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2 years ago

Compute the number of vinyl tiles, measuring 8 in. each side, needed to tile a kitchen measuring 24 ft. by 18 ft.

Mathematics

2 answers:

spayn [35]2 years ago

8 0

Answer: There are 972 tiles to cover the kitchen.

Step-by-step explanation:

Since we have given that

Dimensions of kitchen be

$24\ ft\ by\ 18\ ft$

Dimension of each tile = 8 inches

We have to find the number of tiles .

So, Number of tiles is given by

$\frac{\text{Area of kitchen}}{\text{ Area of tile }}\\\\=\frac{24\times 12\times 18\times 12}{8\times 8}\\\\=\frac{62208}{64}\\\\=972$

Hence, there are 972 tiles to cover the kitchen.

zepelin [54]2 years ago

4 0

972. Keep in mind the ratio of square feet to square inches is 144:1 as opposed to 12:1

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What is the midpoint of -5,2 and 1,5

ANEK [815]

Answer:(-2,3.5)

Step-by-step explanation: Add the endpoints and divide by two for the x-values and the y-values

4 0

3 years ago

A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula

kvasek [131]

Answer:

The sample proportion of printers used in small business is:

$\hat{p}=\frac{25}{70}=0.3571$

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

$\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$

Where:

$z_{\frac{0.05}{2}}=1.96$ is the critical value at 0.05 significance level

$\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }$

$0.3571 \pm 0.1122$

$\left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)$

$\left(0.245,0.469 \right)$

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)

7 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Brilliant_brown [7]

-2x + 6y = -38

3x - 4y = 32

To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.

3(-2x + 6y = -38) --> -6x + 18y = -114

2(3x - 4y = 32) --> 6x - 8y = 64

Add the equations.

-6x + 18y = -114

6x - 8y = 64

+_____________

0 + 10y = -50

10y = -50

y = -5

Substitute -5 for y into one of the original equations to find x.

3x - 4y = 32

3x - 4(-5) = 32

3x + 20 = 32

3x = 12

x = 4

Check work by plugging the x- and y-values into both of the original equations.

-2x + 6y = -38

-2(4) + 6(-5) = -38

-8 - 30 = 38

38 = 38

3x - 4y = 32

3(4) - 4(-5) = 32

12 + 20 = 32

32 = 32

Answer:

x = 4 and y = -5; (4, -5).

8 0

3 years ago

Read 2 more answers

It snows 2 inches an hour for 5 hours in Pittsburgh, PA. How many inches fell in total over those 5 hours?

amm1812

Answer:

10 inches

Step-by-step explanation:

6 0

2 years ago

What is the area of a triangle for one of the legs being 3in and the hypotenuse being 9in

elena55 [62]

The area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches is 12.727 square inches

Solution:

Given that to find area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches

From given information,

Let "c" = hypotenuse = 9 inches

Let "a" = length of one of the leg of triangle = 3 inches

To find: area of triangle

The area of triangle when hypotenuse and length of one side of triangle is given:

$A = \frac{1}{2} a \sqrt{c^2 - a^2}$

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

Substituting the given values we get,

$A = \frac{1}{2} \times 3 \times \sqrt{9^2 - 3^2}$

$A =\frac{1}{2} \times 3 \times \sqrt{81-9}\\\\A =\frac{1}{2} \times 3 \times \sqrt{72}\\\\A =\frac{1}{2} \times 3 \times 8.48528\\\\A = \frac{1}{2} \times 25.45584\\\\A = 12.727$

Thus area of triangle is 12.727 square inches

5 0

3 years ago