If tan θ=−4/7, and 270°<θ<360°, what is sec θ?
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The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis
<h3><u>Solution:</u></h3>Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to use.
If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make
We need to find greatest common factor of 88, 60 and 54
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
<em><u>Greatest common factor of 88, 60 and 54:</u></em>
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88
Then the greatest common factor is 2
On dividing the number of fruits by 2 we get
Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis