The reason fractions need a common denominator before adding or subtracting is so that the numbers of pieces you are adding/subtracting are all the same size. Note that the numerator of a fraction just tells you how many pieces you have of that size.
Answer:
isosceles
x=14
Step-by-step explanation:
isosceles because of the two I symbols on the triangle
x+5=2x-9
5+9=2x-x
14=x
Answer:
g(-3) = -13
Step-by-step explanation:
Plug in -3 for n in the equation:
g(n) = 3n - 4
g(-3) = 3(-3) - 4
Remember to follow PEMDAS. First, multiply, then subtract:
g(-3) = 3 * -3 = -9
g(-3) = -9 - 4
g(-3) = -13
-13 is your answer for g(-3).
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First thing to do, when you have to add 2 fractions, you have to make both denominators equal. 14/6 = 0.84, so can't multiply or divide any fraction by a whole number to get the other denominator.
So, you multiply each fraction by the denominator of the other fraction. Which means that you multiply 5/14 by the denominator of 1/6 which is 6, and you multiply 1/6 by the denominator of 5/14 which is 14.
5/14 + 1/6 = 30/84 + 14/84
Then you join both fractions to make them under one denominator, since both denominators are equal.
30/84 + 14/84 = (30+14)/84 = 44/84.
Now, you need to simplify the fraction: you divide both numerator and denominator by 4:
44/84 = 11/21
So 5/14 + 1/6 = 11/21
Hope this Helps! :)
The answer is D. If you divide 1000 by 100, it is 10. 10 is equal to 1/100 of its previous value of 1000.