To drive 35 miles at 30 mph takes (35/30) hour.
To drive 35 miles at 25 mph takes (35/25) hour.
The difference is (35/25) minus (35/30).
In order to add or subtract fractions, they need a common denominator.
The smallest one available for this situation is 150 .
(35/25) = 210/150
(35/30) = 175/150
Now we can subtract: (210/150) - (175/150) = 35/150 of an hour.
(35/150 hour) x (60 min/hr) = (35 x 60) / (150) min = 14 minutes.
==> It's beginning to look like the answer is NOT 40minutes.
Let's do it again, with a less-elegant but more-intuitive approach:
Time to drive 35 miles at 30 mph = 35/30 = 1-1/6 hours = 70 minutes.
Time to drive 35 miles at 25 mph = 35/25 = 1.4 hours = 84 minutes.
<span>Time saved by driving at 30 mph instead of 25 mph = (84 - 70) = 14 minutes. </span>
i believe that the domain,x, is 0≤x≤∞
17=3*5+2
so each person will get 5 cookies with 2 left over
The correct answer is
y=x²+2x+7
y=x+7
==>x²+2x+7=x+7
==>x²+x=0
==>x(x+1)=0
==>(x=0 and y=7) or (x=-1 and y=-1+7=6)
Sol={(0,7),(-1,6)}
Hope this helps!
There are 1760 yards in one mile and the rink is 250 yard in perimeter.
This means 3 miles is 5280 yards.
If Sam has already gone around the whole rink 6 times, that means he was traveled a total of 1500 yards.
Sam has 3780 more yards to travel 3 miles.
This means he needs to do 15.12 more laps around the rink. Or 16 if you are rounding.
Hope this helps! :)