Cynthia besch wants to buy a rug for a room that is 18ft wide and 35ft long she wants to leave a uniform strip of floor around rug she can afford to buy 528 ft of carpeting what dimensions should rug have

Answers

Answer 1

Answer:

rug long = 34 ft

rug wide = 17 ft

Step-by-step explanation:

given data

wide = 18 ft

long = 35 ft

area of carpet  = 528 ft

solution

we get here area of floor that is

and we consider length of carpet = 35 - 2x

and width = 18 - 2x

(35 - 2x) × (18 - 2x) = 528      ...................1

solve it we get

x = 25.5 and x = 1

we choose 1 ft. as the width of the strip

so rug long = 35 - 1  = 34 ft

and rug wide = 18 - 1 = 17 ft


Related Questions

Find the slope of the line

Answers

3/2 rise 3 and run 2

-p^3+2p^2-p polynomial

Answers

Answer:

Not a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by  

+

or  

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

A ship has a circular
window with a radius of 10
inches. Find the area of the
window in square inches.

Answers

Answer: If this isnt wrong then I probably forgot how to do this... You plug in 10 with [tex]\pi[/tex]10^2. so then you'll get 100 time pi and youll get 314.159265.

The tire has a diameter of 33 inches. If the tire rotates one time, about how many inches will the tire travel?

Answers

Given:

Diameter of a tire = 33 inches.

To find:

The distance covered by the tire if it rotates one time.

Solution:

We have,

Diameter of a tire = 33 inches.

Radius is the half of diameter. So, the radius of the tire is

[tex]\dfrac{33}{2}=16.5[/tex]

Thus, r = 16.6 inches.

We have to find the distance covered by the tire if it rotates one time. It means, we need to find the circumference of the tire.

[tex]C=2\pi r[/tex]

[tex]C=2(3.14)(16.5)[/tex]

[tex]C=103.62[/tex]

Therefore, the distance covered by the tire if it rotates one time is 103.62 inches.

Can someone help me find x of this type of triangle

Answers

Answer:

Step-by-step explanation:

The sum of the angles of a triangle is always 180°.

(2x+4) + (2x-2) + (x-2) = 180

5x = 180

x = 36°

Find the measure of DC if m

Answers

Answer:

B. 132°

Step-by-step explanation:

Find the measure of arc BD

m∠A = 1/2(arc BC - arc BD) 2*36° = 150° - arc BD arc BD = 150° - 72° = 78°

Find the measure of arc DC

arc BD + arc BC + arc DC = 360°arc DC = 360° - (150° + 78°) = 360° - 228° = 132°

Correct choice is B

Bob threw a ball across a basketball court. The graph below shows the relationship between the horizontal distance of the ball and its height. у FLIGHT OF BALL 14 13 12 11 10 9 Height (in feet) 7 NWU OO 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Horizontal Distance (in feet) How many feet from Bob did the ball land? A 10 B 12 C 18 D 21​

Answers

Answer:

21 feet or 21 ft.

Step-by-step explanation:

WAIT SHOOT ITS D: 21

HELP ME PLEASE ASAP!

Answers

Answer:

31

Step-by-step explanation:

Answer:

that's the answer

How many times can you take 6 away from 36?

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 times

why did my answer get deleted??

Step-by-step explanation:

helpp with this :>!!!

Answers

Answer:

C: 24 = [tex]w^{2}[/tex] + 3 (the yellow option)

Step-by-step explanation:

We can see that 24 obviously represents our total area, we are told that the rug is 3 feet LONGER THAN it is wide, suggesting that addition will be involved.

In conclusion the most logical answer would be C: 24 = [tex]w^{2}[/tex] + 3

what is the slope of the equation?

y = -1/3x + 3

Answers

Answer:

-1/3

Step-by-step explanation:

y=mx+b

m=-1/3

Answer:

[tex] - \frac{1}{3}[/tex]

Step-by-step explanation:

y=mx+b

m stands for slope and -1/3 holds that postion

enter the equation of the line in the form =mx where m is the slope .​

Answers

Answer:

y = 3x

Step-by-step explanation:

The line goes up 3 and goes across by 1. Using the rise over run structure, it will be 3/1 or 3. m is equal to the slope, making it y = 3x, since y doesn't intercept anything, you don't need to put + anything at the end. Hope I helped. :D

$12 for 5boxes of cereal

Answers

Answer:

12x5 = 60

Step-by-step explanation:

SO 60 boxes

btw you are welcome

Please Help!!! Identify two equations from above that represent parallel lines and explain why you choose them
Identify two equations from above that represent perpendicular lines and explain why you choose them

Answers

Answer:

parallel : (b) and (g)

perpendicular : (d) and (f)

Step-by-step explanation:

straight line equation : y = mx + c

Lines that are parallel have the the same gradient(m),

(b) and (g) are parallel, both of them has m= 1/2

Lines that are perpendicular will have the product of their

gradient(m) equal to -1. So, m1 × m2 = -1

(d) and (f) are perpendicular, because : -4 × ¼ = -1

Hope I was able to help:))

Go step by step to reduce the radical.

Answers

Answer:

Step-by-step explanation:

You can begin by breaking down √(160) into its prime factors.

