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Allisa [31]
3 years ago
11

Ms. Scutter is tiling a bathroom with a length of 9 feet and a width of 8 1/2 feet.The tile she chose sells at $4 per square foo

t How much will Ms.Scutter need to pay for the tiles she needs

Mathematics
2 answers:
Arada [10]3 years ago
5 0
First find the area of the bathroom . 9ft times 8.5 ft = 76.5 sq ft

76.5 sq ft * $4 = $306
kipiarov [429]3 years ago
4 0
You will need to find the area by multiplying the length and width. 8 1/2 can also be written as 8.5, then we multiply the result by 4 to find out how much money she needs to pay. Since it's $4 per square, it only makes sense to multiply the total tiles by 4. You can see how I solved in the picture provided. So she will have to pay $306

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
marta [7]

Answer:

C. B(x,y) = \left(3,-\frac{16}{3} \right)

Step-by-step explanation:

Let A(x,y) = (6,-7), B(x,y) = (x,y) and C(x,y) = (-3,-2). From statement we know that AB = \frac{1}{2}\cdot BC, which is equivalent to the following linear algebraic formula:

B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)] (1)

B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)

\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)

B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y) (2)

Then, the coordinates of point B on AC are:

B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)

B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)

B(x,y) = \left(3,-\frac{16}{3} \right)

Which means that correct answer is C.

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3 years ago
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