Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)

Answers

Answer 1

Answer:

\(Total = \$7800\)

Step-by-step explanation:

Given

\(Cost = \$32.50\) per square yard

\(Length = 432.0ft\)

\(Width = 5.0ft\)

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

\(Area = Length * Width\)

\(Area = 432.0ft * 5.0ft\)

\(Area = 2160ft^2\)

Convert to square yard

\(Area = \frac{2160yd^2}{9}\)

\(Area = 240yd^2\)

The cost is then calculated as:

\(Total= Area * Unit\ Cost\)

\(Total = 240 * \$32.50\)

\(Total = \$7800\)


Related Questions

Please help me with this ASAP

Please help me with this ASAP

Answers

Answer:

34

Step-by-step explanation:

Every triangle = 180 so you add the angles you have 146. You take 180 and you subtract 146 and you get the answer.

Evaluate the question

Evaluate the question

Answers

Answer:

we conclude that:

\(\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=81\)

Step-by-step explanation:

Given the expression

\(\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}\:=\:x^{a-b}\)

\(\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=\left(\frac{2}{54}\right)^{-\frac{4}{3}}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\)

         \(=\frac{1}{\left(\frac{2}{54}\right)^{\frac{4}{3}}}\)

        \(=\left(\frac{1}{27}\right)^{-\frac{4}{3}}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\)

        \(=\frac{1}{\frac{1^{\frac{4}{3}}}{27^{\frac{4}{3}}}}\)

         \(=\frac{1}{\frac{1^{\frac{4}{3}}}{81}}\)      ∵ \(27^{\frac{4}{3}}=81\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\)

         \(=\frac{81}{1^{\frac{1}{3}}}\)              

\(\mathrm{Apply\:rule}\:1^a=1\)

         \(=\frac{81}{1}\)

          \(=81\)

Therefore, we conclude that:

\(\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=81\)

                         

observa la sucesion que llevan las figuras realiza las figuras que faltan ​

observa la sucesion que llevan las figuras realiza las figuras que faltan

Answers

Answer:

13, 16, 19, 22, 25, etc.

Step-by-step explanation:

You're pretty much just adding three for the chart. And for the diagram, you're adding two.

Which graph represents the function y2 = -16X?

Which graph represents the function y2 = -16X?

Answers

Answer:

i think it is first, but i'm not sure.

Step-by-step explanation:

the first one is the most logical (to me)

Answer:

the first graph

Step-by-step explanation:

The image of B translated using (x + 2, y + 3) would have what coordinates?

The image of B translated using (x + 2, y + 3) would have what coordinates?

Answers

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

Substitute x and y for that of B's position.

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

urgent help please! ^^ <3

urgent help please! ^^ &lt;3

Answers

Answer:

Lower quartile = 6

Median = 8

Upper quartile = 9

Step-by-step explanation:

If you take away a number from each end of the number set one by one, you will end up with 7 and 9 in the middle. To find the median between two numbers, add them together then divide them by 2.

7 + 9 = 16

16 ÷ 2 = 8

_________________

To find the lower and upper quartiles, split the number set into two where the median is, then, find the median of those two sections.

Lower quartile: 4, 5, 6, 6, 7

Median = 6

-

Upper quartile: 9, 9, 9, 9, 9

Median = 9

So, the median of the whole set is 8, the lower quartile is 6, and the upper quartile is 9.

hope this helps!

Miranda's wages are $15 per hour. Write a linear equation
that gives the wages w in dollars that Miranda earns in
h hours.

HELP ME PLS ASAP PLS PLZ

Answers

Answer: i think its w=15h

Step-by-step explanation:

The New York Knicks began selling game tickets at 9:00 a.m.In the first hour they sold tickets to 1,280 people.In the second hour they sold 20% more tickets than in the first hour.Each ticket cost $45 dollars.What was the total amount of money paid for all tickets in the first two hours of the sale?

Answers

Answer:

$126720

Step-by-step explanation:

2nd hour tickets =120%

1st hour tickets =100%

100%=1280people

120%= ?

=1536 people+1280

=2816people were sold tickets

2816people are the same as 2816tickets

If 1 ticket =$45

2816tickets=?

2816*45=

=$126720

Answer:

answer 126720

Step-by-step explanation:

In 7 days, Lin's sister will be paid $75 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $7.95 each day after this deposit is made? What will be her balance at that time?

Answers

Lin won't to be charged $7.95 each day after the deposit is made.

Why do banks impose fees on small balances?

Financial organizations require minimum balances simply because their clients are an expense. To manage branches, keep accounts up to date, provide customer care, and other things, your bank or credit union must pay overhead.

