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Answer :
a) To calculate the total number of lengths completed, we need to determine the number of lengths completed in each half of the swimming time and add them together.
In the first half, which is 2.5 hours (150 minutes), a length is completed every 2 minutes. Therefore, the number of lengths completed in the first half is 150/2 = 75.
In the second half, which is also 2.5 hours (150 minutes), a length is completed every 3 minutes. So the number of lengths completed in the second half is 150/3 = 50.
Adding the lengths completed in the first and second halves gives a total of 75 + 50 = 125 lengths.
Therefore, the total number of lengths completed in 5 hours is 125.
b) The sentence preceding the question is: "It drops off thirty passengers in Edinburgh and continues its way to Newcastle where it will terminate."
Counting the words in this sentence, we find that there are 13 words.
Therefore, the number of words in the sentence preceding the question is 13.
c) In a football league with 22 teams, each team plays against every other team twice in a season.
To calculate the total number of games played in a season, we can use the combination formula, nCr, where n is the number of teams and r is the number of games between each pair of teams.
The formula for nCr is n! / (r! * (n-r)!), where "!" denotes factorial.
In this case, n = 22 and r = 2.
Using the formula, we have 22! / (2! * (22-2)!) = 22! / (2! * 20!) = (22 * 21) / 2 = 231.
Therefore, in a football league with 22 teams, a total of 231 games are played in a season.
d) To determine the day that follows the given condition, we need to break down the expression step by step.
"Two days before the day immediately following the day three days before the day two days after the day immediately before Friday" can be simplified as follows:
"Two days before the day immediately following (the day three days before (the day two days after (the day immediately before Friday)))"
Let's start with the innermost part: "the day immediately before Friday" is Thursday.
Next, "the day two days after Thursday" is Saturday.
Moving on, "the day three days before Saturday" is Wednesday.
Finally, "the day immediately following Wednesday" is Thursday.
Therefore, the day that follows the given condition is Thursday.
e) If you walk 500 steps plus half the total number of steps, we can represent the total number of steps as x.
The expression becomes: 500 + 0.5x
This expression represents the total number of steps you have taken.
However, without knowing the value of x, we cannot determine the exact number of steps you have taken.
Therefore, the answer cannot be determined without additional information.
f) In this scenario, the rate of water pouring into the bath is 14 liters per minute from the cold tap, 9 liters per minute from the hot tap, and the rate of water draining out of the bath is 12 liters per minute.
To find the time it takes for the bath to be completely full, we need to determine the net rate of water inflow.
The net rate of water inflow is calculated by subtracting the rate of water drainage from the sum of the rates of water pouring in from the cold and hot taps.
Net rate of water inflow = (14 + 9) - 12 = 11 liters per minute
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