3 years ago

A football field is 100 yards long. How many feet is this?

Mathematics

2 answers:

mel-nik [20]3 years ago

6 0

Answer:

300 feet

*There are 3 feet in a yard*

BabaBlast [244]3 years ago

4 0

Answer: 300 feet are in 100 yards.

Step-by-step explanation:

multiply the length value by 3

100x3=300

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What is the sum of the first 5 terms of geometric series with a1=10 and r=1/5

steposvetlana [31]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=10\\
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r=\frac{1}{5}
\end{cases}$

$\bf S_5=10\left( \cfrac{1-\left( \frac{1}{5} \right)^5}{1-\frac{1}{5}} \right)\implies S_5=10\left( \cfrac{1-\frac{1}{3125}}{\frac{4}{5}} \right)
\\\\\\
S_5=10\left( \cfrac{\frac{3124}{3125}}{\frac{4}{5}} \right)\implies S_5=10\cdot \cfrac{781}{625}\implies S_5=\cfrac{1562}{125}$

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LiRa [457]

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Step-by-step explanation:

The one point where the lines intersect is one solution. If both points are on the same line it is one solution. If the lines do not intersect it is no solution.