Free round trip tickets Hawaii were given to 0.4% of the people staying at a hotel. Larry says that tickets were given to 4/10 of the people at the hotel.

He is badly mistaken! It's 4/1000

Larry needs to learn how to read percentages!

Step-by-step explanation:

4/10 would be 40%  For every 100 guests, 40 free tickets would be given away. A very popular offer, but the hotel will soon be out money, and out of business!

0.4% is less than 1% . As a decimal it is 0.004. That is Four thousandths!

Only 4 out of every 1000 people were given free round trip tickets to Hawaii.

-4

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.