If you maintain a certain balance in your account or adhere to additional conditions, like connecting your checking and savings accounts, banks frequently forgo their charge. Some banks could have a minimum balance requirement and impose fees if you go below it.

Lin's account balance is much above zero (0), so she won't be charged $7.95 each day. However, if her account balance were to drop below zero, she would be charged for any additional daily deposits made.

No  Lin won't be charged.

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Pleas help Calculate the shaded area give your answer to 3 significant figures

Pleas help Calculate the shaded area give your answer to 3 significant figures

Answers

Answer:

116 cm²

Step-by-step explanation:

Shaded Area = area of the larger circle - area of the smaller circle

Area of the larger circle = πr²

Where,

r = 6.5 cm

Area = π*6.5² = 42.25π cm²

Area of smaller circle = πr²

Where,

r = 2.3 cm

Area = π*2.3² = 5.29π cm²

✔️Shaded area = 42.25π - 5.29π = 36.96π = 116.113264

Area = 116 cm² (3 S.F)

10. In his award winning cake recipe, Chef Marco uses 4 eggs to every 7 cups of flour. Which table below shows the possible values of e, number of eggs and f, number of cups of flour that Chef Marco uses? A. Eggs (e) 4 5 6 7 Flour (1) 7 8 9 10 B. Eggs (e) 4 16 24 36 Flour (0) 7 49 63 70 Eggs (e) 4 8. 20 24 Flour (1) 7 14 35 42 D Eggs (e) 4 8. 12 16 Flour (1) 7 14 16 18

Answers

For every 4 eggs, 7 cups of floor is required. So for every increase in 4 eggs the 7 cups of floor increase.

Determine the cups of floor for 8 eggs.

\(\begin{gathered} 8\text{ eggs=4 eggs+4 eggs} \\ =7\text{ cups+7 cups} \\ =14\text{ cups} \end{gathered}\)

For 8 egss, 14 cups of floor is reuired.

Determine the cups of floor for 20 eggs.

\(\begin{gathered} 20\text{ eggs=4 eggs+4 eggs+4 eggs+4 eggs+4 eggs} \\ =7\text{ cups+}7\text{ cups+}7\text{ cups+}7\text{ cups+}7\text{ cups+} \\ =35\text{ cups} \end{gathered}\)

For 20 eggs, 35 cups of floor.

Determine the cups of floor for 24 eggs.

\(\begin{gathered} 24\text{ eggs=4 eggs+4 eggs+4 eggs+4 eggs+4 eggs+4 eggs} \\ =7\text{ cups+}7\text{ cups+}7\text{ cups+}7\text{ cups+}7\text{ cups+}7\text{ cups} \\ =42\text{ cups} \end{gathered}\)

For 24 eggs, 42 cups of floor.

Option C is correct.

∫\(\frac{x+2019}{x^{2}+9 }\)

Answers

Split up the integral:

\(\displaystyle\int\frac{x+2019}{x^2+9}\,\mathrm dx = \int\frac{x}{x^2+9}\,\mathrm dx + \int\frac{2019}{x^2+9}\,\mathrm dx\)

For the first integral, substitute y = x ² + 9 and dy = 2x dx. For the second integral, take x = 3 tan(z) and dx = 3 sec²(z) dz. Then you get

\(\displaystyle \int\frac x{x^2+9}\,\mathrm dx = \frac12\int{2x}{x^2+9}\,\mathrm dx \\\\ = \frac12\int\frac{\mathrm du}u \\\\ = \frac12\ln|u| + C \\\\ =\frac12\ln\left(x^2+9\right)\)

and

\(\displaystyle \int\frac{2019}{x^2+9}\,\mathrm dx = 2019\int\frac{3\sec^2(z)}{(3\tan(z))^2+9}\,\mathrm dz \\\\ = 2019\int\frac{3\sec^2(z)}{9\tan^2(z)+9}\,\mathrm dz \\\\ = 673\int\frac{\sec^2(z)}{\tan^2(z)+1}\,\mathrm dz \\\\ = 673\int\frac{\sec^2(z)}{\sec^2(z)}\,\mathrm dz \\\\ = 673\int\mathrm dz \\\\ = 673z+C \\\\ = 673\arctan\left(\frac x3\right)+C\)

Then

\(\displaystyle\int\frac{x+2019}{x^2+9}\,\mathrm dx = \boxed{\frac12\ln\left(x^2+9\right) + 673\arctan\left(\frac x3\right) + C}\)

A teacher is measuring the height of students at her high school. She gets data from 500 students at her high school. Which of the following visual displays is most appropriate?
Group of answer choices

Bar Chart

Histogram

Stemplot

Dotplot

Pie Chart

Answers

A teacher, she is measuring the height of students, She gets data from 500 students, the visual displays is most appropriate is, Bar chart. So option A is correct.

