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slamgirl [31]
3 years ago
14

Find an expression for the number of colored border tiles needed for any N x N square center.

Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

Answer:

8N - 4 border tiles.

Step-by-step explanation:

There are 4 border tiles in each corner and between  the tiles there are N-2 tiles along the 4 sides.

So the number of border tiles

= 4+ 4(N - 2)

= 4 + 4N - 8

= 8N - 4.

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A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses whic
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Answer:

The answer is below

Step-by-step explanation:

Let x represent the big buses and y represent small buses. The large buses can carry 30 students and the small buses can carry 15 students. The total number of students are 450, this can be represented by the inequality:

30x + 15y ≤ 450

They are only 20 drivers, therefore only 20 buses can be used. It is represented by:

x + y ≤ 20

They  are only 19 small buses and 18 large buses:

x ≤ 18

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After plotting the graph, the minimum solution to the graph are at:

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The cost function is given as:

The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.

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F(x, y) = 225x + 100y

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F(x, y) = 225(15) + 100(0) = $3375

At point B:

F(x, y) = 225(18) + 100(0) = $4050

At point C:

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3 0
3 years ago
Write the ratio of the area of a circle with radius r to the circumference of the same circle
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Answer:

\frac{r}{2\pi r} =\frac{1}{2\pi }

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using \pi d or 2\pi r.

We write r: \pi d  or r:2\pi r.

We can also write in fraction form:

\frac{r}{\pi d} or \frac{r}{2\pi r} =\frac{1}{2\pi }


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