Jim has three times as many comic books as charles. charles has 2/3 as many books as bob. bob has 27 books how many book does jim have.

Jim has 54 books.

Bob has 27 books.

Charles has 2/3 as many books as Bob:

27 ÷ 3 = 9

9 x 2 = 18

Charles has 18 books.

Jim has 3 times as many books as Charles:

18 x 3 = 54  therefore Jim has 54 books.

Step-by-step explanation:

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).