160 = 2 * 2 * 2 * 2 * 2 * 5

√(160) = √(2 * 2 * 2 * 2 *2 * 5)

This can be broken down further by

2 * 2√2 * 5

For every 2 factors that are the same, take one outside the brackets

4 √10

I suppose the way you are supposed to write this is √16 * √10

I'm not sure I'm right. There are 2 square root signs there and it is the only way I can think of to use 2 square root signs.

Activity: Find three different single digit numbers that
multiply together to give 120.

Answers

Answer:

Step-by-step explanation:

5,4,6

5×4=20 and 20×6=120

FOUNTAINS The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.

Answers

Answer:

The fountain has a circumference of 9 feet.

Step-by-step explanation:

5 and above get rounded to the next tenth and 4 and below rounds to the nearest 10 also and that would be 9 if it was 9.5 or above the answer would have been 10.0

A small cone has a diameter of 6 cm and a height of 7 cm. A large cone has a diameter of 12 cm and a height of 9 cm. What is the approximate difference in the volumes of the two cones?

Answers

Answer:

the answer should be 273 cm^3

Step-by-step explanation:

Evaluate 4 3/14 + 4 6/7=

Answers

Answer:

9 1/14

Step-by-step explanation:

The ratio of exterior angle and interior angle of a regular polygon is 12:6. The name of the regular polygon is

Answers

Answer:

Equilateral triangle

Step-by-step explanation:

sum the parts of the ratio, 12 + 6 = 18 parts

exterior angle + interior angle = 180°

180° ÷ 18 = 10° ← value of 1 part of the ratio , then

6 parts = 6 × 10° = 60° ← interior angle

12 parts = 12 × 10° = 120° ← exterior angle

The sum of the exterior angles of a polygon = 360°

Divide 360° by 120° to find number of sides

360° ÷ 120° = 3

and since the interior angles are 60° , then

polygon is an equilateral triangle

1-A student studies math for 1 5/7 hours and science for 3 1/19 hours over the weekend. How much time, in hours, did this student study for math and science altogether?

2-A metal alloy is made by mixing 99/17 ounce of Metal A with with 3/11 pound of Metal B. What is the total weight of the alloy in pounds?

3-A baker mixes 3.1 ounces of butter with 227.6 grams of flour. What is the total weight of the mixture in grams?

4-A carpet cleaner charges $0.99 per square foot to clean carpet. In the next house he is going to clean, the client reveals a perfectly circular carpeted room. If the room measures 45 feet in diameter, how much will he charge?

Answers

Answer:

1. [tex]4\frac{102}{133}[/tex]

2. [tex]6\frac{18}{187}[/tex]

3. 230.7

4. $1,574.53

good luck, i hope this helps :)

how many ounces are in 6 1/4 pounds(show your work)

Answers

Answer:

100 oz

Step-by-step explanation:

to find out how many ounces in a quarter pound, multiply 16 by ... 1/8 lb = 2 oz; 1/4 lb = 4 oz; 1/3 lb = 5.33 oz; 1/2 lb = 8 oz; 1 lb = 16 oz; 1.5 lb

Answer:

100 ounces

Step-by-step explanation:

there are 16 oz in a pound, so, 6 x 16 = 96 oz. And in 1/4 lbs there are 4 oz, so, when you add that to 96, it equals 100 oz.

A jersey cow weighs 900 pounds, she drops 782. What percent of weight has she lost?

Answers

Answer:

20 percentll

Step-by-step explanation:


The diagram shows a square ABCD.
D
N
bu
A
M
I
Mis the midpoint of AB.
Nis the midpoint of AD.
The area of the shaded triangle AMN is 18 cm
Work out the area of triangle MCN.

Answers

Answer:The diagram shows a square ABCD.

D

N

bu

A

M

I

Mis the midpoint of AB.

Nis the midpoint of AD.

The area of the shaded triangle AMN is 18 cm

Work out the area of triangle MCN.

5b is the area of MCN

Step-by-step explanation:

What is the slope of the line that passes through the points (-4,-1) and (-2,-5)?

Answers

Step-by-step explanation:

m= (-5+1)/(-2+4)

m= -4/2

m= -2

x+3<5

please i need the answer quick!!

Answers

x<5-3

x<2

so your answer is

[tex] - \infty < x < 2[/tex]

Question:

x + 3 < 5, Find x.

Answer

⟹ x + 3 < 5

( Subtracting 3 from both the sides of the inequality )

⟹ ( x + 3) - 3 < 5 - 3

⟹ x < 5 - 3

⟹ x < 2

It means that any number that is smaller than 2 will satisfy the inequality.

Divide. Write the answer in simplest form.

\frac{5}{6}\div4
6
5

÷4

Answers

Answer:

3/10

Step-by-step explanation:

find the area of the parallelogram 15 cm 8 cm

Answers

Answer:

120

Step-by-step explanation:

15 ⋅ 8 = 120

Answer:

Step-by-step explanation:

The area of a parallelogram is the product of the base and height.

A=bh

A=15(8)

A=120cm^2

2. bn = 5.4-n
3. by = 4.5"

Answers

Answer:

what is the question?

Step-by-step explanation:

Which expressions are equivalent to 35+30s-45t?

Answers

Answer:

B and C

Step-by-step explanation:

5 * (7 + 6s - 9t) = 7*5 + 6s *5  - 9t*5

                       = 35 + 30s - 45t

(-35 - 30s + 45t)*(-1) = (-35)*(-1) - 30s *(-1) + 45t*(-1)

                               = 35 + 30s - 45t

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