What is statistics?

Statistics is a process in which we collect, interpret, study and understand the data. We took a small sample from the large quantity and then we did study of the sample then according to results, we did our predictions for events which can happen in future.

Given that,

A teacher is measuring the height of students at her high school

She gets data from 500 students at her high school

Most appropriate visual displays by,

The bar graph,

because it will show result,

In rectangular columns and vertical height can represent the number of students,

Different  columns can represent the range of height

Hence, the appropriate choice is Bar chart

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Shelly drove 345 miles to visit
her grandma. If she drove at a
speed of 60 miles per hour,
write an equation with t
representing time that it took
Shelly to drive 345 miles.

Answers

Answer:

345/60=t

Step-by-step explanation:

Solve x2 + 5x – 3 = 0 using the quadratic formula.
Solve (2x – 1)2 = 8 using the quadratic formula.

A) x = –1∕2 + , x = –1∕2 –
B) x = 1∕2 + , x = 1∕2 –
C) x = 1∕2
D) x = –1∕2

Answers

Answer:

d

Step-by-step explanation:

distribute two through the parentheses

=4x-2

move the constant to the right side and change its sign

=4x=8+2

=4x=10

divide both sides by 4

x=5/2

(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.

Answers

Answer:

Expanded Notation Form:

 421.53 =

 400  

+ 20  

+ 1  

+   0.5

+   0.03

Expanded Factors Form:

   421.53 =

 4 × 100  

+ 2 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 3 ×   0.01

Expanded Exponential Form:

 421.53 =

4 × 102

+ 2 × 101

+ 1 × 100

+ 5 × 10-1

+ 3 × 10-2

Word Form:

421.53 =

four hundred twenty-one and fifty-three hundredths

Step-by-step explanation:

Answer:

Step-by-step explanation:

400  

+ 20  

+ 1  

+   0.5

+   0.03

What is 36/100 added with 4/10

Answers

Answer:

0.76 or 19/25

Step-by-step explanation:

Convert 4/10 so that it has a common denominator with 36/100.

4/10 x 10/10 = 40/100

Now that the denominator is the same, just add the top values.

40/100 + 36/100 = 76/100

We can also simplify the answer to be 19/25 by dividing the top and bottom by 4.

Answer:

19/25

Step-by-step explanation:

\(\frac{36}{100}+\frac{4}{10}\\Let\: first\: deal\: with\: ;\frac{36}{100}\\\mathrm{Cancel\:the\:common\:factor:}\:4\\=\frac{9}{25}\\\\=\frac{9}{25}+\frac{4}{10}\\Now \:lets \:deal \:with ; \frac{4}{10}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{2}{5}\\=\frac{9}{25}+\frac{2}{5}\\\mathrm{Prime\:factorization\:of\:}25:\quad 5\times\:5\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Multiply\:each\:factor\:the\:greatest\:number\:of\:times\:it\:occurs\:in\:either\:}25\mathrm{\:or\:}5\\\)

\(\lim_{n \to \infty} a_n =5\cdot \:5\\\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25\\=25\\\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:25\\\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}5\\\frac{2}{5}=\frac{2\times \:5}{5\times \:5}=\frac{10}{25}\\=\frac{9}{25}+\frac{10}{25}\\\)

\(\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{9+10}{25}\\\\=\frac{19}{25}\)

In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at
the maximum or minimum for a continuous function?

Answers

The value of the derivative at the maximum or minimum for a continuous function must be zero.

What happens with the derivative at the maximum of minimum?

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

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Write each as a percent

4.54

Answers

Answer:

454%

Step-by-step explanation:

i think this is corrrect hope it helps

Answer:

The answer should be 454%

Step-by-step explanation:

Lmk if this helped

Please help, I’ll mark your answer as brainliest.

Please help, Ill mark your answer as brainliest.

Answers

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

What is a sound wave?

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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simplify 7k - 2
k = 3​

Answers

Answer:19
7(3)-2
21-2
19

Answer:

the answer to 7k-2 is 19

Step-by-step explanation:

7k-2

7(3)-2

21-2=19

Find the perimeter of the quadrilateral below.
Give your answer in centimetres (cm) to 1 d.p.
W
9 cm
Z
12 cm
X
8 cm

Answers

For given measurements, the perimeter of the quadrilateral is 30cm.

What is the perimeter of the quadrilateral ?

