A car travels 729 km in 14 days. At this rate, how far would it travel in 42 days?

Answer 1

2187km

Firstly, find out the distance it would travel in a day,

#729/14#

Multiply it by 42 days,

#729/14xx42=2187#

Hence, the car would travel 2187km in 42 days.

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Answer 2

Expansion on method given by S3-J E

Consider the ratio #("distance")/("day count")->729/14#
But we need the distance for 42 days Using the same principle as #1/2=2/4=4/8=?/16#
#("distance")/("day count")->729/14 =("distance")/42#
To 'get rid' of the 42 in #("distance")/42# we change it to the value of 1.

What you do to one side you do to the other:

Multiply #ul("both")# sides by #color(red)(42)#
#color(green)(729/14color(red)(xx42)" " =" "("distance")/42color(red)(xx42))#
#color(green)(2187" " =" distance"xx42/(color(red)(42)))#
but #42/42# is the same as 1
distance #=2187#
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Answer 3

To find out how far the car would travel in 42 days, you can set up a proportion based on the given information:

[ \frac{{\text{Distance traveled in 14 days}}}{{\text{Time taken in 14 days}}} = \frac{{\text{Distance traveled in 42 days}}}{{\text{Time taken in 42 days}}} ]

[ \frac{{729 , \text{km}}}{{14 , \text{days}}} = \frac{{x , \text{km}}}{{42 , \text{days}}} ]

Solving for ( x ):

[ x = \frac{{729 , \text{km} \times 42 , \text{days}}}{{14 , \text{days}}} ]

[ x = \frac{{729 , \text{km} \times 3}}{{1}} ]

[ x = 2187 , \text{km} ]

Therefore, the car would travel 2187 km in 42 days at the same rate.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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