8. The floor of a rectangular meeting
room has a raised platform that is the
same length as the room. The whole
room has an area of 461 square yards.
Raised Platform
TS
7 yards
22/2
Part A
What is the total width of the room?
Write an equation to model your work.
70476/133
704
15
2
Part B
45
Suppose the area of the platform is
73 square yards. What fraction of the
entire floor is the raised platform?
Write an equation to show your work

8. The Floor Of A Rectangular Meetingroom Has A Raised Platform That Is Thesame Length As The Room. The

Answers

Answer 1

The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

A) Given the area of room = 46 14/15 = 704/15

Area = Width × Length

W × 7 1/3 = 704/15

W × 22/3 = 704/15

W = 704/15 × 3/22

W = 6.4

B ) Given the area of the platform as 7 37/45 = 352/45

Area of total room = 704/15

Fraction of  raised platform area to the total area = (352/45) / (704/15)

⇒ (352/45) × 15/704

⇒ 352/2112 = 1/6

Hence "The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6".

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Related Questions

Which expression is equivalent to (3x−4y5)−2?

−9x8y10
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity

Answers

The equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity. Option A

What are index forms?

The index form of a number can be defined as the number written as an exponential expression.

It is expressed as a single number raised to another number.

Index forms are also called standard forms or scientific notations.

Index notation is also a way of representing variables or constants multiplied by themselves a number of times.

What are equivalent expressions?

Equivalent expressions are expression having same solution but different  arrangement of variables.

Given the expression;

(3x^−4y5)^−2

Multiply the exponents

x^8/ 9y10^

Thus, the equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity. Option A

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3
f(x) = 7x - 5x
The function is
oddlever
because
f(-x) = f(x)
f(-x) = -f(x)

Answers

when testing for ODD or EVEN behaviour in a function, let's recall that we check what would the original function be if we were to use the argument -x in it?  well, hell let's do that and check what's cooking.

keeping in mind that if EVEN, we'll get back the original function, if ODD well get back a negative version of the original function.

[tex]\stackrel{original}{f(x)=7x^3-5x} \\\\[-0.35em] ~\dotfill\\\\ f(~-x~)=7(-x)^3-5(-x)\implies f(~-x~)=7(-x)(-x)(-x)-5(-x) \\\\\\ f(~-x~)=7(-1)(x)(x)(x)+5x\implies f(~-x~)=-7x^3+5x \\\\\\ f(~-x~)~~ = ~~-\underset{f(x)}{(7x^3-5x)}\qquad \leftarrow \qquad \stackrel{\textit{\LARGE odd}}{\textit{negative version of the original}}[/tex]

LaTanya buys 5 yards of blue fabric and 8 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $62. What would be the combined cost of 1 yard of blue fabric and 1 yard of green fabric? LaTanya buys 5 yards of blue fabric and 8 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $62. What would be the combined cost of 1 yard of blue fabric and 1 yard of green fabric?

Answers

The price of green fabric = $4 and the price of blue fabric is $6.

How to illustrate the information?

It should be noted that LaTanya buys 5 yards of blue fabric and 8 yards of green fabric and the blue fabric costs $2 more per yard than the green fabric.

Let the price of the green fabric = x

Price of blue fabric = x + 2

Therefore, the expression will be:

5(x + 2) + 8(x) = 62

5x + 10 + 8x = 62

13x = 62 - 10

13x = 52

Divide

x = 52/13

x = 4

The price of green fabric = $4

The price of blue fabric = $4 + $2 = $6

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What is the x and y intercept according to this graph?

Answers

Answer:

y = 150

Step-by-step explanation:

As the graph is a straight line, there is no need for

Hope this helps, I would appreciate it if u could mark me as the brainliest. Thks

It’s undefined because it’s a straight line

60 is the last option

Answers

Answer:

its 40° because they're linear pairs

Step-by-step explanation:

both angle 1 and 3 are 40°

Answer:

The answer is 40°

Step-by-step explanation:

Angles that are opposite of each other are always equal.

Use the slope formula to solve for the slope

Answers

Answer:

Step-by-step explanation:

To solve the slop, you need to do the rise/run formula

y2-y1/x2-x1

3-0/2-(-2)

3-0/2+2=3/4

Is $24 Dave’s after 3 weeks ;$52 saved after 7 weeks equivalent

Answers

The statement "Is $24 Dave’s after 3 weeks;$52 saved after 7 weeks equivalent" is false

This is further explained below.

What is equivalence?

Generally, Expressions are considered to be equivalent if their function is the same despite their appearance being distinct.

If two algebraic expressions are equivalent to one another, then those two expressions will provide the same result when we use the same value for the variable in each expression.

In conclusion,

Firstly, we consider what Dave saves in one week will be,

Since $24 Dave’s after 3 weeks we have

One week =24/3

one week=$8

Therefore

7 weeks =$56

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32 divided by 11 =some sort o' mixed number

Answers

Answer:

2.9 over 1

Step-by-step explanation:

What is the scale being used for the image with a book 1.5 inches by 3 inches?

