If the circumference of each tire on a vehicle is approximately 88​ in., how many miles will the vehicle travel when the tires make 34 ​,000 ​revolutions?

Respuesta :

to figure it out you would take 88 inches and multiply it by 34,000 revolutions
one revolution would equal 88 inches traveled.
88 inches x 34,000 equals 2,992,000inches
there are 12 inches in a foot so you would divide 2,996,000in by 12inches to get the amount of feet
2,996,000 / 12in equals 249,666.667ft
there are 5280 feet and in a mile so you would divide 249,666.667ft by 5280 to get your answer of 47.2853536 miles round it to approximately 47.3 miles

Answer:  47.22 miles

Step-by-step explanation:

Given : The circumference of each tire on a vehicle is approximately 88​ in.

It means the distance covered by vehicle in one revolution of tire is approximately 88 in.

Then, the distance covered by vehicle in 34 ​,000 ​revolutions of tire is given by:-

[tex]34000\times\text{Circumference}\\\\=34000\times88=2992000\text{ in}[/tex]

Since 1 foot = 12 inches

Then, [tex]2992000\text{ in}=\dfrac{2992000}{12} \text{ feet}[/tex]

Also, 1 mile = 5280 feet

Then, [tex]\dfrac{2992000}{12} \text{ feet}=\dfrac{2992000}{12\times5280}\text{ miles}\\\\=47.2222222222\approx47.22\text{ miles}[/tex]

Hence, the  distance covered by vehicle in 34 ​,000 ​revolutions of tire = 47.22 miles.