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mel-nik [20]
3 years ago
7

Find this sum. Explain your method. 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 2/3 + 2/4 + 2/5 + 2/6 + 3/4 + 3/5 + 3/6 + 4/5 + 4/6 + 5/6

Mathematics
1 answer:
sasho [114]3 years ago
8 0
Your answer to the question is 15/2 which in decimal form is 7.5
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148

Step-by-step explanation:

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6.746913 rounded to the nearest tenths place
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Step-by-step explanation:The tenths place is the first number after the decimal. In order to know what happens to the whole number you look at the number after the decimal and if its greater than 5 then goes up if no it stays the same. Ex: 2.5 rounded to the tenths place is 3

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Can someone please help me factor this
Dmitry_Shevchenko [17]

Answer:

\huge\boxed{\bf\:1}

Step-by-step explanation:

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \times   \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }

Take \frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  } & factorise it at first.

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}

Now factorise the next set : \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }.

\frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\=  \frac{x-4}{x-1}

Now, multiply the two simplified results.

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \times   \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}

\rule{150pt}{2pt}

7 0
2 years ago
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