Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.

Answers

Answer 1

Answer:

We can only take positive number , Because negative is always smaller than positive.

We can take ,

6 + 6 = 12 .

6 x 6 = 36.

Where both are largest numbers possible.

Thus, the answer is 36.

Answer 2

The required pair of values which gives a sum of 12 and the largest product is 12

For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.

11 and 1 = (11 × 1) = 11

10 and 2 = (10 × 2) 20

9 and 3 = (9 × 3) = 27

8 and 4 = (8 × 4) = 32

7 and 5 = (7 × 5) = 35

6 and 6 = (6 × 6) = 36

From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.

Learn more : https://brainly.com/question/10905928


Related Questions

A ladder is 2 metres long. It leans against a wall
so the base is 86 cm from the wall.
a Write 86 cm in metres.
b How far up the wall does the ladder reach?​

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Step-by-step explanation:

jsjsjskksksndkdkkdkf



Please help me please

Answers

Answer:

the ham is the least expensive, the roast beef is most expensive

Step-by-step explanation:

hope this helps.

50pesos de 100 cuánto es el porciento​

Answers

It is 50% because it is half of the total

Answer:

50%

Step-by-step explanation:

El 100% es 100  

Y X es 50  

Entonces si 50 es la mitad de 100

Seria 50%

What is the slope of the linear function that
models the data in the table?

Answers

Answer:1.2

Step-by-step explanation:divide 198 by 165

Answer:

slope - 1.2

--------edge

A square patio has an area of 182 square feet. How long is each side of the patio to the nearest tenth?

Answers

Answer:

13.5 feet

Step-by-step explanation:

Square root of 182 = 13.49

the answer is 13.5 feet

ILL GIVE BRAINLIEST!!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?

Answers

Answer:

yStep-by-step explanation:

help please with #3

Answers

Answer: x = 2a over b + c

Step-by-step explanation:

1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx

2) Since both b and c have x’s, we turn it into (b + c)x

3. Then divide both sides by b+c to get 2a over b + c = x

Finding the area, any help?​

Answers

Answer:

Volume: x^6

Area: 6x^4

Step-by-step explanation:

volume: length x width x height

area: 6 sides of x^4 so 6x^4

24 is the answer because you multiply areas

Combine like terms: 4 - 3m - 1 + 2m

Answers

Answer:

-m+3

Step-by-step explanation:

4 - 3m - 1 + 2m

4-1-m

-m+3

Find the product of (x - 3)2.

Answers

Answer:

2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9


Which of the following could be the perimeters of the three squares below?
A 12ft, 16 ft and 20 ft
B 20 ft, 16 ft and 24 ft
C) 40 ft, 80 ft and 120 ft
D 16 ft, 24 ft and 28 ft

Answers

Answer:

Option (A)

Step-by-step explanation:

Option (A).

Since, perimeter of a square = 4×(side)

Perimeters of 3 squares = 12 ft, 16 ft and 20 ft

Side lengths of three squares will be = [tex]\frac{12}{4}, \frac{16}{4},\frac{20}{4}[/tex]

                                                             = 3 ft, 4 ft and 5 ft

If these sides are the measures of the sides of the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

5² = 4² + 3²

25 = 16 + 9

25 = 25

True.

Therefore, these are the sides of the given right triangle.

Option (B).

Perimeters of three squares are 20 ft, 16 ft and 24 ft.

Sides lengths of three squares = [tex]\frac{20}{4},\frac{16}{4}, \frac{24}{4}[/tex]

                                                    = 5 ft, 4 ft and 6 ft

By Pythagoras theorem,

6² = 4² + 5²

36 = 61

False.

Therefore, these sides are not of the given right triangle.

Option (C)

Perimeters of the squares = 40 ft, 80 ft and 120 ft

Side lengths of the squares = 10 ft, 20 ft and 30 ft

If these sides are the sides of the given right triangle, they will follow the Pythagoras theorem.

By Pythagoras theorem,

(30)² = (10)² + (20)²

900 = 500

False.

Option (D)

Perimeters of the given squares are 16 ft, 24 ft and 28 ft.

Side lengths of these squares will be 4 ft, 6 ft and 7 ft.

If these sides form a right triangle they will follow the Pythagoras theorem.

By Pythagoras theorem,

7² = 4² + 6²

49 = 16 + 36

49 = 52

False.

Therefore, these are not the sides of a right triangle.

Option (A) will be the answer.

A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.

Answers

Answer: The estimate is 200

Step-by-step explanation:

The exact amount would be 204 teddy bears, but you would it down to 200.

Words
3 x (52 - 12) in word form

Answers

Answer:

three times fifty-two minus twelve.

-or-

three multiplied by fifty-two subtracted from twelve.

also if you need the answer to the problem it's 70

Answer: Three times Fifty two minus twelve

Step-by-step explanation:

DUE IN 10 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Should be 1/4 I think

Answer:

1/4

Step-by-step explanation:

Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights below 125 oz is:

A. .500

B. .159

C. .341

D. .841

Answers

Answer:

125 is 1 dev above, so it's  13.5 + 2.35,so it's B. 0.159And i think the proportion of infants with birthweights between 125 oz and 140 oz is :D. 0.136

Please help me solve this! If you could solve my other questions that haven't been solved that would be great!

