x = -3 and for x = 3

Answers

Answer: 11 and 1

Step-by-step explanation:

Absolute value = positive

|2x-5| for x = -3 and for x = 3

|2(-3) - 5| = |-6-5| = |-11| = 11

|2(3) - 5| = |6-5| = 1

Imagine you are falling into a deep hole full of poisonous spiders and snakes. How would you survive? Also, what's 1000 - 7?

Answers

Answer:

I would survive by trying to stick on the walls

1000-7 = 993

I would survive Bc I’m a legend, and 1000 - 7=993
Hope I helped:)

Shannon has 3 more purple beads than yellow beads. Which equation represents Shannon’s beads?

Answers

Answer:

p = y+3

Step-by-step explanation:

Can someone help me please

Answers

Answer: Least to greatest: 6, 4+2n, 12.5, 4n

Step-by-step explanation:

pi = 3.14

4n = 12.56

4 + 2n = 10.28

Least to greatest: 6, 4+2n, 12.5, 4n

Answer:

4π, 12.5, 4+2π, 6

Step-by-step explanation:

4π=12.56637

12.5=12.5

4+2π= 10.2831853

6=6

i need help asap pls and thnx you

Answers

Answer:

[tex]z^{3}[/tex] or C

Step-by-step explanation:

ANSWER WUICK WILL.MARK BRANLIEST The ratio of North American Butterflies to South American butterflies at a butterfly park is 8:5. The ratio of
South American butterflies to European butterflies is 5:2. There are 80 North American butterflies at the
butterfly park.
How many european butterflies are there

Answers

Answer:

20 butterflies

Step-by-step explanation:

80:50=8:5

50:20= 5:2

20 european butterflies

factor the expression
6x + 24 =

Answers

6(x+4) i think. it should be

Sean places 10 tomato plants in rows. All rows contain the same number of plants. There are between 3 and 8 plants in each row. How many plants are in each row​

Answers

Answer:

240

Step-by-step explanation:

so what is 3*8 and then what ever you get you multiply by 10

Hsvdsnegskehemwuenehee e. Tomato bsvdjsvejdvdos

David and Jim like to race each other for best times. In April, the ratio of David winning to Jim was 5 : 9. In August, the ratio changed to 10 : 4. If David won 15 races in April, how many races did each brother win in August?

Answers

15: 6

hope this helps

15: 6 is the answer i got it right so hope it helps

Question
8 - (-7) =
Plz help me!!!

Answers

Answer:

8-(-7)=

8(7)=

8+7=15

Step-by-step explanation:

prove me wrong

3$ pre child 5$ adult totaling 374 tickets sold at the cost of 1524 dollars. how many child and adult tickets were sold

Answers

Answer:

173 children tickets were sold and 201 adult tickets were sold

Step-by-step explanation:

Let the number of child ticket sold be x

Let the number of adult ticket sold be y

If the total number of ticket sold is 374, hence;

x +y = 374 .... 1

Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;

3x + 5y = 1524..... 2

Solve both equations simultaneously

From 1; x = 374 - y ...3

Substitute equation 3 into 2

3(374-y)+5y = 1524

1122-3y+5y = 1524

1122+2y = 1524

2y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Since x = 374-7

x = 374 - 201

x = 173

Hence 173 children tickets were sold and 201 adult tickets were sold

Question
-3(-4)=
Please help me I don’t know what to do!

Answers

Answer:

The answer is 12. Please please like.

answer plsplsplsplsplsplsplsplspls

Answers

Answer:

10 or 5

Step-by-step explanation:

I think 10

Bradley and Melissa share $2,000 in the ratio 2:3. a. How much money did Bradley receive? b. How much money did Melissa receive. c. Melissa used her share as a down payment on a dining room set costing $1,500. What is the balance she owes on the dining room set? (Answer all 3 parts of the question.)

Answers

Answer:

a)800

b)1200

c)300

Step-by-step explanation:

2+3=5

2000/5= 400

Answer:

a=$800 . b=$1200 . c=$300

Step-by-step explanation:

2000/5=400

400x2=800

400x3=1200

Using the common​ denominator, what is an equivalent fraction for
​4/7 ?

Answers

It would be 8/14 or 12/21, both are equivalent

Answer:

6/7,5/7,and 1/8 I think T^T

Monica had a savings account that paid her an interest rate of 4%. After she had this account for 12 years, she had received $192 in interest. How much money had she put into the account at the beginning of the 12 years?

Answers

Answer:

Money she put in her account = $400

Step-by-step explanation:

As, to find the interest the formula is PTR/100 = I

Where P = Principcal

And T = time (in years)

And R = rate

And I = interest

So here p is not present we need to find it

R = 4%

And T = 12 years

And I = $192

= p x 4 x 12 /100 = 192

P x 4 x 12 = 19200

P x 48 = 19200

P = 19200/48

P = 400

So Principcal = $400

how many 2/3s are in 3

Answers

Answer:

7 and 1/3

Step-by-step explanation:

1Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each container? ​I pick you as brainlist

Answers

Answer:

That would be 1.5

Step-by-step explanation:

Here it is.

How much to the next whole number from 3 9/10 to 4?​

Answers

Answer:

1/10

Step-by-step explanation:

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