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3 years ago

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A hiker carried 1 gallon of water on a hike. She drank 1/2 of the water when she stopped to rest and gave an equal amount of the

remaining water to each of 4 friends. What fraction of the 1 gallon of water did each friend receive?

1 answer:

m_a_m_a [10]3 years ago

6 0

Answer:

The answer to your question is 1/8

Step-by-step explanation:

Data

Total volume = 1 gallon

Water drank by the hiker = 1/2

Water drank by each of his friends = ?

Process

1.- Calculate the water that he gave to his friends

Water gave to his friends = 1 - 1/2

= 1/2

2.- Calculate the amount of water each friend received.

1/2 ÷ 4 = 1/8

3.- Conclusion

Each of the friends received 1/8 of the gallon.

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3 years ago

If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures

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Answer:

Part a) $ML=15\ units$

Part b) $HM=30\ units$

Part c) $JM=21\ units$

Part d) $MI=42\ units$

Part e) $GM=40\ units$

Part f) $MK=20\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid is located two thirds of the distance from any vertex of the triangle

Part a) Find ML

we have

$HL=45\ units$

we know that

$ML=\frac{1}{3}HL$

substitute the given value

$ML=\frac{1}{3}(45)$

$ML=15\ units$

Part b) Find HM

we have

$HL=45\ units$

we know that

$HM=\frac{2}{3}HL$

substitute the given value

$HM=\frac{2}{3}(45)$

$HM=30\ units$

Part c) Find JM

we have

$JI=63\ units$

we know that

$JM=\frac{1}{3}JI$

substitute the given value

$JM=\frac{1}{3}(63)$

$JM=21\ units$

Part d) Find MI

we have

$JI=63\ units$

we know that

$MI=\frac{2}{3}JI$

substitute the given value

$MI=\frac{2}{3}(63)$

$MI=42\ units$

Part e) Find GM

we have

$KG=60\ units$

we know that

$GM=\frac{2}{3}KG$

substitute the given value

$GM=\frac{2}{3}(60)$

$GM=40\ units$

Part f) Find MK

we have

$KG=60\ units$

we know that

$MK=\frac{1}{3}KG$

substitute the given value

$MK=\frac{1}{3}(60)$

$MK=20\ units$

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You are 150 miles away and it takes you 2.5 hours to get there so your equation is:

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Answer:

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α/2 = 0,0125

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MOE = |-2,2| * 4/√n

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