tiwaribianca475
22.03.2021 •
Mathematics
A team manager buys a water bottle and a hat for each of the 10 players on the football team. Each hat costs $7.50. The team manager spends a total of $200 for water bottles and hats. Enter an equation that modes the situation with u, the cost of one water bottle.
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Ответ:
9514 1404 393
after 32 minutes
Step-by-step explanation:
They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.
The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...
LCM(120, 128) = 120×128/GCD(120, 128)
LCM = 120×128/8 = 1920 . . . . . seconds
Converting this to minutes, we get ...
(1920 s)/(60 s/min) = 32 min
They will next cross the start line together after 32 minutes.