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siniylev [52]
3 years ago
13

The diagram shows the floor plan of a hotel lobby. The carpet that she wants to buy for that floor costs $3 per square foot. How

much will it cost to carpet the lobby?

Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer: $ 1 710

Step-by-step explanation:

Area of parallelogram = base x height = 27 x 20 = 540ft2

Area of triagne = 1/2 x base x height = 1/2 x 3 x 20 = 30ft2

total = 540 + 30 = 570ft2

570 ft2 x $3 = $1 710

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quadrilateral CDEF is dilated by a scale factor of 3/4 to form quadrilateral C'D'E'F. What is the measure of side E'F?​
VARVARA [1.3K]

Answer:

9

Step-by-step explanation:

Side EF is 12 units, so you have to multiply 12 by 3/4, and you get 9.

8 0
3 years ago
Read 2 more answers
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
lbvjy [14]

Answer:

4.51\times10^{-10}

Step-by-step explanation:

There are only 2 solutions for none of the rooks can capture any of the other rooks: only if they are laid out in either of the 2 diagonal of the chess board

The number of possible combination for the rock to laid out in 8x8 (64 slots) chess board

\frac{64 * 63 * 62 * 61 * 60 * 59 * 58 * 57}{8!} = \frac{1.78\times10^{14}}{40320} = 4426165368 possible combination

So the probability is pretty thin

P = 2 / 4426165368 = 4.51\times10^{-10}

4 0
4 years ago
Graph y=-3x +7 and the line that is<br> parallel to it that passes through (4,1).
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Y = -3x + 13

Steps and the graph are on paper

6 0
3 years ago
Which expression uses the associative property to make it easier to evaluate
vodka [1.7K]

Answer:

Option B: (½•16)⅓

Step-by-step explanation:

The associative property states that we can add or multiply numbers in a group regardless of how those numbers are grouped. And that we will get the same answer.

For example;

x(y•z) = (x•y)z = (x•z)y

Now in our question, we want o evaluate; ½(16•⅓)

Using the associative property, the best expression will be: (½•16)⅓

It's the best expression because the terms in the bracket are easy to multiply out without remainder.

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5 0
3 years ago
In one year Megan spent 359.94 on her gym membership at the same monthly rate of 59.99. Write an equation to represent this situ
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Answer:

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Step-by-step explanation:

The situation is determined by the following equation:

T = M * X

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T the total value, that is 359.94

And X would be the number of months, and at the same time the variable.

In this case it would be like this:

359.94 = 59.99 * X

If we solve for X, we are left with:

X = 359.94 / 59.99

X = 6

That is to say that Megan went to the gym for 6 months of the year

7 0
4 years ago
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