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Orlov [11]
3 years ago
12

During a school tournament, Team A had 10 of its 12 team members present.

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

Team A.

Step-by-step explanation:

We know that Team A had 10 of its 12 members present.

We can write this as the following fraction:

A=10/12

We can convert this to a decimal by dividing the two numbers. Use a calculator:

A\approx.8333

And we can convert this to a percent by moving the decimal too places to the right and by adding a percent sign:

A\approx83.33\%

So, about 83.33% of members on Team A was present.

We know that Team B had 13 of its 15 members present.

We can write this as the following fraction:

B=13/15

Again, we can convert this to a decimal by dividing the two numbers:

B\approx 0.8667

Change this to a percent:

B\approx86.67\%

So, Team A had a participation rate of 83.33% while Team B had a participation rate of 86.67%.

So, the team that had the lesser percent of the team present at the tournament is Team A.

And we're done!

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A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row. All the lights start out off. The first
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<u>Solution-</u>

A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.

As all the lights start out off, in the first pass all bulbs will be turned on.

In the second pass all the multiples of 2 will be off and rest will be turned on.

In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.

In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.

But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.

This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.

1 = 1

2 = 1, 2

3 = 1, 3

<u>4 = 1, 2, 4</u>

5 = 1, 5

6 = 1, 2, 3, 6

7 = 1, 7

8 = 1, 2, 4, 8

9 = 1, 3, 9

10 = 1, 2, 5, 10

11 = 1, 11

12 = 1, 2, 3, 4, 6, 12

13 = 1, 13

14 = 1, 2, 7, 14

15 = 1, 3, 5, 15

16 = 1, 2, 4, 8, 16

so on.....

The numbers who have odd number of factors are the perfect squares.

So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.

As,  \sqrt{1800} =42.42  , so 42 perfect squared numbers are there which are less than 1800.

∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.

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3 years ago
What is the expression for k more than 8?
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Answer:

k>8

Step-by-step explanation:

k more than 8 indicates that the value of k is larger than 8. So the inequality sign opens towards k and closes towards 8.

Hope this helps!

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Answer:

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Answer:

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Step-by-step explanation:

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