Mathematics, 06.02.2022 17:00 naomicervero

A hiking trail is 2.4 miles long. Two hikers walked 2 2/8 miles along the trail. Did they walk the entire trail? Explain your thinking. (Please give step by step math)

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Answer from: Bryanguzman2004

They did not walk the entire trail.

Step-by-step explanation:

We can first convert 2.4 to a fraction.

(List of decimal places to make the explanation easier to follow)

.0 - tenths

.00 - hundredths

.000 - thousandths

We can split 2.4 into 2+0.4

Start by converting 0.4...

Since the "4" is in the tenths place this means that the fraction would be 4/10.

We can simplify this by dividing 4/10 by 2/2. Notice we can only do this because 2/2 is equivalent to one, so in a sense we are only dividing the fraction by 1.

$\frac{4/2}{10/2}=\frac{2}{5}$

Now we add the 2 back on to get...

2 2/5

We can turn it into an improper fraction (multiply the first "large" number by the denominator of the fraction and then add the numerator)

12/5

Now, convert the second fraction...

18/8

We can simplify this by again dividing the fraction by 2/2...

9/4

Now we compare which is greater using the cross multiplication method (numerator of the first fraction multiplied by denominator of the second fraction and numerator of the second fraction multiplied by the denominator of the first fraction):

12*4

9*5

48>45

Therefore 12/5 is greater meaning the hikers did not walk the entire trail

Answer from: Quest

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2 is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes. our only condition is that it passes through the point (-2,5)

A. write an equation of a line that passes through (-2, 5). b. how many different equations could y

Answer from: Quest

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540

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A hiking trail is 2.4 miles long. Two hikers walked 2 2/8 miles along the trail. Did they walk the e...