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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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The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i
kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.


Recall the formula for the sum of consecutive positive integers,

\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2

Now,

1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224

numbers, and their sum is

\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of 1+9\times2=19.

So, the sum of the first 1234 terms in the sequence is 2419.

8 0
2 years ago
A flower bed has the shape of a rectangle 21 feet long and 9 feet wide. What is its area in square yards?
Licemer1 [7]
21 times 9 which equals 189 feet and there are 3 feet in a yard so we do 189 divided by 3 which equals 63 so the answer is 63 square yards.

Brainlist please! :)
4 0
3 years ago
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Kyle wants to compare 0.25 to 1/2 using fractions. Which fraction can he use for 0.25? A) 14 B) 25 C) 34 D) 45​
Andreas93 [3]

Answer:

1/4

Step-by-step explanation:

0.25 is 1/4 of a whole use quarters for example

8 0
3 years ago
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Penn cuts the sandwich into equal pieces to serve 8 guests. Write an equation to represent the portion p that each guest receive
SVETLANKA909090 [29]
To show the portion, p, that each guest receives you will write the following equation.

p = 1/8

This equation shows One whole sandwich being broken into eight groups of the same portion. The answer is 1/8 of a sandwich.

6 0
3 years ago
Solve for 2.<br> -9x +5 &lt; 17 AND<br> 13x + 25 &lt; -1
Elena L [17]

Answer:

no solution

Step-by-step explanation:

-9x +5 < 17 AND   13x + 25 < -1

Solve each part separately and then put back together

-9x +5 < 17

Subtract 5 from each side

-9x+5-5< 17-5

-9x < 12

Divide each side by -9 remembering to flip the inequality

-9x/-9>12/-9

x > -4/3

and

13x + 25 < -1

subtract 25 from each side

13x +25-25 < -1-25

13x <-26

Divide by 13

13x/13 < -26/13

x <-2

There is no overlap so there is no solution

5 0
3 years ago
Read 2 more answers
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