Activity
Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she needs. You can see from the diagram of the living room that this is not a simple shape. Complete the steps below to find the area of the room, which is the amount of carpet Valerie needs for her project.


Part A
Help Valerie decompose the shape into the fewest simple shapes. Which shapes can you divide the figure into? How many of each shape do you get?
Part B
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Part C
On a separate piece of paper, draw the different ways you can divide the given shape into simpler shapes. Describe each result.
Part D
What are the dimensions of the simple shapes you obtained in part C? List dimensions for all your decompositions (sets of shapes).
Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Part F
Add the areas of the simple shapes you found in part E to find the area of the composite shape. Do this separately for both decompositions. What do you notice about the two answers?
Part G
What is the amount of carpet Valerie needs for her living room?

Answer:

That is statement is true

Answer:

5x- 9 is your expression

Step-by-step explanation:

Decreased means subtraction and the product of any two numbers is multiplication.

Division Keyword: Divided by, or Quotient of.

Multiplication Keyword: Product of, or Multiplied by.

Subtraction Keyword: Subtracted from, or Decreased by.

Addition Keyword: Added to, or Increased by.

If there is no Variable then place the common Variables: X, Y, Z.

Answer:

The expression is 5x-9.

Step-by-step explanation:

Product means to multiply, so you will multiply 5 and x which equals 5x

Decreased means subtracting, so you will subtract 9

Answer:

Nope! It's irrational.

it would be if it was 53/12 tho!

Answer:

[tex]Rate = 15[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 56 - 0.020x^2[/tex]

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]

In this case:

[tex]a = 1000[/tex]

[tex]b = 1050[/tex]

Now, we have:

[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

Calculating R(1050)

[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]

[tex]R(1050) = 58800-22050[/tex]

[tex]R(1050) = 36750[/tex]

Calculating R(1000)

[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]

[tex]R(1000) = 56000- 20000[/tex]

[tex]R(1000) = 36000[/tex]

So:

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

[tex]Rate = \frac{750} {50}[/tex]

[tex]Rate = 15[/tex]

The average rate of change is 12

Answer:

Molly: 21

Page: 14

Demi: 7

Step-by-step explanation:

Hope this helps! ;)

Answer:

hello good evening

be happy always

Given:

The two functions are

[tex]f(x)=3x+1[/tex]

[tex]g(x)=x^2-6[/tex]

To find:

The function (f+g)(x).

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

Putting the values of given functions, we  get

[tex](f+g)(x)=3x+1+x^2-6[/tex]

[tex](f+g)(x)=x^2+3x+(1-6)[/tex]

[tex](f+g)(x)=x^2+3x-5[/tex]

Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].

Answer:

10

Step-by-step explanation:

Answer:

-3⁵

Step-by-step explanation:

3⁶ / -3 = -3⁶ * -3⁻¹ = -3⁶⁻¹ = -3⁵

Answer:

(-3)⁶/(-3) = {(-3)×(-3)×(-3)×(-3)×(-3)×(-3)}/(-3) = (-3)⁵

Answer:

not rlly

Step-by-step explanation:

you need more information to solve that type of equation

Answer: NO

Step-by-step explanation:

Given

y=x²-7x

Substitute the [solution] into the equation

y=x²-7x

2=(4)²-7(4)

2=16-28

2=-12

2≠-12

Therefore, (4, 2) is not a solution

Hope this helps!! :)

Please let me know if you have any questions

The answer is 87.12

Just check it once

Answer:

87.92

that is the answer

3.14(4^2+12)

this is how it looks in normal form without a and b

4^2 is going to be 16

16+12= 28

3.14 times 28= 87.92

Step-by-step explanation:

Answer:

is there supposed to be answer choices?

Step-by-step explanation:

Answer:

2.11

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

    Prime number  to the power of  equals .

    Prime number  to the power of  equals .

Answer:

7 x (y+1/3)

because you take the sum in a parentheses to follow PEDMAS and then multiply the sum by 7

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The algebraic expression of 7 times the sum of y and 1/3 is

7/3 (3y + 1).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

7 times the sum of y and 1/3

This can be written as,

= 7 (y + 1/3)

=7 (3y + 1) / 3

= 7/3 (3y + 1)

Thus,

The algebraic expression of 7 times the sum of y and 1/3 is

7/3 (3y + 1).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

D

Step-by-step explanation:

Answer:

Each pencil cost $0.51

Step-by-step explanation:

Answer:

37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

Leg a = 35

Leg b = 12

Hypotenuse c

Step 2: Solve for c

Answer:

the correct answer is 7

....... hope it helps you

Answer:

[tex]thank \: yo[/tex]

Answer:

I believe the answer is C

Answer:

I think answer is C

Step-by-step explanation:

Becausr A B AND D ARE SAME FORM OF WRITTING

40m+35=

Step-by-step explanation:

I'm not sure but I think it is this

40m+35=

Answer:

3 aaaaaaaaaaaaaaaaaa

Step-by-step explanation:

What's the question?

Answer:

48 kilometers

Step-by-step explanation:

If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)

Answer:

turn it into y=mx+b

Step-by-step explanation:

get y alone

add 8x to both sides

9y=63+8x

divide both sides by 9

63/9=7 8x/9= [tex]\frac{8x}{9}[/tex]

simplify

Answer:

y = 0.8x + 7      or

y = [tex]\frac{4}{5}[/tex]x + 7

Step-by-step explanation:

The slope intercept formula is: y = mx + b

9y - 8x = 63

    +8x    +8x

=  9y = 63 + 8x

    9y/9 = 63/9 + 8x/9    ←                                                                                  

We're getting rid of the 9 beside the y, so we have to divde every number by 9.

=     y = 0.8x + 7     if you want the 0.8 as a fraction, it'll be [tex]\frac{4}{5}[/tex]

Answer:

THe taxi ride was 18 miles

Step-by-step explanation:

I know this because 14x2=28 and they said the total was $29 and there was a $1  pickup fee

Answer:

14 miles

Step-by-step explanation:

29(the total sum) minus 1(the base fee) 28 divided by 2 equals 14 miles

Answer:

C. 14

Step-by-step explanation:

The whole side is 28 (AB), so AD must be half of AB. 28/2=14