Answers

Answer:

The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

In the complex fractions [tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c

To simplify it change ÷ to × and reciprocal c

[tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c = [tex]\frac{a}{b}[/tex] × [tex]\frac{1}{c}[/tex] = [tex]\frac{a}{bc}[/tex]

In the complex fractions [tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex]

To simplify it change ÷ to × and reciprocal [tex]\frac{b}{c}[/tex]

[tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex] = a × [tex]\frac{c}{b}[/tex] = [tex]\frac{ac}{b}[/tex]

Let us solve the question

∵ The complex fraction is [tex]\frac{\frac{8}{9}}{8}[/tex]

∵  [tex]\frac{\frac{8}{9}}{8}[/tex] = [tex]\frac{8}{9}[/tex] ÷ 8

→ Change ÷ to × and reciprocal 8

∴  [tex]\frac{8}{9}[/tex] ÷ 8 =  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex]

→ Cancel 8 up with 8 down

∴  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{9}[/tex]

The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Answer:

1

Step-by-step explanation:

In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.

Slope is known as the run over the rise. True or False

Answers

Answer:

false. slope is calculated by rise over run

Answer:

FALSE

Step-by-step explanation:

Slope is known as the RISE OVER RUN.

Can I get brainliest? Plz!!!

WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT ​

Answers

Answer:

lies  you wont give brainliest

Step-by-step explanation:

what is 206 divided :) 6

Answers

Answer:

if you mean 206 divided by 6 than the answer will 34.3 (rounded)

Step-by-step explanation:

I used a calculator

juanito has a rope 1.75 meters long. He needs to cut it into shorter ropes each 0.1 meter long​

Answers

Answer:

17.5

Step-by-step explanation:

[tex]1.75 \div 0.1 = 17.5[/tex]

What is the answer to 1/3x(15+6)?

Answers

Answer:

1/3×21

=7

Step-by-step explanation:

first step: solve the barket part

second step: Solve division or multiplication which first..Follow Rule:BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction.

The correct answer is 7

Please help ASAP! Answer the questions like 1. 2. 3 pls

Answers

Answer:

1. 3, because 30 divided by 10 is 3.

2-6, What is the recipe? By understanding the OG recipe I can multiply every number by three.

You can put the recipe in the comments and I will edit this answer. :)

~PumpkinSpice1

3 is your lucky number

For question one, You need to multiply 10 by 3. To get this you can divide 30 by 10, this gives you the number you need to multiply 10 by, in this case its 3.

The next two questions are not able to be answered because I need the amount of oil or flour to determine how much to use for 30 cupcakes.

But, if you have 1 cup of oil for 10 servings, and you want 30 servings, like before, multiply by 3.

Same for flour, it doesnt matter how much of it you need, just multiply by 3 from the amount you use for 10 servings.

If your confused on 4, 5 and 6. Just remember, 3 is the lucky number.

Please helpppp guyssssss

Answers

Answer:

the answer is B because the 30x how much they charge each hiur and the other one has a trend of 25 each hour so P charges 5 more .

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.

The figure shows a right triangle with legs marked 40 and 9.

Answers

Answer:

41

Step-by-step explanation:

The Pythagorean Theorem:

[tex]x^2+y^2=z^2[/tex]

where x and y are two legs, and z is the hypotenuse

Plugging this in, we have

[tex]40^2 + 9^2 = 1681\\\sqrt{1681}=41[/tex]

Answer: Hypotenuse is 41

25) (1,-5) parallel to y = - 10x - 3

Answers

Hope it helps :))
Here is the working

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

C. y = 91

Step-by-step explanation:

you are given that x and y are proportional, this means that you can out them in a fraction

so when x is 8, y is 56, this can be written as 8/56

you are trying to find what y is when x is 3, so you can also put that in a proportion that is equal to the given fraction

so now we have 8/56 = 13/y

cross multiply 56 and 13, and 8 and x

you now have: 8y = 728

divide both sides by 8

you get y = 91

(3x+5)+(2x+3)
Please show steps

Answers

Answer:

first you do the mutpiton in the first perentes then you do addition

Step-by-step explanation:

3x + (5+3) + 2x
3x + 8 + 2x

(3x+2x) + 8
5x + 8

Your answer is 5x + 8

I'm going to k.m.s GOODBYE WORLD

Answers

Answer:

nooooo

Step-by-step explanation:

Answer:honestly i might too at some point but if you decide not to and want to talk about what happened, let me know. i'm not a therapist and i'm not the best with words, but i do like to listen to what others have to say and learn from their lives. i hope you choose to live, but i sadly cannot stop you.

Step-by-step explanation:

Does the graph represent a function? Why or why not?
10-
-10
10
-10-
O A. No, because it fails the vertical line test.
B. No, because it fails the horizontal line test.
O C. Yes, because it passes the vertical line test.
O D. Yes, because it passes the horizontal line test.

Answers

Answer:

no because it fails the vertical line test

Yes because it passes the vertical line test

please please help me!!

Answers

Answer:

slope is 4

Step-by-step explanation:

slope of the line is the diference in y /diference in x between any 2 points that belong to the line

slope=(10-2) / (3-1) = 8/2 =4

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