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Nata [24]
3 years ago
14

Several students from boxerville middle stood in a circle, evenly spaced, to play a game. If the 6th student was directly across

from the 13th student, how many student were in the circle?
Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

There were 14 students in the circle

Step-by-step explanation:

* Lets explain how to solve the problem

- The students stood in a circle

∴ The line joining each two opposite students is the diameter

  of the circle

- The 6th student was directly across from the 13th student

∴ The 6th student is opposite to the 13th student

- Lets count how many students between 6th student and

 13th student

∵ 7th , 8th , 9th , 10th , 11th , 12th students between the 6th

  student and 13th student

∴ There are 6 students between them

- Lets count how many students between 13th student and

 6th student

∵ 14th , 1st , 2nd , 3rd , 4th , 5th students between the 13th

  student and 6th student

∴ There are 6 students between them

∵ There are 6 students between 6th and 13th

∵ There are 6 students between 13th and 6th

∵ There are 2 students in 6th and 13th

∴ The number of the students = 6 + 6 + 2 = 14

∴ There were 14 students in the circle

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vladimir2022 [97]

Answer:

In both cases, if the signs of the initial numbers are the same, the answer will be positive. If the signs are different, the answer will be negative

Step-by-step explanation:

Required

Signs of results of multiplication and division

If two non-zero numbers have the same sign, and they are multiplied together, the end result will be positive.

For instance:

2 * 4 = 8

2 and 4 are positive; so, 8 is positive

-2 * -4 = 8

-2 and -4 are negative; so, 8 is positive

If two non-zero numbers have different signs, and they are multiplied together, the end result will be negative.

For instance:

-2 * 4 = -8

-2 is negative, and 4 is positive; so, -8 is negative

2 * -4 = -8

2 is positive, and -4 is negative; so, -8 is negative

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3 years ago
A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip thei
bija089 [108]

Answer:

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Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

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3 years ago
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joja [24]
$171.45

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What is the mapping rule for a 45 degree rotation?
sleet_krkn [62]

Step-by-step explanation:

Imagine a line segment on a coordinate plane that rotates around the origin like a clock hand. If it travels 45° (or any positive degree angle), it will travel in a counterclockwise direction. If it rotates -45° degrees (or any negative degree angle), it will travel in a clockwise direction.

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What is the explicit formula for this sequence?
ddd [48]

Answer:

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or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

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So your answer is

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