Answers

When the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer the scale is 1 inches : 6 inches.

How to illustrate the information?

It should be noted that from the information, the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer.

Therefore, the actual book is 9 inches wide, the scale factor that was used till be:

= Original width / New width

= 9 / 1.5.

= 6.

Therefore the scale factor that was used is 1 inches : 6 inches.

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an image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. What scale is being used?

If f(x) = x^2/2-13, what is the value of f(6) ?

Answers

The answer is f(6)=5

Step-by-step explanation:

(6*2/2)-5=5

What is MxN simplified

Answers

M x N simplified is M x N.

Answer:

MN

Step-by-step explanation:

When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F.

Answers

Answer:

-3°F

Step-by-step explanation:

WOW

do 3-6 ok which is -3°F

Please help me 100 points
What's
[tex] \sf t0e_{12} + tee_{12}[/tex]

Answers

Answer: 12e(et+OT)

Step-by-step explanation:

Answer:

12e(et+OT)

Hope it helps <3

Try it! 10). A boat travels 20 miles in 1/4 hour. How many miles will it travel in 3 hours​

Answers

Answer:240

Step-by-step explanation:

20 times 4 =80

80 times 3 = 240

8TH GRADE MATH X AND Y AXIS PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gail height increased by 24 is 50

Answers

Gail height increased by 24 is 50 is g + 24 = 50

Before we begin, note the following:

a increased by b means that we will add a and b, In other words, the expression would be a + b

Now, for our problem:

We have "g" as Gail's height.

The given information is as follows:

i. Gail's height increased by 24 means that we will add g and 24.

ii. Gail's height increased by 24 is 50 means the increased height is equal to 50.

Hence, Based on the above, the expression is: g + 24 = 50

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solve each equation (absolute value)
a) |3-|2-x||=6
b) |3x-2|+x>= 4
c) ||2x-1|-2|>3

Answers

The absolute values solved for x are:

x = 1 x = 1/2 x> 0

What is absolute value?

Absolute value of a number can be defined as the distance of the number from zero on the number lines.

It is also said to be the value of a number irrespective of its sign.

The absolute value of a number must take a positive sign.

It is denoted with the symbol, '| |'

Given the equations;

a. ) |3-|2-x||=6

Take the absolute value

3 + 2 + x = 6

collect like terms

x = 6 - 5

x = 1

b) |3x-2|+x>= 4

Take absolute values

3x + 2 + x = 4

collect like terms

4x = 2

make 'x' the subject

x = 1/ 2

c) ||2x-1|-2|>3

Take absolute values

2x + 1 + 2 > 3

collect like terms

2x > 3 - 3

x > 0

Thus, the absolute values solved for x are x = 1, x = 1/2 and x> 0

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Consider the infinite geometric sequence that has a third term equal to -1/6 and a sixth term equal to -1/1296. What is the sum to infinity of the terms of this sequence?

Answers

The sum to infinity of the terms of this sequence is -36/5

What is the sum to infinity of the terms of this sequence?

The given parameters are

T3 = -1/6

T6 = -1/1296

The nth term of a geometric sequence is

Tn = a * r^(n-1)

So, we have

T3 = ar^2

T6 = ar^5

Divide both equations

T6/T3 = ar^5/ar^2

Evaluate the quotient

T6/T3 = r^3

Substitute T3 = -1/6 and T6 = -1/1296 in T6/T3 = r^3

(-1/1296)/(-1/6) = r^3

Evaluate the quotient

1/216 = r^3

Take the cube root of both sides

r =1/6

Substitute r =1/6 in T3 = ar^2

T3 = a(1/6)^2

This gives

T3 = a/36

Substitute T3 = -1/6 in T3 = a/36

a/36 = -1/6

This gives

a = -6

The sum to infinity of the terms of this sequence is

S = a/(1 - r)

This gives

S = -6/(1 - 1/6)

This gives

S = -6/(5/6)

Evaluate

S = -36/5

Hence, the sum to infinity of the terms of this sequence is -36/5

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Hi can someone please help me with this!

Answers

Answer:

The larger figures are 3 times larger than the smaller figures.

Scale factor 3?

Step-by-step explanation:

The larger figures are 3 times larger than the
smaller figures.

39.82kg + 6.056kg + 4978kg

Answers

Answer:

5023.876 kilograms

Step-by-step explanation:

(39.82 kg) + (6.05600 kg) + (4978 kg) =

5023.876 kilograms

I hope this helped :)

the circle's arc can be measured in any unit of measure for what?

Answers

Answer:

angles in radians

Step-by-step explanation:

look

flor compró 2 enterOS 5/8 m de la tela roja, 1 entero 1/3 m de la tel< azul y 3 enteros 1/6m de la tela amarilla ¿cuantos metros de tela compró en total.

Answers

The fraction of the fabric is 7 3/24m.

How to calculate the fraction?

It should be noted that from the information, Flor bought different fractions of fabric and we want to calculate the total.

