. The school wants to have all of the students enrolled in social studies classes read the same book at the same
time so that the author of the book can speak to the
students at an assembly. The school originally purchased
two classroom sets of 30 books each, but now one set is
missing 3 books and the other is missing 5. For which
of the following class periods, if any, are there NOT
enough books available for each student to have one
book?
A. Period 2 only
B. Period 3 only
C. Period 4 only
D. Period 3 and 4 only
E. There are enough books for each class period

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

she was supposed to add the hours(38.5) and multiply the amount of money she earned(7.50) resulting in $288.75 .

correct me if i'm wrong and if it is i'm truly sorry.

f(x)=4

step-by-step explanation: