Answer:
The least value of n is 17.
Step-by-step explanation:
First term (a) = 46
Second term (a + d) = 43
Third term (a + 2d) = 40
Common difference (d) = second term - first term = 43 - 46 = -3
Tn (nth term) = a + (n - 1)d
a = 46, d = -3
Tn = 46 + (n - 1)-3 = 46 + (-3n + 3) = 46 - 3n + 3 = 49 - 3n
For Tn to be negative, the product of 3 and n must be greater than 49.
Therefore, the least value of n is 17
Divide both by 18.
<span>140/18=7.78 </span>
<span>So... $7.78 per foot</span>
9514 1404 393
Answer:
KM = 4
Step-by-step explanation:
The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*
KL +LM = KM
(5x +1) +(3x +3) = 5x +4
8x +4 = 5x +4 . . . .simplify
3x = 0 . . . . . . . . . . subtract 5x+4
x = 0 . . . . . . . . . . . divide by 3
Then the length of KM is ...
KM = 5x +4 = 5·0 +4 = 0 +4
KM = 4
_____
* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.
To convert a mixed fraction into an improper fraction, we must follow some steps.
First, we take the whole part and multiply it by the denominator of the fraction.
In this case, we take 2 and multiply it by 8.
Now we add the numerator:
16+3=19
The denominator stays the same:
Hope it helps! :)
