Hannah lines up 6 plastic letters on a sign to spell her name. each letter takes
up 5/8 inch of space on the sign.
the total amount of space taken up on the sign by the letters in hannah's
name is between which two whole numbers?

The amount of space taken up on the sign by the letters in Hanna's name is between 3 and 4

Explanation:

Hannah's name has 6 letters

We are given that each letter occupies inch of space on the sign

Therefore:

Total space occupied by the six letters = spec occupied by 1 letter × 6

Total space occupied by the six letters = in

Now, written as decimal is 3.75

3.75 is more than 3 and less than 4

It lies between the two whole numbers 3 and 4

This means that:

The amount of space taken up on the sign by the letters in Hanna's name is between 3 and 4

Hope this helps :)

if you mean

then it's c. 8, -7/3

but if you mean

then it is

(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