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Irina18 [472]
3 years ago
8

He distance between Miami and Naples is 107 miles. The distance between Miami and Jacksonville is about three times this distanc

e. Landon estimates the distance between Miami and Jacksonville is about 400 miles. Is Landon's estimate reasonable? Why or why not?
Mathematics
1 answer:
zmey [24]3 years ago
4 0

Answer:

Step-by-step explanation:

Distance between Miami and Naples = 107 miles

Distance between Miami and Jacksonville is about three times this distance.

Distance between Miami and Jacksonville = 3 * 107 miles

= 321 miles

Landon estimates the distance between Miami and Jacksonville is about 400 miles

The estimate is too high

He should have estimated 107 miles to 110 miles which gives a total of 330 miles

Estimated 400 miles compared to 330 miles is too high

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Step-by-step explanation:

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2 years ago
Please help I don’t really understand how to go about it.
Airida [17]
\bf \textit{sum of an arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
S_n=795\\
a_1=102\\
a_n=57
\end{cases}
\\\\\\
795=\cfrac{n(102+57)}{2}\implies 1590=159n
\\\\\\
\cfrac{1590}{159}=n\implies 10=n\\\\
-------------------------------

so the nth term is really the 10th term, and we know that's 57, thus

\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=10\\
a_{10}=57\\
a_1=102
\end{cases}
\\\\\\
57=102+(10-1)d\implies 57=102+9d\implies -45=9d
\\\\\\
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