Fire Ants can carry up to 4000 times their own body weight. Each ant weighs 4 milligrams. How many ants would it take to carry a 10 pound piece of food back to the nest if they wanted to do it in a single trip?

Step-by-step explanation:

Each ant weighs 4 milligrams.

Fire Ants can carry up to 1000 times their own body weight,

Ant can carry = 4 * 1000 = 4000mg = 4 kg

By metric conversion,

1 Kg = 2 pounds.

10 pounds = 5 Kg.

Therefore, to carry 10 pounds, (i.e) 5 Kgs, 2 ants can carry the food or 5 ants can carry 2 pounds each of food to the nest.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb