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vovikov84 [41]
2 years ago
12

If a person runs 1/3 mile in 1/9 of an hour what is the unit rate per hour

Mathematics
1 answer:
Natasha2012 [34]2 years ago
4 0

Answer:

 3 miles per hour

Step-by-step explanation:

he runs 1/3 mile in 1/9 of an hour

then

he runs (we multiply both sides by 9)

 9×(1/3) mile in 9×(1/9) of an hour

then

he runs

 (9/3) mile in (9/9) of an hour

then

he runs 

 3 mile in 1 hour

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Point G bisects the line segment FH. The length of FG is 16 less than 3 times the length of GH. What is the length of FH?
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Answer: FH = 16

<h2><u>PART I</u></h2><h2 />

Concept:

Bisect means to cut or divide something into two equal parts.

In mathematics, usually bisect means cutting a segment or an angle.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

<u>Given information</u>

FG is 16 less than 3 times the length of GH

Let x be the length of GH

<u>Given expression</u>

FG = GH

<u>Set equation</u>

3x - 16 = x

<u>Add 16 on both sides</u>

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<u>Subtract x on both sides</u>

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<u>Divide 2 on both sides</u>

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--------------------------------------------------------------------------------------------------------------

<h2><u>PART II</u></h2><h2><u /></h2>

Concept:

In order to find the length of FH, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

<u>Given information</u>

FG = GH = x

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<u>Given expression deducted from the segment addition postulate</u>

FH = FG + GH

<u>Substitute values into the expression</u>

FH = x + x

FH = 8 + 8

\boxed {FH=16}

Hope this helps!! :)

Please let me know if you have any questions

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