Question

I just need to make sure that I am correct on this. Would 180 miles per 2 hours be converted to 264 feet per second?

Answer 1

change miles to feet:
\[ 180 \cancel{\text{ miles}} \cdot \frac{5280 \text{ feet}}{1 \cancel{\text{ miles}}} \]

change hours to seconds
\[ 2 \cancel{\text{ hours}} \cdot \frac{ 60 \cancel{\text{ min}}}{1 \cancel{\text{ hours}} } \cdot \frac{ 60\text{ sec}}{1 \cancel{\text{ min}} }\]

Answer 2

then divide the feet by the seconds to get ft/sec

Answer 3

I am not quite understanding

Answer 4

do you know how to convert miles to feet? every mile is 5280 feet
that means 1 mile is 5280 feet
2 miles is twice as far or 2*5280 feet
3 miles is three times 5280 feet and so on

what is 180 miles in feet ?

Answer 5

those are the conversions from miles to feet, and from hours to seconds

Answer 6

from miles per hour to feet per second

Answer 7

180 miles in feet is 950,400 feet

Answer 8

next, can you change 2 hours to seconds ?

Answer 9

yes. 7200 seconds. right?

Answer 10

now you know
\[ \frac{180 \text{ miles}}{2 \text{ hours}} = \frac{ 950400 \text{ ft}}{7200 \text{ sec}}\]

Answer 11

so, now do I just divide 950,400 by 7200

Answer 12

yes, you should simplify that fraction

Answer 13

so it would simplify to 132 ft per sec.

Answer 14

yes

Answer 15

Thank you so much!

Answer 16

we could have made the problem a little bit easier by immediately simplifying
180 miles/ 2 hours to 90 miles / 1 hour

and then changing 90 miles to feet, and 1 hour to 3600 seconds

Answer 17

yeah. but my teacher wants us to set it up like this

Answer 18

yes, but that does not prevent you from simplifying 180/2 into 90/1

Answer 19

I understand.

Answer 20

and if I were doing the conversion, I might write it like you just did. But it is more difficult to explain in these tiny boxes, so I did the top and bottom separately.

Answer 21

ohhh okay.

Answer 22

And I have another question that says "tickets cost $19.95 each, and there is a $3 charge for each order no matter how many tickets are ordered. Write an expression for the cost in dollars of ordering tickets." would I put
19.95x + 3 ?

Answer 23

or 19.95x + 3x ?

Answer 24

It might help your thinking to define what "x" represents. x is the number of tickets.

the cost for ordering "x" tickets will be x * cost of each ticket plus $3 charge
in other words
x*19.95 + 3
which is usually written as
19.95x + 3 (we put the number in front of the variable)