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DaniilM [7]
3 years ago
10

Richard s kitchen floor measures 22 ft by 16ft. He plans on laying title down and each tile piece measures 16 inches by 16 inche

s. How many tiles does he need to buy
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0
We calculate the floor area of the kitchen:
 A = (22) * (16)
 A = 352 feet ^ 2
 We consider the following conversion:
 1 foot = 12 inches.
 Applying the conversion we have:
 A = 352 * (12/1) ^ 2
 A = 50688 in ^ 2
 We calculate the area of each tile:
 A = (16) * (16)
 A = 256 in ^ 2
 Then, the number of tiles is given by:
 N = (50688) / (256)
 N = 198
 Answer:
 He
 needs to buy 198 tiles
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Step-by-step explanation:

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What is the relationship between gross pay and net pay? A. Gross pay is less than net pay. B. Gross pay is more than net pay. C.
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4 years ago
What is the simplest radical form of the expression? (x3y5)4/3
VikaD [51]

Rational exponents work as follows:

a^{\frac{b}{c}}=\sqrt[c]{a^b}

So, in your case, we have

(x^3y^5)^{\frac{4}{3}} = \sqrt[3]{(x^3y^5)^4}=\sqrt[3]{x^{12}y^{20}}=\sqrt[3]{x^{12}y^{18}\cdot y^2}}=x^4y^6\sqrt[3]{y^2}

6 0
4 years ago
Read 2 more answers
On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary Let x represen
saw5 [17]

Answer:

Ryan's maximum time to complete a puzzle is 5 hours

Ryan's minimum time to complete a puzzle is 1 hour

Step-by-step explanation:

<u><em>The complete question is</em></u>

On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary from the average by 2 hours.

Which absolute value equation can be used to calculate Ryan's maximum and minimum time to complete a puzzle?

Let x represent the maximum and minimum time

we know that

The absolute value of the difference between x and the average must be equal to 2

so

\left|x-3\right|=2

Solve the absolute value

First case (positive case)

+(x-3)=2

x=2+3\\x=5

Second case (negative case)

-(x-3)=2

Multiply by -1 both sides

(x-3)=-2

x=-2+3\\x=1

therefore

Ryan's maximum time to complete a puzzle is 5 hours

Ryan's minimum time to complete a puzzle is 1 hour

7 0
3 years ago
If the original rectangle has an area of 2 cm squared and the scaled copied has an area of 50 cm squared what is the scale facto
vazorg [7]

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5

8 0
4 years ago
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