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valentina_108 [34]
3 years ago
5

The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22

4.00 for 264 square feet, what is the size of a kitchen that costs $3,824.00? A. 239 square feet B. 256 square feet C. 7,648 square feet D. 63,096 square feet
Mathematics
1 answer:
stiv31 [10]3 years ago
6 0

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Let the price of the room be p

Let the size of the room be s

To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them

The statement

The price of tiling a room varies directly as the size of the room is written as

<h3>p = ks</h3>

where k is the constant of proportionality

when

p = $4,224.00

s = 264 square feet

Substitute the values into the expression to find k

That's

4224 = 264k

Divide both sides by 264

k = 16

So the formula for the variation is

<h3>p = 16s</h3>

when

p = 3824

s =  \frac{p}{16}

s =  \frac{3824}{16}

s = 239

The final answer is

239 square feet

Hope this helps you

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Marysya12 [62]

Answer:

x= 54.09

Step-by-step explanation:

cos = adjacent/ hypotenuse

cos75 = 14/x

x = 14/cos75

x = 54.09814627

6 0
3 years ago
Which ordered pair in the form (a,b) is a solution of the equation?
kondor19780726 [428]

Answer:

A. (6,0)

Step-by-step explanation:

4a- 5b = 24

Check each point to see if its is true

A. (6,0)

4(6) - 5(0) = 24

24 = 24

true

B. (-5, -2)

4(-5) -5(-2)= 24

-20 +10 = 24

-10 =24

False

C. (0,6)

4(0) -5(6) =24

-30 =24

False

D. (-2, -5)

4(-2) -5(-5)=24

-8+25=24

18=24

False

3 0
2 years ago
In each of the following equations, what is
timama [110]

The graph will cross at the coordinates (-2, 9)

<h3>How to solve equations?</h3>

y = 3x + 15

y = 3 - 3x

y = 3x + 15

Hence,

when x = 2

y = 3(2) + 15 = 21

when x = 0

y = 3(0) + 15 = 15

y = 3 - 3x

when x = 2

y = 3 - 3(2)

y = 3 - 6

y = -3

when x = 0

y = 3 - 3(0)

y = 3

Therefore, let's check if the equation will cross.

y = 3x + 15

y = 3 - 3x

using substitution,

3 - 3x = 3x + 15

3  - 15 = 3x + 3x

- 12 = 6x

x = -12 / 6

x = -2

y = 3 - 3(-2)

y = 3 + 6

y = 9

Therefore, the graph will cross at the coordinates (-2, 9)

learn more on equations here: brainly.com/question/19297665

#SPJ1

8 0
1 year ago
Please help me with this question. I will mark you brainliest. ​
solong [7]

<u>Answer:</u>

<em>Option D : $153</em>

<u>This is how I got that:</u>

9:30 AM to 1:15 PM = 3 hours and 45 minutes

The first hour charges $15 and for the remaining 2 hours and 45 minutes

Mr. Anand is charged 36$. Remember it says that each additional hour <em>or part thereof, </em>so the 2 hours and 45 minutes is considered 3 hours.

So our total for one paddle boat is <u>$51 </u>

<u />

But Mr. Anand hired <em>three</em> boats so we simply times 51 by 3 and get our solution to the problem:

<u>Mr. Anand must pay $153 or Option D</u>

<u></u>

<em>~That's All Folks~</em>

<em>-Siascon</em>

4 0
2 years ago
1. Find the derivative of f(x), at x = 10<br> f(x) = - 5x² + 13x
Serhud [2]

Answer:

-10x+13

Step-by-step explanation:

Im not 100% sure but i tried!

6 0
2 years ago
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