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DiKsa [7]
3 years ago
11

William travels only on Saturdays and Sundays and has flown 1,020 miles this month. Jason travels every weekday and has flown 1,

200 miles this month. If each man travels about the same number of miles each day, who travels more miles per day this month?
Mathematics
2 answers:
Tanzania [10]3 years ago
4 0
Jason travels more miles per day this month
morpeh [17]3 years ago
3 0

Answer: William travels more miles per day this month.

Step-by-step explanation:

Since we have given that

On Saturdays and Sundays , number of miles travel by William this month = 1,020 miles

As we know that

Number of Saturdays and Sundays in a month = 8

So, number of miles per day they travel is given by

\dfrac{1020}{8}=127.5\ miles/day

On weekdays, number of miles travel by Jason this month = 1,200 miles

As we know that

Number of weekdays in a month = 30-8 =22

So, Number of miles per day they travel is given by

\dfrac{1200}{22}=54.54\ miles/day

Hence, William travels more miles per day this month.

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k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\\text{We have}\\\\k:\ 2x-y=1\ \ \ |-2x\\-y=-2x+1\ \ \ \ |\cdot(-1)\\y=2x-1\to m_1=2\\\\l:\ y=m_2x+b\\\\l\ ||\ k\iff m_2=2\\\\l:\ y=2x+b\\\\\text{The line l contains (4, -6)}\\\\\text{Put the values of coordinates to the equation of line l}\\\\-6=2(4)+b\\-6=8+b\ \ \ \ \ |-8\\b=-14\\\\Answer:\ y=2x-14\to 2x-y=14

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