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

312312

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3