X= -41/2
12x-20=14x+21
12x-20+20=14x+21+20
12x=14x+41
12x-14x=14x+41-14x
-2x=41
-2x/-2=41/-2
x=-41/2
1 tub of popcorn = t
1 drink = t - 3.5
4(t - 3.5) + 2t = $32.50
4t - 14 + 2t = 32.5
6t = 32.5 + 14
6t = 46.5
t = 46.5 / 6
t = $7.75
The units of the initial and final rates of speed are;
<u><em>Initial rate of Speed = ft/hr</em></u>
<u><em>Final rate of speed = mi/min</em></u>
- We are told that the conversion factors he used are;
5280 ft/1 mi and 1 hr/60 min
- Now, the meaning of 5280 ft/1 mi denotes that;
5280 ft mile is equivalent to 1 mile
This means that the initial distance <em>unit </em>used was ft while the final one was mile
Also, 1 hr/60 min denotes that;
1 hour is equivalent to 60 minutes.
This means that the initial time units used was hour while the final one was minute.
- In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.
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0.85 is between 0.8 and 0.9