Therefore the total fractions will be:

= 2 5/8 + 1 1/3 + 3 1/6

= 2 15/24 + 1 8/24 + 3 4 / 24

= 6 27 / 24.

= 7 3/24

The total fraction is 7 3/24 m.

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Solve the quadratic equation by using a numeric approach. x squared + 8 x + 16 = 0 a. x = 1 c. x = 5 b. x = -4 d. x = -8 Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is b. x = -4

A packing crate can hold 205 avocados. There were 7,000 avocados picked at a large grove. The owner has 36 packing crates. Does he have enough crates to ship out the avocados? Explain.

Answers

Answer: He does have enough crates to ship out the avocados.

Step-by-step explanation: 205 avocados fit inside a shipping container. At a big grove, 7000 avocados were picked. 36 cargo containers belong to the owner. As a result, he can fit a total of = avocados. And since he has 7000 avocados, he does indeed have enough crates to carry the fruit.

Answer:

Yes

Step-by-step explanation:

This is because, as we know, the owner has 36 crates that can hold 205 avocados. There are 7000 avocados so using no more than the 36 crates, 205 x 36 = 7,380. So, using less than 36 crates, and not surpassing the number of avocados that can be shipped, all 7000 avocados can be shipped.

Melody can run 3 miles for every half hour she is out running. Write an equation to represent the
proportional situation.

Answers

Answer:

y = 6h  h = hour

Step-by-step explanation:

I NEED HELP BADLY!! 25 POINTS PLEASE PLEASE HELP

The coordinates of the vertices of quadrilateral ABCD are (−6,−1), (−5,2), (−1,−5), and (0,−2). Parker states that quadrilateral ABCD is a parallelogram. Prove or disprove Parker’s statement.

Answers

As the length of the sides AD ≠ BC the given quadrilateral ABCD is not a parallelogram.

What approach proves the lines are parallel?

To prove that the given lines are parallel we have to determine their slope if the slope if equal then the lines are parallell.

We know that a quadrilateral is a parallelogram when opposite lines are of the same length and opposite lines are parallel to each other.

Given a quadrilateral, ABCD has coordinates A(−6,−1), B(−5,2), C(−1,−5), and D (0,−2).

∴ The quadrilateral ABCD t be a parallelogram length of AB = DC and length of AD = BC.

We know the distance formula is [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

So, lenght of AB = [tex]\sqrt{ (-5+6)^2 + (2 + 1)^2[/tex].

AB = [tex]\sqrt{ 1 + 9}[/tex].

AB = [tex]\sqrt{10}[/tex] units.

Lenght of DC = [tex]\sqrt{(0+1)^2 + (-2+5)^2}[/tex].

DC = [tex]\sqrt{10}[/tex] units.

Now length of AD = [tex]\sqrt{0+6)^2 + (-2+1)^2[/tex].

AD = [tex]\sqrt{ 37}[/tex] units.

Length of BC = [tex]\sqrt{(-1+5)^2 + (-5+2)^2[/tex].

BC = [tex]\sqrt{25}[/tex].

BC = 5 units.

As BC AD therefore quadrilateral ABCD is not a parallelogram.

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A central angle of 100˚ has a corresponding arc length of 28 cm.
What is the radius of the circle?

Answers

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta = 100\\ s=28 \end{cases}\implies 28=\cfrac{(100)\pi r}{180}\implies 28=\cfrac{5\pi r}{9} \\\\\\ 252=5\pi r\implies \cfrac{252}{5\pi }=r\implies 16.04\approx r[/tex]

I’ll give points + brainalist

Answers

The line which is parallel to the given line y = -2x/3 + 1 is 2x+3y=-18, there slopes are equal

How to fine the line that is parallel to the given line

Given data

line y = -2x/3 + 1

The equation of a line is represented as y = mx + c where m represents the slope. The unique feature of parallel line is that the slopes are equal.

Hence we find the line that has same value of m which is the slope

using the second option: 2x+3y=-18

2x + 3y = -18

3y = -2x - 18

y = -2x/3 - 6

the slope here is m = -2/3 which is equal to the slope of the given equation and hence the correct option

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What is the value of x in the equation 5 x-2=182
O-50
O-40
O-8
O-6

Answers

Answer:

Answer is 36.8

Step-by-step explanation:

There's something wrong in your question... Because...

5x-2=182

5x=182+2

5x=184

5x/5=184/5

X=36.8

Christa and Megan have sales jobs at different companies. Christa earns $18 for each successful sales call she
makes plus 3% commission on her sales. Megan earns $21 for each successful sales call she makes plus 3.5%
commission on her sales. In July, Christa made 35 successful sales calls and Megan made 29 successful sales calls.
They each had the same sales, in dollars, for July, and they made the same total salary that month. Which equation
can be used to find x, the amount Christa and Megan each had in sales in July?

Answers

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the amount Christa and Megan each had in sales in July. Hence:

For Christa = 18(35) + 0.03x

For Megan = 21(29) + 0.035x

630 + 0.03x = 609 + 0.035x

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

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