Mark jumped 6 feet 9 inches in the long jump competition and George jumped 8 feet 4 inches. How many inches farther did George jump than Mark?

1 foot and 5 inches.

Step-by-step explanation:

He jumped 6 ft. 9 inch. 6.9+1.5 = 8.4

19 inches or 1 foot 7 inches

Step-by-step explanation:

6 ft 9 in

= 6(12) + 9

= 72 + 9 = 81

8 ft 4 in

= 8(12) + 4

= 96 + 4 = 100

100 - 81 = 19

rick would give her the best deal as he will charge $8.88 per hour

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4