Apet store owner, byron, needs to determine how much food he needs to feed the animals. byron knows that he needs to order the same amount of bird food as hamster food. he needs four times as much dog food as bird food and needs half the amount of cat food as dog food. if byron orders 600 packages of animal food, how much dog food does he buy? let b represent the number of packages of bird food byron purchased for the pet store.

He needs to buy 120 packages of dod food.

Step-by-step explanation:

b - bird food

h - hamster food

d - dog food

c - cat food

b + h + d + c = 600

b = h (bird food is the same as hamster food)

b = 4 d (bird food is 4 times dod food)

c = d/2 (cat food is half dog food)

Total of packages ordered.

b + b + d + c = 600

4d + 4d + d + d/2 = 600

4 d + 4 d + d + d = 600. 2

10 d = 1.200

d= 120 the amount of dog food packages.

439400

step-by-step explanation:

130^2 = 16900

16900*26 = 439400

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).