Mr. quark drove his car 314 miles in 6.5
hours. he used 12.7 gal of gas. find
these rates:
a. miles per hour
48.3 mph
51.6 mph
b. miles per gallon
24.7 mpg
22.5 mpg
c. gallons per mile
0.07 gal/mi
0.04 gal/mi

  a) 48.3 mph

  b) 24.7 mpg

  c) 0.04 gpm

Step-by-step explanation:

a) "per" means "divided by", so "miles per hour" means "miles divided by hours":

  (314 mi)/(6.5 h) = 48.3 mi/h

__

b) (314 mi)/(12.7 gal) = 24.7 mi/gal

__

c) (12.7 gal)/(314 mi) = 0.04 gal/mi

Hopefully, you recognize that gallons per mile is the inverse of miles per gallon:

  1/(24.7 mi/gal) = (1/24.7) gal/mi = 0.04 gal/mi

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076