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a bag has 30 tiles, numbered 1 through 30 write each ratio in its simplest form odds to evensperfect squares to non perfect squaresprimes to composites Show your work please

Sagot :

Habiba, this is the solution:

a. We have 15 odd and 15 even tiles, therefore the ratio is:

15 : 15, written in its simplest form: 1:1

For every odd tile, there is an even.

b. We have the following perfect squares:

1, 4, 9, 16, and 25. Therefore, we have:

5 perfect squares and 25 non-perfect squares.

Therefore, the ratio is 5:25,

written in its simplest form: 1:5

For every perfect square, there are five non-perfect squares.

c. We have the following composite numbers:

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30. Nineteen in total. Let's recall that a composite number can be defined as the whole numbers that have more than two factors.

And we have the following prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Ten numbers in total. Let's recall that a prime number has no positive integer divisors other than 1 and itself.

In consequence the ratio in its simplest form is: 10:19, but if we consider 1 as a prime number, the ratio would be: 11:19.