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Ksivusya [100]
3 years ago
15

An area of 18 square feet that is 6 feet long and 3 feet wide. A rug covered 1/3 square foot tiles. How many tiles will the rug

cover? Write an equation
Mathematics
2 answers:
Shkiper50 [21]3 years ago
5 0

Answer:

The number of tiles the rug will cover is 54 tiles

Step-by-step explanation:

Here we have,

Total area covered by the rug = 18 ft²

Size of one tile = 1/3 ft²

Therefore the number of tiles that can fit into the the area is given by;

Total area of the rug ÷ Area of one tile

= 18 ft² ÷ 1/3 ft²

Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows

= 18 × 3/1 ft²/ft² = 54 tiles

The number of tiles the rug will cover = 54 tiles.

Helga [31]3 years ago
4 0

Answer:

  • 54 tiles
  • Y = X / 3

Step-by-step explanation:

Area of Room = 18 ft^2

length of Room = 6 ft

width of Room = 3 ft

size of tiles = 1/3 ft^2

How many tiles is needed to cover 18 ft^2

= 18 ft ^2 / size of each tile

= 18 ft^2 / 1/3 ft^2

= 18 * 3 = 54 tiles

lets assume Area of rug needed  = Y

number of tiles = x

therefore Y = X / 3 equation

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I dont understand the question
Nonamiya [84]
<h3>Answer: Choice C)   x^4 - 2</h3>

Explanation:

If the exponent is negative, then that means we apply the reciprocal. So something like x^(-2) becomes 1/(x^2). A polynomial cannot have a variable in the denominator like this. So we can rule out choices A, B, and D. Choice C is the only thing left. It is a polynomial because the exponent is a positive whole number.

7 0
2 years ago
Allen is horrible at managing his money. For example, he
N76 [4]

Answer:

$80,000

Step-by-step explanation:

<u>Define the variables</u>:

Let x =  "fish-flavored" chicken company investment (in dollars)

Let y = spray-on vitamins company investment (in dollars)

If Allen invested a total of $100,000:

⇒ x + y = 100000

Given:

  • 3% profit on "fish-flavored" chicken investment
  • 1% profit on pray-on vitamins investment
  • Total profit = $2,600

⇒ 0.03x + 0.01y = 2600

Rewrite the first equation to make y the subject:

⇒ y = 100000 - x

Substitute into the second equation and solve for x:

⇒ 0.03x + 0.01(100000 - x) = 2600

⇒ 0.03x + 1000 - 0.01x = 2600

⇒ 0.02x + 1000 = 2600

⇒ 0.02x = 1600

⇒ x = 80000

Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.

6 0
2 years ago
Use the fraction strips to compare 2/4 and 5/8. use the drop-down menus to explain your comparison.
tia_tia [17]

Answer:

2

5

\dfrac{4}{5}

Step-by-step explanation:

We are given 2 fractional numbers:

1.\ \dfrac{2}4\\2.\ \dfrac{5}8

We have to use fraction strips to compare to the fractional numbers.

Let we are Comparing \frac{2}{4} with the length of x number of \frac{1}4 sections.

i.e.

\dfrac{2}{4}  = x \times \dfrac{1}{4}\\\Rightarrow x = \dfrac{2 \times 4}{4}\\\Rightarrow x = 2

Let we are Comparing \frac{5}{8} with the length of y number of \frac{1}8 sections.

i.e.

\dfrac{5}{8}  = y \times \dfrac{1}{8}\\\Rightarrow y = \dfrac{5 \times 8}{8}\\\Rightarrow y = 5

Now, let us have a look at 3rd part of question:

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8

Let the answer be z.

So, the equation becomes:

\dfrac{2}{4} = z \times \dfrac{5}{8}\\\Rightarrow z = \dfrac{2 \times 8}{4 \times 5}\\\Rightarrow z = \dfrac{2 \times 2}{5}\\\Rightarrow z = \dfrac{4}{5}

So, the answers are:

2

5

\dfrac{4}{5}

5 0
3 years ago
Look closely at the character of Alice in the film and the play versions of Alice’s Adventures in Wonderland. Does the character
Tems11 [23]

Answer:

In the movie, Tweedledee and Tweedledum and the talking flowers are incorporated into the original plot from Alice's Adventures in Wonderland. In the book, Alice eats little cakes in the White Rabbit's house to become smaller. In the movie, Alice eats carrots from The White Rabbit's garden to become smaller.

Step-by-step explanation:

3 0
2 years ago
Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long
7nadin3 [17]
The first thing we must do for this case is find the scale factor.
 We have then that for the larger side of both triangle, the scale factor is:
 k =  \frac{RP}{HF}
 k = \frac{7.2}{12}
 k = 0.6
 To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
 We have then:

 For PQ
 
PQ = k * FG&#10;&#10;PQ = 0.6 * 5&#10;&#10;PQ = 3

 For QR
 
QR = k * GH&#10;&#10;QR = 0.6 * 10&#10;&#10;QR = 6

 Answer:
 
You have that the lengths for the other two sides of triangle PQR are:
 
PQ = 3&#10;&#10;QR = 6
3 0
3 years ago
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