Answer: He actually rode 2 miles per hour on his trip
Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.
Time = distance /speed t will represent time, s is the speed: t = 30/s Use the rime it would have taken at the higher speed to create an equation:
t-12 = 30/s+8 replace the y with the 30/s
30/s -12 = 30/s+8
(s)(30/s -12 ) = (s)(30/s+8 ) Cross multiply to cancel denominators
(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s Simplify:
(-1)(-12s² -96s +240 ) =0 ==> 12s² +96s -240 divide all by 12
s² + 8s -20 = 0 Factor and solve for s
(s +10)(s -2) =0 s-2=0 S= 2
Proof:
30/2 = 15 hours for original trip at 2mph,
increase speed by 8mph 2 + 8 = 10mph
30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.
(Brainilest, please :-)
286. you just subtract the two numbers
You need to use the grids to draw rectangles which meet the requirements to help you put the answers in on the right.
1) Short side of 7 and long side of 9.
2) Short side of 9 and long side of 10.
3) Short side of 3 and long side of 8.
4) Short side of 4 and long side of 9.
5) Short side of 3 and long side of 5.
6) Short side of 6 and long side of 8.
7) Short side of 1 and long side of 2
8) Both sides 10 (this is technically a square).
9) Short side of 6 and long side of 9.
10) Short side of 7 and long side of 8.
11) Short side of 2 and long side of 3.
12) Short side of 6 and long side of 9.
You can draw these a few different ways to still get a correct result, so above are just one way of doing it.
Steps:
6 1/4 - 4 3/15 can also be written as 25/4 - 23/5
The LCD of 4 and 5 is 20.
That gives us 125/20 - 92/20.
Now, just subtract the numerators (leave the denominators the same).
That brings us to 33/20, which can be simplified to 1 13/20
Final Answer:
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<u><em>*Please mark brainliest if that helped!*</em></u>
