To convert a distance of 3.7 miles to feet, which ratio could you multiply by?

Question

Roman Alvarez · Accepted Answer

5,280

There are 5,280 feet in a mile. Converting 3.7 miles to feet, #3.7 * 5280 = 19536#

Emery Allen · Answer

#5280# There are #1760# yards in a mile and #3# feet in a yard. Hence there are #5280 = 1760 xx 3# feet in a mile. So #3.7# miles is: #3.7 xx 5280 = 19536# feet

Nova Allen · Answer

So: #" "3.7xx("top number")/("bottom numbers") = "feet for 3.7 miles"#

#color(green)("Has the ratio of "("top number")/("bottom numbers") =5280/1)# #color(blue)("Preamble")# Depending on which way up you wish to write the ratio. As long as you clearly indicate which is which you should be fine. I choose #("feet")/("miles")# because we are given the miles but not the feet. It is much better to put the unknown on the top (numerator) as this reduces the amount of manipulation required to determine its value. '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Building the ratio")# I think they are looking for something like. #3.7xx("top number")/("bottom numbers") = "feet for 3.7 miles"# ...................................................................................... Known: 5280 feet = 1 mile #color(brown)(("feet")/("miles") -> 5280/1 -=("feet")/3.7 )# Multiply both sides by #color(blue)(3.7)# #color(brown)(color(blue)(3.7xx)5280/1 " " =" "("feet")/3.7color(blue)(xx3.7) )# #color(brown)(color(blue)(3.7xx)5280/1 " " =" ""feet"color(blue)(xx) color(blue)(3.7)/3.7 )# But #3.7/3.7=1# giving #3.7xx5280/1" "=" feet"# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ So: #" "3.7xx("top number")/("bottom numbers") = "feet for 3.7 miles"# Has the ratio of #("top number")/("bottom numbers") =5280/1#

Noah Archer · Answer

undefined To convert 3.7 miles to feet, you can multiply by the conversion factor 5280 feet per mile.