Two rectangular rugs are ordered at Cardi’s furniture: small rugs and large rugs.

Small rugs are 36 inches long and 18 inches wide.

Large rugs are 90 inches long and 45 inches wide.

a. Are the rugs similar shapes? Explain your reasoning.

b. Find the ratio of the two perimeters and the ratio of the two areas. Is there anything you notice about these ratios? What can you deduce?

c. It takes 180 feet of yarn to create a square foot of either rug. How many inches of yarn are needed to make the small rug? How many feet or yarn is needed to make the large rug?

d. If a “skein” of yarn costs $4.50 and one skein is exactly 180 feet of yarn, how many skeins of yarn are needed to make the large rug? Given this answer what is the lowest Cardi’s must sell the large rug in order to make a profit

PLEASE HELP EVEN IF U CAN ANSWER JUST 1

Answers

Answer 1

Answer:

a.) yes they are similar shapes, the width for both rugs is 1/2 of the length. This means that they are both similar in shape.

b.) 2:5 (perimeter rug 1 and 2 compared), 4:25 ( area for 1 and 2). The numers in the perimeter ratio are the square root of the numbers in the area ratio.

c.) You will need 648 sq in for the small rug and 4050 sq in for the large rug.

d.) 2:  she has to sell the large rugs x>$9 and the small rugs for s>$1.50

Step-by-step explanation:

total perimeter for rug 1 = 108   For rug 2 = 270

area for run 1 = 648 For rug 2 = 4050

180 ft =  2150 in

The large rug needs two skeins of yarn which cost 9 dollars, if she wants to make a profit she will have to sell them over that price.

You can make 3 small rugs with one skein meaning if she wants to make a profit from the small rugs she has to sell them over 1/3 of the price of the skein (which is sold for $4.50). She will have to sell the small rug for over $1.50


Related Questions

Vincent had 97 rocks in his collection. He found 48 more at the beach. How many did he have in all ?

Answers

Answer:

145

Step-by-step explanation:

97+48

7+8=15

9+4+1=14

145

HELPPP PLEASEEEEEEE I NEED HELP

Answers

Answer:

Part A:   -3x^8 + 2x^5 + 4x^3

Part B:   8

Part C:   3

Part D:   -3x^8

Part E:   -3

Step-by-step explanation:

A. Standard polynomial is :

[tex] - 3 {x}^{8} + 2 {x}^{5} + 4 {x}^{3} [/tex]

B. Degree of the polynomial is : 8

C. Number of terms are : 3

D. Leading term of the polynomial is:

[tex]-3 {x}^{8} [/tex]

E. Leading co effecient of the polynomial is: -3

Sara bought 12 feet of fabric to make curtains. She needs to cut it into 1/4 foot sections. How many sections of fabric will she have.

Answers

Answer: 48 sections

Step-by-step explanation:

Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.

The number of sections she will have if she does so is:

= Total length of fabric / Length of sections

= 12 ÷ 1/4

= 12 * 4/1

= 48 sections

Out of the 96 customers at Jamie's boutique, 28 wore a size medium.
What is the probability that a randomly selected customer wore a size medium?

Answers

Answer:

7/24

Step-by-step explanation:

The probability would be 28/96, but we can simplify this fraction:

Divide 2 on both sides:

14/48

Divide 2 again:

7/24

So 7/24 is your answer! :) I hope I helped!

any help would be cool

Answers

Step-by-step explanation:

the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .

hint : volume : h×l×w ( height times length times width)

so the cubiod is 12 times 29 times 12 =

you work out the answer for that .

the triangular prism you try working out the volume.

If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?

Answers

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

The  number is added is 7/2² or 49/4.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x² + 7x – 27 = 0.

Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x

So, x² + 7x – 27 +7/2² - 7/2² = 0.

( x+ 7/2)² – 27- 49/4 = 0.

( x+ 7/2)² = 157/4

Hence, the number is added is 7/2² or 49/4.

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Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s

Answers

The slope is 4 m/s
Hope this helps

Answer:

4 m/s

Step-by-step explanation:

VA
Explain how you would find the coordinates of the image
of (5, 2) if it was reflected over the x-axis and then that
image was reflected over the y-axis. What would be the
end result?

