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The number of books that can be fit on a shelf is 1 meter long and will be 40.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

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[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]

rationalize the denominator of 1/√3

[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]

[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]

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Answer:

It is same as the length of YX =8 inches so the length of VW=8 inches

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.

Answer:

243cm^3

Step-by-step explanation:

By Pythagoras' Theorem,

height of the prism ^2 + 5.4^2 = 7.8^2

height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)

volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)

This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:A

Step-by-step explanation:

trust

Answer:

Point slope form: y-y₁=m(x-x₁)

Slope-Intercept form is y=mx+b....

Slope formula is m=y-y/ (over) x-x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

First tree

the tree is 8cm tall

and 30cm from the vanishing point

Third  tree

let the tree be x cm tall

and 20cm from the vanishing point

Step two:

if 8cm tree will be 30cm at the vanishing point

then x cm tree will be 20cm at the vanishing point

cross multiply we have

x= (20*8)/30

x=160/30

x=5.3cm

The third tree is 5.3cm tall

Answer:

210

Step-by-step explanation:

Answer:

B. is your answer

Step-by-step explanation:

First you multiply both sides by "x" and you get

12x - 4 = 3x

now add 4 to both sides and you get

12x = 3x + 4

now subtract "3x" from both sides and you get

9x = 4

divide both sides by 9 and you get

x = 4/9

Answer:

See below

Step-by-step explanation:

What is the rise from point A to point D?

What is the run from point A to point D?

Write the fraction of rise over run from A to D (reduce if possible)

Find the rise from Point C to point B.

Find the run from Point C to Point B.

Write the fraction of rise over run from C to B.

Does the line have a positive or negative slope?

What is the slope of line AD?

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

[tex]y=450-25x[/tex]     ...(i)

The slope intercept form is

[tex]y=mx+b[/tex]     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

[tex]m=-25[/tex]

Therefore, the rate of change is -25 dollars.

Answer:

9

Step-by-step explanation:

34 - 16 = 18

18 ÷ 2 = 9

you're welcome! I'm a 6th grader btw!

Answer:

9

Step-by-step explanation:

34-2x=16

-2x=16-34

-2x=-18

2x=18

X=18/2

X=9

So the answer is 9.

The surface element is

dS = || ∂r/∂u  x  ∂r/dv || du dv

where

r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k

r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k

is the vector parameterization for the surface S.

The normal vector to the surface is

∂r/∂u  x  ∂r/dv

… = (i + j + 2 k)  x  (i - j + k)

… = 3 i + j - 2 k

and has norm

|| ∂r/∂u  x  ∂r/dv || = √(3² + 1² + (-2)²) = √(14)

Now compute the integral:

∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv

… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv

… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv

… = √(14) ∫₀¹ (8 + 2v) dv

… = √(14) (8v + 2v²) |₀¹

… = 10 √(14)

Answer:

ye

Step-by-step explanation:

Answer:

Step-by-step explanation:

Freezing is 32 degrees F.

32-9= 23 degrees F.

Answer:

1. 50%

2. 400

Answer:

[tex]\%Change = 8.8\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 51\ cents[/tex]

[tex]Final = 55.5\ cents[/tex]

Required

Determine the percentage change

Percentage change is calculated as;

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]

[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]

[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]

[tex]\%Change = \frac{450\%}{51}[/tex]

[tex]\%Change = 8.8\%[/tex]

Hence, the percentage change is approximately 8.8%

Answer:

I couldn't find out how many hours Michael worked but the total amount is $1504.50

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

-17+25+-6-18

you just basically combined -17,-6 and -18

so -41+25

= -16

Answer:it’s actually very simple it’s A.

Step-by-step explanation: anything that is below one is negative that’s how I got my answer.

Answer:the answer is A

Step-by-step explanation:i did the test

It's c (48)

because if you divide all of them its 3

Answer:

Ax=6

Y=12

Therefore a=6, x=1, y=12

Answer:

{([tex]\frac{6}{a}[/tex],12)}

Step-by-step explanation:

[tex]\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.[/tex]

[tex]5ax = 30[/tex]

[tex]x = \frac{6}{a}[/tex]

[tex]a(\frac{6}{a}) + y = 18[/tex]

6 + y =18→y=12

[tex]4a(\frac{6}{a}) - 12 = 12[/tex]

6 - 12 = 12 → 12 = 12 true  x=[tex]\frac{6}{a}[/tex]  y=12

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

Answer: $468.00

Step-by-step explanation:

Answer:

1054

Step-by-step explanation:

1000+50+4

Answer:

answer and explanation below

Step-by-step explanation:

that means 2/5 is 1000 so 1/5 is 500 so 500times 3/5 is 500 times 3

so galaxy=1,500 and iphone=2,500 and 1,500/2,500 gets reduced to 3/5 so it is rigth