A pet store owner, Brooklyn, needs to determine how much food she needs to feed the animals. Brooklyn knows that she needs to order the same amount of bird food as hamster food. She needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Brooklyn orders 600 packages of animal food, how much dog food does she buy? Let b represent the number of packages of bird food Brooklyn purchased for the pet store.

She ordered 85.7 packages as dog food

Step-by-step explanation:

Let b represent bird food, d represent dog food and c represent cat food.

The bird food is 4 times as much dog food. This can be represented as b = 4d

Also, the dog food is half the amount of cat food, it can be represented as d = 1/2c. Therefore, c = 2d

The total feed is 600.

Therefore dog feed + cat feed + bird feed = 600

d + 2d + 4d = 600

7d = 600

d = 600/7 = 85,7

She ordered 85.7 packages as dog food.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c