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Artemon [7]
3 years ago
13

Solve the equality, pls help with this

Mathematics
1 answer:
labwork [276]3 years ago
4 0

Answer:

g ≥ -4

Step-by-step explanation:

3 ≤ 7 + g

3 - 7 ≤ 7 - 7 + g

-4 ≤ g

g ≥ -4

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Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train
ratelena [41]
Recall your d  = rt, distance = rate * time

so, keeping in mind that both trains are going at the same speed, say speed of "r" mph, after 212 hours A arrived at station A and after 4 hours, B arrived at station B.

now, the distance covered by train A is say "d", we know both stations are 585 miles apart, so, if train A covered "d" miles in those 212 hours, then train B covered the slack from 585 and d, that is "585 - d".

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Train A}&d&r&212\\
\textit{Train B}&585 - d&r&4
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=212r\\
585-d=4r\\
----------\\
585-\boxed{212r}=4r
\end{cases}
\\\\\\
585=216r\implies \cfrac{585}{216}=r\implies \cfrac{65}{24}=r\implies \stackrel{mph}{2\frac{17}{24}}=r
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2 years ago
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