in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.
D = distance of marathon = 42.195 km = 42195 m
tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec
Vw = speed of winner
speed of winner is given as
Vw = D /tw = 42195/8220
ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s
Vs = speed of second place
speed of second place is given as
Vs = D /ts = 42195/8774
distance of the second place holder from the finish line is given as
D' = Vs (ts - tw)
D' = (42195/8774 )(8774 - 8220)
D' = 2664.24 m
D'= 2.664 km
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Write the system of equation based on the problem
"A total of 345 tickets that consists of adult tickets and students ticket were sold" could be written as:
∴ a + s = 345 <em>(first equation)</em>
"<span>the number of student tickets sold was two times the number of adult tickets sold" could be written as:
</span>∴ s = 2a <em>(second equation)</em>
<span>
Solve the system of equation
Substitute 2a as s in the first equation
a + s = 345
a + (2a) = 345
3a = 345
a = 345/3
a = 115
There are 115 adult tickets sold.</span>
Supposed that we are given the equation:
7.20 x 10^-5 = x(0.100+x)^2
So assuming that x is very small so that:
0.100 + x ~ 0.100
and calling it x1, so:
7.20 x 10^-5 = x1 (0.100)^2
Then we simply solve for x1:
x1 = 7.20 x 10^-5 / (0.100)^2
<span>x1 = 7.20 x 10^-3</span>
Answer:
5 but its probaly not right bc im just looking for pointsStep-by-step explanation:
