Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 560 square feet of carpeting. What dimensions should the rug​ have?

Answers

Answer 1

Answer:

[tex]D=(20.42)(28.42)[/tex]

Step-by-step explanation:

From the question we are told that

Width [tex]W=24ft[/tex]

Length [tex]L=32ft[/tex]

She can afford to buy 560 square feet of carpeting

Let

[tex]S=width\ of\ strip[/tex]

Generally the Dimension of the rug is mathematically given as

Width of Rug [tex]W' = (24- 2S)ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

Generally the width of strip S is mathematically given by

[tex](32-2s)*(24-2s)=560[/tex]

[tex]-4s-112s+208=0[/tex]

[tex]s_1=-29.7\\s_2=1.748[/tex]

Therefore the width is

[tex]s=1.748[/tex]

Generally the dimension of the rug D is mathematically given as

Width of Rug [tex]W' = (24- 2s)ft[/tex]

[tex]W' = (24- 2(1.79))ft[/tex]

[tex]W' =20.42ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

[tex]L'= (32-2(1.79)) ft[/tex]

[tex]L'=28.42 ft[/tex]

Therefore dimension of Rug is given by

[tex]D=(20.42)(28.42)[/tex]


Related Questions

Help me it’s urgent

Answers

Answer:

35x16=560

Step-by-step explanation:

Answer:

2.19 i guess

Step-by-step explanation:

I don't really know the actual ans

Find the mean of 65, 67, 69, 67, 63, 60,60

Answers

Answer:

64.428

Step-by-step explanation:

well to find the mean we add all of the numbers up and then divide it by the amount of numbers in the sequence

so if we add all of the numbers up it will give us

451

then if we divide that by the number of numbers in the sequence which is 7 then that will leave us with

around 65 or exactly it would be

64.428

Typing for points hhgfdhhfvnkkkj

I will give brainlest.

Answers

Answer:

it is option A hope it helps

What is the perimeter of this triangle? 16 ft 8 ft 4 ft 12 ft

Answers

Answer:

40

Step-by-step explanation:

16 + (4+12) = 32 + 8 = 40

33+2 + 33
How do I solve this

Answers

Answer:

68

Step-by-step explanation:

33+2= 35

35+33=68

you do pemdas so basically add from left to right so it would be 33+2+33= 68

What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3

Answers

Answer:

[tex]Z=(-2.5,5)[/tex]

Step-by-step explanation:

From the question we are told that

Point [tex]a=(-4,10)[/tex]

Point [tex]b= (2,-10)[/tex]

Ratio [tex]r=1:3[/tex]

Generally the section formula is mathematically given as

[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]

[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Generally the point P(x,y) is mathematically given as

[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]

[tex]x=-2.5[/tex]

[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]

[tex]y=5[/tex]

Required Co-ordinates Z is

[tex]Z=(-2.5,5)[/tex]

A watermelon weights 6.45 kilograms. How many grams does the watermelon weigh?

Answers

Answer:

6450

Step-by-step explanation:

Answer:

6450

Step-by-step explanation:

Multiply the value by 1000.

(-2,-4) and (-1, -5)​

Answers

36 I think

If this right can I get brain loser.

Answer:

sorry I am very sorry to say your question is incomplete. best of luck

What is a slope in mathematical terms

Answers

Answer:

"The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)." 

Answer:

It is how steep a linear graph/function is.

Step-by-step explanation:

It is the m in the formula y=mx+b. The bigger the member the steeper.

Solve the expression. xy + x When x= -10 y= -5

Answer choices
-60
40
-40
60

Answers

Answer:

40

Step-by-step explanation:

xy + x         x= -10    y= -5

Plug in the given values and remember that multiplying two negative numbers makes the product positive.

(-10)(-5) + -10

50 - 10

40

Answer:

2. 40

all you have to do is fill in the letters with their values.

Step-by-step explanation:

xy + x = ?

-10 (-5) + (-10) = ?

50 + (-10)= 40

40 = 40

Hope this helps please mark brainliest:)!

Simplify the expression: (7x + 4)(2) = ​

Answers

Answer:

14x+8

Step-by-step explanation:

Tell whether the ratios form a proportion. 30/75, 24/60

Answers

Given:

The ratios are  [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].

To find:

Whether the ratios form a proportion or not.

Solution:

If two ratios represent the same relationship then they form a proportion.

We have,

[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]

Write the given ratios in the simplified forms.

[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]

[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]

And,

[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]

[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]

Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.

DO NOT SIMPLIFY YOUR ANSWERS
Sam owns a canoe rental company with 120 boats. He has 55 wood boats, and the rest are fiberglass. What is the ratio of...
fiberglass boats to wood boats?
total boats to fiberglass boats?
wood boats to other boats?
wood boats to total boats?
*answers are NOT TO BE SIMPLIFIED. YOU MUST use the colon key. . NO SPACES
Oulz saved

Answers

Answer:

Step-by-step explanation:

13/11,24/13,11/13,11/24

Answer:

65:55, 55:65, 55:120

Step-by-step explanation:

Fiberglass boats are = 65 because 120-55=65

Fiberglass to wood means that there is a 65:55 ratio because there are 65 fiberglass boats and 55 wood boats

wood to other, this is kind of a trick question, but its 55:65 because there are 65 other boats and 55 wooden boats

wood to total, this is 55:120 there are 55 wood boats and 120 total boats.

a reflection of the pink triangle is shown. which transformation makes this reflection

Answers

Answer:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.

Find the area of this composite figure.

