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Gala2k [10]
1 year ago
9

Mr. McCracken and his friends are going on a golf trip. He wants to make golf bags to take on the trip. He has 24 golf trees and

36 golf balls. Each golf bag must have the same number of golf trees and the same number of golf balls. What are the possible numbers of golf bags Mr. McCracken can make so that the golf trees and golf balls are shared equally? Describe each possibility.
Mathematics
1 answer:
aleksandr82 [10.1K]1 year ago
5 0

There are in total Six cases possible - 1,2 ,3,4,6,12

Number of Golf Trees = 24

Number of Golf balls = 36

H.C.F [ Highest common factor] -

⇒ 24 = 2 * 2 * 2 * 3 * 1

⇒ 36 = 2 * 2 * 3 * 3 * 1

Case 1 ) Bag = 1 [ Total Golf trees = 24]

                           [ Golf trees = 36] [in each bag]

Case 2 ) Total Bags = 2

[Golf balls = 18]

[ Golf trees = 12] [in each bag]

Case 3 ) Total Bags = 3

Golf balls = 8

Golf trees = 10  [in each bag]

Case 4 ) Total Bags = 4

Golf balls = 9

Golf trees = 8 [in each bag]

Case 5 ) Total Bags = 6

Golf trees = 4

Golf balls = 6 [ in each bag ]

Case 6 ) Total Bags = 12

Golf balls = 3

Golf trees = 2 [ in each bag ]

Hence, There are in total Six cases possible - 1,2 ,3,4,6,12

To understand more about probability :

brainly.com/question/25870256

#SPJ9

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<h3>2. During which time period does London's elevation change the fastest?</h3>

The greater the absolute value of the slope of the line the faster London's elevation changes. Since this is a Piecewise function, we must analyze each period.

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→ Between 0 minutes and 4 minutes the function is constant, so there is no any change here.

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→ Between 14 minutes and 18 minutes the function has a positive slope, so there is change here.

Let's take two points here, say, (16,5) \ and \ (18,3)

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As you can see, the absolute value here is 1 that is greater than 0.75.

<em>In conclusion, London's elevation changes the fastest between 14 and 18 minutes</em>

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