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A plane travels at a speed of 213 miles per hour. Work out an estimate for the number of seconds the plane takes to travel 1 mile.

Since the plane travels 213 miles per hour, it must travel on average 1 mile every 1/213rd of an hour.We know that there are 60 minutes in 1 hour, and 60 seconds in a minute, so there are 60 x 60 = 3600 seco...
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Answered by Tom L. Maths tutor
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Solve x^2 + 5x -14 = 0

x 1 = 2x 2 = -7
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Answered by Hannah W. Maths tutor
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Write √80 in the form c√5, where c is a positive integer.

Firstly, we recall that √ab=√a x √b. Noticing that 80=16 x 5 then, we have that √80=√16 x √5. Since √16 = 4 then, we have that √80=4 x √5. So, giving the final answer in the form that the question asks: c=4,...
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Answered by Tutor524731 D. Maths tutor
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factorise fully: 10pq +15pqr

First thing you have to do is look at the number 10 and number 15. which number goes into 10 and 15 , its 5. 5 goes outside the first bracket. = 5( )next you have to find the like terms, both 10pq and 15pqr ...
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Answered by Annabel T. Maths tutor
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A race across America is 3096.25 miles. Juan knows from a previous race that his average speed is 15.12 miles per hour. If he cycles for 8 hours per day, how many days will it take him to finish the race?

Firstly we should get the answer distance Juan can cover per day. We know Distance = Speed * Time so the distance per day = 15.12 miles per hour * 8 hours = 120.96 miles per day.Once we know this we can find...
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Answered by Alister H. Maths tutor
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