Answers

Answer:

srry that the two people here befre me didnt help you

Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

if u dont want to write the paragraph make sure t have this in your sentence

Negate the y-coordinate.

Negate the x-coordinate.

Get the point (–5, –2).

you read 165 pages in 3 hours find the unit rate

Answers

Answer:

55 pages per hour

Step-by-step explanation:

You divide 165 by 3 = 55

Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please

Answers

Answer:

200 box 1 / 400 box 2

box 2 Step-by-step explanation:

200 + 400 = 600

Answer:

Hello asuna here

600 would be your answer

Step-by-step explanation:

Hope this helps

Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?

Answers

Answer:

45 degrees

Step-by-step explanation:

A straight angle is equal to 180, so subtract 135 from 180

Answer:

45

Step-by-step explanation:

A: 5x²+3xy +2y B: 2y²-xy +4x²
С: 12xy+4x²-3y. then :- 1) А-В-С , 2) 2A+3B+4C 3)3A-4B--2C. pls help me will mark u as brainliest ​

Answers

Answer:

-3x² -2y² -8xy +5y

34x² + 51xy - 8y + 6y²

7x² - 11xy +12y - 8y²

Step-by-step explanation:

Given:

A: 5x²+3xy +2y

B: 2y²-xy +4x²

С: 12xy+4x²-3y

Find:

1) А-В-С

2) 2A+3B+4C

3) 3A-4B--2C

Computation:

1) А-В-С

5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]

5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y

-3x² -2y² -8xy +5y

2) 2A+3B+4C

2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]

10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y

34x² + 51xy - 8y + 6y²

3) 3A-4B-2C

3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]

15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y

7x² - 11xy +12y - 8y²

What is the volume of the following rectangular prism pls pls pls pls pls pls pls pls p

Answers

Answer:

Step-by-step explanation:

V = l * w * h

l = 2

h = 2

w = 7/3

Volume = 2 * 2 * 7/3 = 28/3 = 9 1/3 or 9.3333

Write a rule for the linear function in the table.


A.
f(x) = –x + 1


B.
f(x) = x – 1


C.
f(x) = x


D.
ƒ(x) = –x

Answers

Answer:

i keep getting different stuff

Step-by-step explanation:

4 x − 5 + y = 0

x + 6 y = 5

6 x − 3 y =12

3 x + y = 16

6 x − 3 y = 12

3 x + 4 y = − 5

Solve for p.
16p = 160

Answers

Answer

160 divided by 16 = 10

Answer: 16p=160:

P = 10

Step-by-step explanation:

If you times by ten at any time then just add a zero to the end. So just add a zero to 16 to make it 160

In this case your going to solve it like this:

160 / 16 = 10

I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.

Answers

Answer:

option 1 i think

Step-by-step explanation:

imma just take these 5 points back

help, look at picture

Answers

Answer:

y= 5/3 which is 1 2/3

Step-by-step explanation:

trust me

y=5/3

.......................

Factor-
2x^2+5x+3

Answer choices:
1. (2x+1)(x+3)
2. (2x+5)(x+1)
3. (2x+3)(x+1)
4. The Polynomial Is Prime

Factor-
3x^2+10x+4

Answers
1. (3x-4)(x-1)
2. (3x-2)(x-2)
3. (3x-4)(x+1)
4. The Polynomial Is Prime

Factor -
8x^2+10x-3

Answers
1. (2x-1)(4x+3)
2. (2x+3)(4x-1)
3. (8x+1)(x-3)
4. The Polynomial Is Prime

Factor-
6x^2-7x-4

Answers
1. (2x+2)(3x-2)
2. (6x+2)(x-2)
3. (6x-4)(x+1)
4. The Polynomial Is Prime

Factor Completely
2x^2+x-28

Answers
1. (2x+1)(x-28)
2. (2x-7)(x+4)
3. (2x+7)(x-4)
4. (2x-7)(2x+8)​

Answers

1. (2x + 3)(x + 1)
2. Prime
3. (4x - 1)(2x + 3)
4. Prime
5. (2x - 7)(x + 4)

Step-by-step explanation:

(2x+3)(x+1)prime(2x+3)(4x-1)The Polynomial Is Prime (2x-7)(x+4)

Round 0.9271 to the nearest whole number.

