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olya-2409 [2.1K]
1 year ago
11

Mat played tennis 35 times in 7 weeks. sue played tennis 15 times in 21 days. are their rates equivalent?

Mathematics
1 answer:
morpeh [17]1 year ago
5 0
Yes they are because you convert 7 weeks to days. Then you divide 49 by 21 because you have to see if they go in with each other and do the same thing with 35 and 15.

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two trains leave the station at the same time one heading west and the other East the westbound train travels at 55 miles per ho
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Recall your d = rt, distance = rate * time

so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.

now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Westbound&d&55&t\\
Eastbound&338-d&75&t
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=55t\\
338-d=75t\\
----------\\
338-\boxed{55t}=75t
\end{cases}
\\\\\\
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