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slava [35]
3 years ago
9

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?
Mathematics
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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sweet-ann [11.9K]

Answer:

7

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Step-by-step explanation:

7 0
3 years ago
If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures
AysviL [449]

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

6 0
4 years ago
7+7=14RIGHT.Then WHAT IS14-7.A=33×4=___a
JulijaS [17]
14-7=7, and 33×4 is 132
7 0
3 years ago
You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the
Gekata [30.6K]
 <span>y=-40x+100 This equation says your friend lives 100 miles away and travels 40 miles per hour. He takes 2.5 hours to get there.

y = -40x + 100 If y=0 then x = 100/40 = 2.5 hours and if x=0 then y=100.

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

0 = -2.5v + 150 You are solving for velocity.

v = 150/2.5 = 60 miles per hour. Now we can write the answer to the problem.

y = -60x + 150 Compare that to the original statement.

y = -40x + 100 Your buddy's speed is 40 and yours is 60. He has 100 miles to go and you have 150. Otherwise it's the same equation.</span><span> </span>

4 0
3 years ago
Scientists want to estimate the mean weight of mice after they have been fed a
krek1111 [17]

Answer:

n = 484

Step-by-step explanation:

If Confidence Interval  CI = 95 %   then α = 5%  and α/2 = 2,5 %

α/2 = 0,0125

MOE for normal distribution is:

MOE = z * σ/√n

For α/2 = 0,0125    ⇒ z(score) = -2,2

MOE = |-2,2| * 4/√n

0,4*√n = 8,8

√n = 8,8 / 0,4

√n = 22

n = 484

5 0
3 years ago
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