Answers

Answer:1

Step-by-step explanation:

Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000

Answer:

1 is round off of 0.9271to the nearest whole number.


3 x (5 + 7)
What two words can describe (5 + 7) in the expression above?
O A. quotient and factor
OB.
difference and factor
OC. sum and factor
OD. sum and quotient

Answers

C. A sum and a factor. The sum would be because of the plus sign and it’s in factored form.

The expression contain sum and factor.

The correct option is (C).

What is Expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Given:

3 x(5+7)

In the Above Expression we have two operation Multiplication and Addition.

Also, the Multiplication is also termed as factor.

Hence, the expression contain sum and factor.

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2/16 2 + x = 12
what is the answer to this equation?

Answers

Answer:

nomelase pero será chida la imagen que tienes

you ride through some wet paint on your bike creating a red spot on the tire. write a cosine equation to model the height of the red spot over the distance you ride.
Your bike tire has a radius (r) of 11 inches.
The period is the circumference of the tire (2pir)
start the cycle when the spot is at the top of the tire

Answers

Answer: y = 11 cos (1/11x) +11

Step-by-step explanation:

Writing a cosine equation to model the height of the red spot over the distance you ride will be:

D. [tex]y=11 cos (1/11x) + 11[/tex]

Some cosine formulas are:

[tex]cos A= (b2+c2-a2)/(2bc)[/tex]

What is a cosine equation?

A cosine equation or formula is is one of the three most common trigonometric function. It is the trigonometric function that equals the ratio of the side adjacent to an acute triangle to the hypotenuse.

Therefore the correct answer is option D.

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melitón se comió 3 rebanadas de una pizza pequeña de seis rebanadas Cómo se representa una fracción​

Answers

Respuesta:

[tex] \frac{3}{6} [/tex]

Explicación:

El numerador es lo que melitón se comió...

Y el denominador son las porciones (rebanadas) en que esta dividida la pizza.

what is six and eight seven thousandths as a decimal

Answers

Answer:

6.087

Step-by-step explanation:

0.000

^ones

   ^tenths

      ^hundredths

         ^thousandths

During the rainstorm last week, Dwight and his sister wanted to see how much rain they could collect. In order to do this, they put out 12 three-and-a-half liter containers. Each of these containers was filled four times during the storm. How much rain was collected in all?

Answers

Answer: 168 liters

Step-by-step explanation:

From the information given , we are informed that they put out 12 three-and-a-half liter containers and that each of these containers was filled four times during the storm.

The amount of rain that was collected in all goes thus:

Since each container was filled 4 times, the amount filled by each container will be:

= 3 1/2 liters × 4

= 14 liters

Therefore, the total amount for the 12 containers will be:

= 12 × 14 liters

= 168 liters

Pleasee helpppp
If you are using indirect measurement, what is true?



A.You must convert dimensions to the same unit of measurement.


B.You do not have to convert dimensions to the same unit of measurement.

Answers

Answer:

The anwser is B forsho

Step-by-step explanation:

'Direct measurement' refers to measuring exactly the thing that you are looking to measure, while 'indirect measurement' means that you're measuring something by measuring something else. For example of direct measurement is weight, distance, and so on.

The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 453 If s = 2.5 units, what is the value of V?​

Answers

Answer:

in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units

Step-by-step explanation:

Angela can paint 3 sections in 25 minutes.
How many minutes will it take Angela to
paint 12 sections?

Answers

Answer:

Análisis del problema

Nos dan como datos el tiempo que se tarda cada uno en pintar la habitación:

Gerardo: 3 horas

Ángel: 6 horas

La velocidad de trabajo podemos definirla como dada por la cantidad de habitaciones que pueden pintar sobre el tiempo: H/t

Gerardo: 1 hab /3h

Ángel: 1 hab / 6h

Sumamos ambas velocidades de trabajo:

Por lo tanto entre los dos pintarían una habitación en dos horas.

does anyone know what this is ?

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007?

Answers

Answer:

370 stores

Step-by-step explanation:

Given data

initial number of stores P= 200

r= 8%

t= 1999-2007=  8 years

Let us apply the compound interest expression to find the final amount of stores

A= P(1+r)^t

A= 200(1+0.08)^8

A= 200(1.08)^8

A= 200*1.85

A=370

Hence the number of stores in 2007 is 370 stores

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