a migrating bird flies 468 miles in 13 hours. how many miles does it fly in 3 hours?

to solve for 3 hours, we need to figure out how many miles the bird can fly in 1 hour. to do that, we need to divide the numerator and denominator by 13.

[tex]\frac{36mi}{1hr}[/tex]

now we have a unit rate that represents distance covered per hour.

to solve for 3, we need to multiply the numerator and denominator by 3.

[tex]\frac{108mi}{3hrs}[/tex]

the question is asking for miles. therefore, the bird can fly 108mi in 3 hrs.

hope this helps!

didemcallista didemcallista · Answer 2 · 2020-10-08T21:33:27+02:00

Answer:

108 miles

Step-by-step explanation:

For this problem you can create a proportion:

[tex]\frac{468 miles}{13 hours}[/tex]

To find how many miles it flies in 3 hours, we need to find the unit fraction. Do this by making the denominator (bottom number) 1:

here, we must divide by 13:

[tex]\frac{468 miles}{13 hours}[/tex]÷[tex]\frac{13}{13}[/tex]= [tex]\frac{36 miles}{1 hour}[/tex]

Each hour, they fly 36 miles.

To find how many miles they fly in 3 hours, make a proportion:

[tex]\frac{36 miles}{1 hour}[/tex]=[tex]\frac{x miles}{3 hours}[/tex]

Then, solve:

use cross multiplication:

36·3=108

x·1=x

108=x