a company uses two vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00 am . one van has 6 m
2 answers:
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<h3>Answer: 4</h3>
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Explanation:
We're given the following
which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.
So looking at the multiples of 6 that are between 30 and 56 leads us to
{30, 36, 42, 48, 54}
but we cross off 30 as we want x to be larger than that, so we get this updated final list
{36, 42, 48, 54}
There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.
Answer:
Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.
Step-by-step explanation:
Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.
So, 4 men and 6 boy's 1 day work is and
And, 3 men and 4 boy's 1 day work is and
Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.
So, we have,
Let, and
So, the equations are,
................(1)
................(2)
Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,
i.e.
i.e.
i.e. y = 70.
Substitute value of 'v' in (1) gives,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. x = 35
So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.