answer.
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]
2 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]2 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
Find the exact value for cos π 12 applying sum and difference formulas involving π 3 and π 4 .
nadya68 [22]

First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split into π/3−π/4.

cos(π/3−π/4)

Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)

cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)

The exact value of cos(π/3) is 12, so:

(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)

The exact value of cos(π/4) is √22.

(12)⋅(√22)+sin(π/3)⋅sin(π/4)

The exact value of sin(π/3) is √32.

(12)⋅(√22)+(√32)⋅sin(π/4)

The exact value of sin(π/4) is √22.

(12)⋅(√22)+(√32)⋅(√22)

Simplify each term:

√24+√64

Combine the numerators over the common denominator.

<span>(√2+√6) / 4</span>

8 0
2 years ago
Teo makes a necklace of x wooden beads at $0.50 each and 6 glass beads at $1.25 each. The average cost of the beads in the neckl
Ainat [17]

Answer:

0.50x + 7.50 = 0.75(x+6)

Hope this helps :)

4 0
2 years ago
Michelle is trying to buy a car that costs $35,550, and she has saved up $20,700. She borrowed the remaining amount that she nee
Dimas [21]

Answer: $ 4,515

Step-by-step explanation:

\\The cost of the car she wanted to buy = $35,550

\\Her savings = $20,700

\\That means she needs( $35,550 - $20,700) more in order for her to buy the car.

\\Amount borrowed from the finance company  = $35,550 - $20,700

\\= $ 14,850

\\Since she now owes the financial company a total of $19,365, then the interest accrued by the loan she borrowed is given by:

\\$19,365 - $ 14,850

\\= $4,515

7 0
2 years ago
"Which of the following are continuous functions? (Select all that apply.)
Natasha2012 [34]

Answer:

  □ The temperature at a specific location as a function of time.

  □ The temperature at a specific time as a function of the distance due west from New York City.

  □ The altitude above sea level as a function of the distance due west from New York City.

Step-by-step explanation:

Temperature tends to vary continuously over distance and time.

Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.

Taxi charges tend to increment according to a rate schedule. That is, for each passing minute or fraction of a mile, the amount due jumps to a new value. We'd have to say those are discontinuous.

The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.

8 0
2 years ago
A car uses 125 gallons of gasoline to travel 5034 miles. How far can the car travel on 1 gallon of gasoline? please answer :(
Olegator [25]
If it takes 125 gallons to go 5034 miles, then to find how far 1 gallon goes, we divide 5034/125=40.272 miles. Therefore your answer is 40.272miles a gallon
4 0
2 years ago
Read 2 more answers
Other questions:
  • Which statement about 6x2 + 7x – 10 is true? One of the factors is (x + 2). One of the factors is (3x – 2). One of the factors i
    11·2 answers
  • Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at
    7·2 answers
  • Use f(x)=1/2x and f^-1(x)=2x to solve the problems f^1(-2), f(-4), f(f^-1(-2)?
    10·2 answers
  • A line segment has endpoints at (4, –6) and (0, 2). What is the slope of the given line segment? What is the midpoint of the giv
    13·2 answers
  • Which component of a stable ecosystem can not be recycled?
    13·2 answers
  • 1) Consider the sequence:
    9·2 answers
  • Mr. Johnson currently has a square garden. It is in his garden and into a range of 5 feet shorter than three times shorter than
    14·1 answer
  • Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio
    7·2 answers
  • A small manufacturing company makes $125 on each stereo sound bar produces, and $100 profit on each flat screen TV makes. Each s
    10·1 answer
  • A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!