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Dmitriy789 [7]
2 years ago
6

Tina’s rectangular living-room floor measures 15 feet by 18 feet. a. How many square feet of carpet will Tina need to cover the

entire floor? square feet b. The carpet Tina likes is sold by the square yard. How many square yards will she need? (1 yard = 3 feet) square yards
Mathematics
2 answers:
e-lub [12.9K]2 years ago
7 0

Answer:

(a)270 Square feet

(b)30 Square Yard.

Step-by-step explanation:

Tina’s rectangular living-room floor measures 15 feet by 18 feet.

Length=18 feet

Breadth =15 feet

Area of a Rectangle = Length X Breadth

(a) Area of the Room = 15 X 18 =270 Square feet

Tina will need 270 Square feet of carpet to cover the entire room.

(b) 1 Yard = 3 Feet

(1 X 1) Square Yard = (3 X 3) Square Feet

1 Square Yard = 9 Square Feet

If Tina needs 270 Square feet of carpet

9 Square Feet  = 1 Square Yard

270 Square feet  = (270/9) Square Yard

                           =30 Square Yard.

zhenek [66]2 years ago
5 0
90 square yards will be needed
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10/8 or 1 and 2/8

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2 years ago
The area of the rectangle as a single expression
Ne4ueva [31]

Answer: A=15x^2+6x-48

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A=l*w

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

length=3(x+2)\\width=5x-8

Then, you need to substitute this lenght and this width into A=l*w:

A=3(x+2)(5x-8)

Now, apply Distributive property:

A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48

Finally, you need to add the like terms. Then, you get:

A=15x^2+6x-48

5 0
3 years ago
Need answer to 4 and 5
algol13

Answer:

Substitute n =1, 2, 3, 4, 5 to get the first five terms.

Step-by-step explanation:

(4). $ g_n  = 2 . 3^{n - 1} $

To find the first term, substitute n = 1.

Therefore, $ g_1 = 2 . 3^{1 - 1} = 2 . 3^{0} = 2 . 1  $ = 2

$g_2 = 2 . 3^{2 - 1} = 2 . 3 $ = 6

$ g_3 =  2 . 3^{3 - 1} = 2 . 3^{2} = 2 . 9 $ = 18

$ g_4 = 2 . 3^{4  - 1} = 2 . 3^{3} = 2 . 27 $ = 54

$ g_5 =  2 . 3^{5 - 1} = 2 . 3^{4} = 2 . 81 $ = 168

Therefore the first five terms of the sequence are: 2, 6, 18, 54, 168.

(5). $ t_n = \frac{2}{3}t_{n - 1} $

$ t_2 = \frac{2}{3} t_{2 - 1} = \frac{2}{3}t_1  = \frac{2}{3}6 $ = 4

$ t_3 = \frac{2}{3} t_2 = \frac{2}{3}. 4 = \frac{8}{3} $

$ t_4 = \frac{2}{3}t_3 = \frac{2}{3}\frac{8}{3} = \frac{16}{9} $

$ t_5 = \frac{2}{3}t_4 = \frac{2}{3}\frac{16}{9} = \frac{32}{27} $

Therefore the first five terms in the sequence are: 6, 4, 8/3, 16/9, 32/27.

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3 years ago
Find the solutions for x when y is equal to 0.<br> y = x2 - 3x -18
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Y = x² - 3x - 18

When y = 0,

x² - 3x - 18 = 0

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x = -3 or x = 6
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2 years ago
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Answer:

Step-by-step explanation:

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