An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes?

2 answers:

8 0

I think that answer is 1375

Explanation:

980 divided by 5= 196

196x5=980 so

196x7= 1375

Since the the unit rate was 196.

Might be wrong though

Studentka2010 [4]3 years ago

6 0

Answer:

1372 inches

Step-by-step explanation:

980 inches divided by 5 to get 1 minute

= 196

196 multiplied by 7 to get 7 minutes

=1372

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Read 2 more answers

Find the sum of the first 100 terms in the series

iVinArrow [24]

Hello,

$\dfrac{1}{n} - \dfrac{1}{n+1} = \dfrac{1}{n(n+1)} \\

 \dfrac{1}{1*2} = \dfrac{1}{1} - \dfrac{1}{2} \\

 \dfrac{1}{2*3} = \dfrac{1}{2} - \dfrac{1}{3} \\

 \dfrac{1}{3*4} = \dfrac{1}{3} - \frac{1}{4} \\

...\\
 \dfrac{1}{n*(n+1)} = \dfrac{1}{n} - \dfrac{1}{n+1} \\



$

Adding member by member, we have

$\dfrac{1}{1*2} + \dfrac{1}{2*3} +\dfrac{1}{3*4} +...\dfrac{1}{n*(n+1)}=\\
 
\dfrac{1}{1} - \dfrac{1}{n+1} \\

= \dfrac{n}{n+1} \\

$

if n=100 sum $\boxed{= \dfrac{100}{101} }$

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