What times what equals 11, but if you add the numbers together you get 12.

Answers

Answer 1

Answer:
The pair of numbers you want is

11
and
1.

Answer 2

Answer: 11 * 1 = 11

Now, 11 + 1 = 12

Answer: 11 and 1

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A chemist has 20 gallons of solution with 12% saline. How much pure saline (100% saline) needs to be added to the 20 gallons to create a mixture with 15% saline content? Round your answer to the nearest tenth (if you answer this please let me know how you got the answer, thank you!)

A cube with side length 5h^2 is stacked on another cube with side length 3k What is the total volume of the cubes in factored form?

Answers

Answer:

$(5h^2+3k)(25h^4-15h^2k+9k^2)$

Step-by-step explanation:

We have been given that a cube with side length 5h^2 is stacked on another cube with side length 3k.

Since we know that the volume of cube is $a^3$ , where a represents the length of each side of cube.

Since one cubes is stacked on another cube, so the total volumes of both cubes will be equal to the sum of volumes of both cubes.

$\text{Total volume of both cubes}=(5h^2)^3+(3k)^3$

Since the volume of both cubes is sum of cubes, so we will use formula:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

So factoring the volumes of cubes using sum of cubes we will get,

$\text{Total volume of both cubes}=(5h^2+3k)((5h^2)^2-5h^2* 3k+(3k)^2)$

$\text{Total volume of both cubes}=(5h^2+3k)(25h^4-15h^2k+9k^2)$

Therefore, the total volume of both cubes in factored form will be: $(5h^2+3k)(25h^4-15h^2k+9k^2)$

In order to compute the combined volume of the cubes, we may simply add the individual volumes of the cube. The volume of a cube is equivalent to the cube of one of its sides. The volume of the first cube is (5h^2)^3 = 125h^6. The volume of the second cube is (3k)^3 = 27k^3. The total volume is: 125h^6 + 27k^3Hope this helps. Let me know if you need additional help!

If the ratio of the area of circle A to the area of circle B is 2 : 1, then how many times larger is the circumference of circle A than the circumference of circle B?

Answers

area A / area B = 2 / 1; => radius A / radius B = $√(2)$ ;
circumference of circle A / circumfereance of circle B = radius A / radius B = $√(2)$ => $√(2)$ ≈1.41;

What is the next term in the pattern shown below? 4.5, 9, 13.5, 18

Answers

The next term in the pattern is 22.5.

To find the next term in the pattern, it's essential to identify the underlying rule or mathematical operation that governs the progression of the given numbers.

In this case, we can observe that the sequence is increasing by a consistent difference of 4.5 between each consecutive term.

Starting from 4.5 and adding 4.5 successively, we get:

4.5 + 4.5 = 9

9 + 4.5 = 13.5

13.5 + 4.5 = 18

The next term would be:

18 + 4.5 = 22.5

So, the next term in the pattern is 22.5.

In this sequence, each term is obtained by adding 4.5 to the previous term, resulting in an arithmetic progression.

If you continue this pattern, you will keep adding 4.5 to each subsequent term to find the following numbers in the sequence.

For similar question on pattern.

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22.5

note that the difference (d ) between each term is

d = 9 - 4.5 = 13.5 - 9 = 18 - 13.5 = 4.5

to obtain the next term add 4.5

next term = 18 + 4.5 = 22.5

What is the solution of the equation x − 8 = 17?
-9
9
25
27

Answers

The solution of the equation is 25 because 25-8 = 17.

1 1/3 divided by 3/5 and i wil name brainliest

Answers

Answer:

$(20)/(9)$ or $2(2)/(9)$ or $2(1)/(3)$

Step-by-step explanation:

$1(1)/(3) = (4)/(3)$ and $(3)/(5)$

$(4)/(3)$ divided by $(3)/(5)$

↑

flip the second number

$(4)/(3)$ divided by $(5)/(3)$

but instead of divison it becomes multiplication,

$(4)/(3)$ × $(5)/(3)$

$(20)/(9)$

Mixed number form is:

$2(2)/(9)$

Simplify:

$2(1)/(3)$

Answer:

2 2/9

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

4/3÷3/5

Applying the fractions formula for division,

=4×5

3×3

=20/9

Simplifying 20/9, the answer is

=2 2/9

What are the vertex and axis of symmetry of the equation y=-2x^2 8x-18?

Answers

Answer: vertex: ( 2, –10 & axis of symmetry: x = 2.

What is axis of symmetry ?

Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.

here, we have,

given that,

y = -2x² + 8x - 18

now,

x = -b/2a => -8/2(-2) => -8/-4 => 2

x = 2

now, we get,

Substitute 2 in for x in y = -2x² + 8x - 18

y = -2(2)² + 8(2) - 18

=> -2(4) + 16 - 18

=> -8 - 2

=> -10

i.e. y = -10

(x, y) = (2, -10)

so, we get,

Vertex: (2, -10)

Axis of Symmetry: x = 2

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Answer:

vertex: ( 2, –10)

axis of symmetry: x = 2

Step-by-step explanation:

y = -2x² + 8x - 18

x = -b/2a => -8/2(-2) => -8/-4 => 2

x = 2

Substitute 2 in for x in y = -2x² + 8x - 18

y = -2(2)² + 8(2) - 18 => -2(4) + 16 - 18 => -8 - 2 => -10

y = -10

(x, y) = (2, -10)

Vertex: (2, -10)

Axis of Symmetry: x = 2

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