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oksian1 [2.3K]
2 years ago
15

Q. You are carpeting a boardroom which measures 16 feet by 14.5 feet with a carpet that costs $18.50 per square foot of finished

space. How much will the carpet flooring cost?
A. $232
B. $4,144
C. $4,292
D. $4,322
Mathematics
2 answers:
liq [111]2 years ago
7 0

Answer:

The carpet flooring will cost $4,292 (option C)

Step-by-step explanation:

Hi, to solve this problem we have to apply the formula of the area of a rectangle to obtain the area of the floor:

A = W x L

Where:

A: area

W: Width: 14.5 feet

L: Length: 16 feet

Solving:

  • A = 14.5 ft x 16 ft =232 ft ²

Now that we have the area, we simply have to multiply it by the cost of a square foot of finished space ($18.50)

  • 232ft ²x $18.50 = $4,292

The carpet flooring will cost $4,292 (option C)

-Dominant- [34]2 years ago
4 0

Answer:

$4,292

Step-by-step explanation:

16 x 14.5 = 232

18.50 x 232 = 4,292

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Effectus [21]
<span>Given the table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.

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    3                     4                              7
    8                    6.5                            9.

To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7 = 3m + c . . . (1)
9 = 8m + c . . . (2)

(1) - (2) ⇒ -2 = -5m
\Rightarrow m= \frac{2}{5} =0.4

Substituting for m into equation (1) gives:

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Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
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1 year ago
The winning long jump at a track meet was 27 ft 10 in. Convert this distance to meters. Round to the nearest hundredth.
Allushta [10]

1 inch = 2.54 cm

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334 inches = 334 inches * 2.54 cm / inch = 848.36 cm

1 meter = 100 cm

x  = 848.36 cm

Cross multiply

848.36 cm * 1 meter = 100 cm * x   Divide both sides by 100

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Answer 8.48 meters.


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1 year ago
Easy question.
Nimfa-mama [501]

Answer:

Pia

Step-by-step explanation:

The smaller the number of pencils in a bundle the greater the number of  bundles.

For example if the number of pencils each has is 60,

Then the number of bundles for Pia = 60/10 = 6,

and    ...................................................Gauri  = 60/12 = 5,

and   .....................................................Yasmin = 60/20 = 3.

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2 years ago
Aditi downloads ten paid apps and sixteen free apps on her tablet. Fourteen of them are game apps, and she paid for five of the
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Answer:

P(paid) =  10/26

P(paid | game) = 5/14

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5 0
2 years ago
Read 2 more answers
Find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box
Gala2k [10]

Answer:

The dimensions of the box are 12 cm , 12 cm , 12 cm

Step-by-step explanation:

Let x , y and z be the dimensions of box

Volume of box =xyz=1728

z=\frac{1728}{xy}

Surface area of box = 2xy+2yz+2xz=2xy+2y(\frac{1728}{xy})+2x(\frac{1728}{xy})

Let f(x,y)=2xy+2(\frac{1728}{x})+2(\frac{1728}{y})

To get minimal surface area

\frac{\partial f}{\partial x}=0 and \frac{\partial f}{\partial y}=0

\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial x}=0

2y-2(\frac{1728}{x^2})=0

y=\frac{1728}{x^2} ----1

\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial y}=0

2x-2(\frac{1728}{y^2})=0\\x=\frac{1728}{y^2}  \\y^2=\frac{1728}{x}

Using 1

(\frac{1728}{x^2} )^2=\frac{1728}{x}

x=0 and x^3=1728

Side can never be 0

So,x^3=1728

x=12

y=\frac{1728}{x^2} \\y=\frac{1728}{12^2}

y=12

z=\frac{1728}{xy}\\z=\frac{1728}{(12)(12)}

z=12

The dimensions of the box are 12 cm , 12 cm , 12 cm

5 0
2 years ago
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