The length of a quadrilateral's border, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter. As a result, a quadrilateral's perimeter is measured in the same linear units as its sides, such as meters, inches, centimeters, etc.

This may be stated using a straightforward formula. For instance, the formula for a quadrilateral ABCD's perimeter may be written as,

AB + BC + CD + DA = The perimeter

perimeter of the quadrilateral = sum of all sides.

perimeter of the quadrilateral = 1 + 9 + 12 + 8

= 30 cm.  

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In its first month of operation, Swifty Corporation purchased 270 units of inventory for $8, then 370 units for $9, and finally 310 units for $10. At the end of the month, 350 units remained.

Compute the amount of phantom profit that would result if the company used FIFO rather than LIFO.

Phantom profit= ?

Answers

Answer:

$640

Step-by-step explanation:

You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. a. Write a system of linear equations that represent the situation.
b. How many magazine subscriptions did you sell?
c. How many magazine subscriptions did your friend sell.

Answers

Answer:

b. you sold 17

c. your friend sold 25

Step-by-step explanation:

you=y your friend=x

y=x-8

42=x +y

42=x+(x-8)

42=x+x-8

42=2x-8

50=2x

25=x

Use x to solve for y...

y=25-8

y=17

Issac walks 6/10 of a mile in 1/5 of an hour if issacs walking rate remains constant what is issacs walking rate in miles per hours

Answers

Answer:

3 miles per hour

Step-by-step explanation:

Answer:

3 miles per hour

Step-by-step explanation:

3 miles per hour bc i just know that it is

2) Why is it that when you fill the venn diagram with the number of elements, you
always need to start from the intersection of all sets?

Answers

Answer:

This is because it is easier this way.

You avoid the problem of putting an element in one set and then realizing that the element also belongs to another set, then you must erase something in order to put the element in both sets. Starting with the intersection allows you to know where will be each set in the diagram, and in this way, the diagram should end up being more readable or "clean".

This may seem small, but being "clean" when doing math, will allow you to have an easier time dealing with a lot of problems. And also will be easier for other people when reading your equations and such.

How many 11-card hands are possible with a 20-card deck?

Answers

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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find the future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly. (round your answer to the nearest cent.) $

Answers

The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..

The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

P = PMT× ((1+r)ⁿ −1)/r

where:

P---> Future value of an annuity stream

PMT---->Dollar amount of each annuity payment

r -->Interest rate (also known as discount rate)

n--->Number of periods in which payments will be

We have given that

Present value for an Annuity = $200

compounded rate , r = 13%

but compounded quarterly, then, r = 13%/4

= 0.13/4 = 0.325

Number of years , n = 2 + 1/2 = 5/2

then change into quarterly, n = 5/2 × 4 = 10

Future value formula ,

F.V = PMT ( (1+i)ⁿ - 1)/r

=> Future value = 200((1+0.325)^10/0.325)

=> F.V = 10263.734

Hence, the future value of an annuity is $10263.734..

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Consider the running track which consists of two straight paths each measuring 84 meters in length and two semicircles with diameter, d.

What is the diameter, d, in meters, if the distance around the track is 400 meters? Round your answer to the nearest tenth.​

Consider the running track which consists of two straight paths each measuring 84 meters in length and

Answers

Answer:

The answer is 127.32

Step-by-step explanation:

D= 400 divided by pi= 127.32

400= pi times diameter

The diameter or the width of the running track is 17 meters rounded to the nearest integer.

What is the perimeter of a rectangle and a circle?

The perimeter of a rectangle is 2(l + w) and the circumference of a circle is 2πr.

Given,  the running track consists of two straight paths each measuring 84 meters in length, and two semicircles with a diameter(d), hence radius is (d/2) = r in meters.

Also given that the distance around the track is 400 meters.

∴ The total perimeter of the running track is the sum of the perimeter of the rectangle and the circumference of two semicircles which results in a circle and the diameter and the width is the same seems obvious from the diagram itself, therefore d = w and r = w/2.

84 + πr² + 84 + πr² = 400.

2πr² = 232.

πr² = 216.

r² = 68.8.

r = ± (√68.9).

r = ± 8.30 hence d= 2r = 16.60 or 17 meters rounded to the nearest integer.

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The number of students at Yellowstone High School has been increasing by 4% each year. There are
currently 4,256 students. How many students will there be in 8 years?

Answers

Answer:

5,617.92

Step-by-step explanation:

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

A = 4256(1 + (0.04 × 8)) = 5617.92

A = $5,617.92

The total amount accrued, principal plus interest, from simple interest on a principal of $4,256.00 at a rate of 4% per year for 8 years is $5,617.92.

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