1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
never [62]
3 years ago
15

Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room

and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.
Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.

She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
questions:

1. What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
length:____ feet width_____ feet
2. Recall that the area of a rectangle is found by multiplying the length and width of the rectangle. What is the area of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
______ square feet
3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom? Note: Express your answer as a decimal number and round to the nearest one-hundredths place.
_____ hours
PLEASE HELP!!
Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0
Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>

The answer a the question 2) is 222.75 ft²

<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
four person </span>carpet crew can lay 100 square feet of carpet---------- > 1 hour

therefore

if  100 ft² carpet----------------------- > 1 hour
 222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours

The answer is 2.23 hours

You might be interested in
Rewrite in simplest terms: -4(5v – 3v – 6) – 9v
julsineya [31]

Answer:

-4 (5v -3v -6) -9v (use the distributive property)

-20v +12v +24 -9v (combine all like terms)

-17v +24

3 0
3 years ago
Read 2 more answers
Use technology or a z-score table to answer the question.
FinnZ [79.3K]

Answer:

C

Step-by-step explanation:

First we find the z-score.

z = (x - μ) / σ

z = (520 - 500) / 60

z = 0.33

Using a calculator or z-score table:

P(z < 0.33) = 0.6293

The probability is approximately 63%.  Answer C

6 0
3 years ago
Find the average value of f over region
SVETLANKA909090 [29]
D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx
=14x^4\bigg|_{x=0}^{x=1}
=14
3 0
3 years ago
Quinn had $4.00. He spent 1/2​ of his money on a baseball card, 1/4 of it on a drink, and 1/8 of it on bubble gum. How much mone
Pepsi [2]

Answer:

$0.50

Step-by-step explanation:

He spent 2 on a card 1 on a drink and 1/2 on a piece of gum.

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

I am not sure it's correct.

4 0
2 years ago
Read 2 more answers
Pleaseeeeeeeeeeeeeeeeeeeeeeeee help
sveticcg [70]

Answer:

If you're rounding to the nearest two decimal places it's 12.65

Step-by-step explanation:

Pythagorean Theorem :)

12^2 + 4^2 = b^2

144+16= 160

The square root of 160 is about 12.65

3 0
3 years ago
Other questions:
  • Which angles are corresponding angles?
    5·1 answer
  • -11 = -5 + 6n + 6 WHAT DOES "N" EQUAL?
    13·1 answer
  • the base of a cone has a radius of 4mm and the height of the cone is 24 mm what is the volume of the cone
    5·2 answers
  • 5+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16x%5E%7B2%7D%20-37x-2%20%7D%3D4x" id="TexFormula1" title="\sqrt{16x^{2} -37x-2 }=
    5·1 answer
  • The mean number of points scored by the los angeles lakers was 101.7. in what proportion of their game did the celtics score mor
    14·1 answer
  • Pls answer its 2 in the morning I’m tryna get sleeppp
    9·1 answer
  • If Quinn has 14 nickels and dimes in his pocket, and they have a combined value of 110 cents, how many of each coin does he have
    11·1 answer
  • Please help me in need of answer asap
    13·1 answer
  • the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a
    15·1 answer
  • Find the diameter of a circle with an area of 6767 square centimeters.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!