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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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576 + 49 = x²

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Please help me: A cereal company fills boxes with 16 ounces of cereal. The acceptable percent error in filling a box is 2.5%. Fi
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Expon
Tema [17]

A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.

<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
  • Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.

For example, √128, √16

  • Like radicals: Radicals that have the same root number and radicand (expression under the root)

For example, 2√x and 5√x are like terms.

Here in the question radical expressions are given,

  • 5∛2x
  • -4x∛2
  • 5√2x
  • -3∛2x
  • 5x√2x

By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.

Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.

Learn more about radicals here:

brainly.com/question/16181471  

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3 0
2 years ago
Liam biked for 3 hours at a speed of 8 mph and then walked the remaining part of his way at a speed of 3 mph. If the total dista
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Answer:

2 hours

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First we need to know the distance Liam travelled using the bike.

If his speed was 8 mph and he travelled 3 hours, the distance travelled by bike is:

d = 8 * 3 = 24 miles

The total distance is 30 miles, so the remaining is:

30 - 24 = 6 miles

He travelled 6 miles with the speed of 3 mph, so the time walking is:

time = 6 / 3 = 2 hours

5 0
3 years ago
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