A bag has 2 blue, 3 red, and 5 yellow tiles. Find the probability of picking a blue tile.

Given:

A bag has 2 blue, 3 red, and 5 yellow tiles.

To find:

The probability of picking a blue tile.

Solution:

We have,

Number of blue tiles = 2

Number of red tiles = 3

Number of yellow tiles = 5

Total number of tiles =

                                   =

Now, the probability of picking a blue tile is

Therefore, the probability of picking a blue tile is 0.2.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40