Answers

Answer: 171 cm

Step-by-step explanation: im not sure if this is right but

9x12=108

9x7=63

108+63=171

Area of triangle = ½bh
Area of rectangle = bh

Total area = Area of triangle + Area of rectangle

Area of rectangle = (12 cm)(9 cm)
Area of rectangle = 108 cm²

Area of triangle = ½(9 cm)(7 cm)
Area of triangle = ½(9 cm)(7 cm)
Area of triangle = 31.5 cm²

Total area = 31.5 cm² + 108 cm²
Total area = 139.5 cm²

Answer: 139.5 cm²



I need help with this question for my math hw. Please Help!

Answers

9514 1404 393

Answer:

  1. 2x +2y = 310; x -y = 55

  2. y = 50, x = 105

Step-by-step explanation:

Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...

  2x + 2y = 310

The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...

  x - y = 55

__

We can divide the first equation by 2, and subtract the second.

  1/2(2x +2y) -(x -y) = 1/2(310) -(55)

  2y = 100 . . . . . . . simplify

  y = 50 . . . . . . . . . divide by 2

  x -50 = 55   ⇒   x = 105 . . . . use the second equation to find x

The two numbers are 105 and 55.

help please i need the answer asap

Answers

Answer:

Option 2

Step-by-step explanation:

Answer:

Graph 2

Step-by-step explanation:

exponential growth means that the line is increasing

Sydnie scored 74 points in Round Two of a talent competition. This is 7 points less than three times her score in Round One. Which equation should be used to find Sydnie’s score in Round One?

Answers

the correct answer would be, 74+7x3 which equals 95. her score in round 1 was 95 points.

Dylan's hiking club is planning to stay overnight at a camping Lodge. Each large room can hold 15 hikers. There are 178 hikers. How many rooms will they have?

Answers

Answer:

12

Step-by-step explanation:

u will need 12 rooms because 15 hikers per room so 178 divided by 15 equals 11.87 so just round that up to 12

I don’t understand at all

Answers

What is going on? it doesn't make any sense.

help please lol yuhaaaaaas

Answers

Answer:

When you read the points on the graphs answer choice A is the only answer choice with all of the points grasped correctly.

Form a sequence that has two arithmetic means between 13 and 88.
a.
13, 38, 63, 88
c.
13, 25, 25, 88
b.
13, 88, 163, 238
d.
13, 50.5, 88

Answers

Answer:

a.13,38,63,88

Step-by-step explanation:

they have the same common difference which is 25

Here are the readings from a water meter.
Meter reading
November 2015
6287m
Meter reading
August 2015
6238m
Work out the volume of water used between August and November

Answers

Answer:

49

Step-by-step explanation:

6238 -6287

=49

hope love you

y=-6x-4 as integer form

Answers

Answer:

y=-24

Step-by-step explanation:

hope this will help you

2x -2=x-
I’ll give 30 points

Answers

Answer:

Step-by-step explanation:

2x - 2 = x

Bringing like terms on one side

2x - x = 2

x = 2

Answer:

I'm assuming you meant to put (-x) instead of (x-)

x = 2/3

Joseph owns a pizza restaurant. He sells pizzas for $15 each and charges $8 for delivery. What would your total cost be if you had p pizzas delivered?​

Answers

Answer:

y = 15x + 8

Step-by-step explanation:

Hey there!

15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.

Hope this helps!

What is the area of a parallelogram that has a base of 12 inches and a height of 8 inches?

Question 1 options:

96 square inches


1.5 square inches


20 square inches

Answers

Answer:

96 square inches

Step-by-step explanation:

Given in a parallelogram

base (b) = 12 inches

height (h) = 8 inches

Now

Area of parallelogram

= b * h

= 12 * 8

= 96 square inches

Hope it will help :)

Answer:

96

Step-by-step explanation:

Area= base x height

       = 12 x 8

       = 96

Since Area of parallelogram is base into height

18 rice cakes weigh a total of 130 g. There are 329 calories in 100 g of rice cakes. How many calories are there in one rice cake?

Answers

Answer:

1 rice cake has 23.761 calories

Step-by-step explanation:

18 rice cakes weigh a total of 130 g.

There are 329 calories in 100 g of rice cakes.

Step 1

We calculate the number of calories is 18 rice cakes

18 rice cakes = 130g

Hence,

100g = 329 calories

130g = x

Cross Multiply

100g × x = 130g × 329 calories

x = 130g × 329 calories/100g

x = 427.7 calories

Therefore, 18 rice cakes had 427.7 calories

Step 2

How many calories are there in one rice cake?

18 rice cakes = 427.7 calories

1 rice cake = x

Cross Multiply

18 × x = 1 × 427.7

x = 427.7/18

x = 23.761111111 calories

Approximately = 23.761 calories

Therefore, 1 rice cake has 23.761 calories

In the game “Sandwich” three cards are dealt from a 52-card deck. To win, the value of the third card must be between the first two cards. What is the probability of winning given the first two cards dealt are a 6 and a 10?

Show ALL work!!!

Answers

Answer:

[tex]\frac{3}{13} ,\frac{12}{52}[/tex]

Step-by-step explanation:

In a 52 card deck there a 4 of ech individual card

There are 3 card values between 6 and 10, (7,8,9)

[tex](3)(4)=12[/tex]

12 out of the 52 cards could win the game, so there is a probability of

[tex]\frac{12}{52}[/tex]  [tex]or[/tex] [tex]\frac{3}{13}[/tex]

plz mark me brainliest. :)

Put these numbers in order from least to greatest.

-10/20, 7 3/30, 0.2

Answers

-10/20, 0.2, 7 3/30

in order from least to greatest
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