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fgiga [73]
3 years ago
13

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other

in opposite directions. The Serenity travels at 17 mph and the Mystic travels at 21 mph. How far apart will they be in 2 hours?
Mathematics
1 answer:
Monica [59]3 years ago
7 0
They would be 76 miles apart.

Each boat is travelling for 2 hours. Therefore, we just need to multiply their speed by 2. This will give us the distance they traveled from the start.

2 x 17 = 34

2 x 21 = 42

34 + 42 = 76 miles apart
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If n+h/5=f+9/9, then n/5=
Ann [662]
------------------------------------------------------------------
Question
------------------------------------------------------------------
\boxed { \frac{n+h}{5}  =  \frac{f+9}{9}}

------------------------------------------------------------------
Split the fraction on the left
------------------------------------------------------------------
\boxed { \frac{n}{5} + \frac{h}{5}  = \frac{f + 9}{9}}

------------------------------------------------------------------
Take away h/5 from both sides
------------------------------------------------------------------
\boxed { \frac{n}{5}  = \frac{f+9}{9} - \frac{h}{5}}

------------------------------------------------------------------
Change the denominator to be the same
------------------------------------------------------------------
\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}

------------------------------------------------------------------
Put it into single fraction
------------------------------------------------------------------
\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }

-------------------------------------------------------------------
Rearrange (This step may not be necessary)
------------------------------------------------------------------
\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }


\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}

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