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attashe74 [19]
3 years ago
10

Dave was invited to a birthday party that ended at 7:40. If it lasted 3 hours and 45 minutes what time did the party start?

Mathematics
2 answers:
MrRissso [65]3 years ago
7 0
The party would have started at 3:55.
irinina [24]3 years ago
3 0
The party startef at 3.55
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Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:
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Answer:

Length of AB = Length of C′D′

Length of CD = Length of B′C′

Step-by-step explanation:

Not sure but I think

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2 years ago
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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
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now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
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