There are some books on three shelves. On the bottom shelf there are half as many books as on the other two shelves. On the middle shelf there are three times less than on the other two shelves. On the top shelf there are 30 books. How many books are on all three shelves?

There are 72 books on all the three shelves.

Step-by-step explanation:

Given:

On the bottom shelf there are half as many books as on the other two shelves.

On the middle shelf there are three times less than on the other two shelves.

On the top shelf there are 30 books.

Now, to find the books on all three shelves.

Let the books on the middle shelf be

The books on the top shelf are 30.

The books on the bottom shelf =

So, the books on the middle shelf:

Multiplying both sides by 2 we get:

Subtracting both sides by we get:

Dividing both sides by 5 we get:

Thus, the books on middle shelf are 18.

Now, to get the books on the bottom shelf by substituting the value of :

Hence, the books on the bottom shelf are 24.

Now, to get the total books on all the three shelves we add the books of top, middle and bottom shelf:

Therefore, there are 72 books on all the three shelves.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

answer:

a=9

step-by-step explanation: lmk if you need a explanation