Asmall publishing company is planning to publish a new book. the production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). the one-time fixed costs will total $45,920. the variable costs will be $11.25 per book. the publisher will sell the finished product to bookstores at a price of $21.50 per book. how many books must the publisher produce and sell so that the production costs will equal the money from sales?

Number of books = 4480.

Step-by-step explanation:

Given that fixed cost = $45920

Given that variable cost = $11.25 per book

Let number of books  = x

then cost equation is given by 11.25x + 45920

Given that selling price of 1 book  = $21.50

then selling price is given by 21.50x

Now we need to find about how many books must the publisher produce and sell so that the production costs will equal the money from sales.

So let's set both equal

21.50x = 11.25x + 45920

21.50x - 11.25x = 45920

10.25x = 45920

x = 45920/10.25

x = 4480

Hence number of books = 4480.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it