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Veseljchak [2.6K]
3 years ago
5

Rectangle JKLM is shown.

Mathematics
1 answer:
ad-work [718]3 years ago
6 0

Answer:

B

Step-by-step explanation:

We can use the Pythagorean theorem to solve this.

(13)^2 = (8)^2+x^2

169 = 64 + x^2

x^2 = 105

x is approximately 10.2, so B

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2x=12
x=6

sub back into original equation 8 x 6 + 9 =57 chairs 
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I don't know really ask someone smarter than me
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3 years ago
How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

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}
3 0
3 years ago
YOU can answer with A. B. C. or D.​
klemol [59]

Answer: 0.0066248

Step-by-step explanation:

7.28⋅10−2)⋅(9.1⋅10−2)

7.28⋅9.1⋅10−4

66.248⋅10-4

0.0066248

is this wht the question say? If so I hope I help

3 0
3 years ago
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It costs $859.32 to have a school dance (tickets $8)
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A) 859.32/8= 107.415=108 tickets

B) 980.68/8= 122.585=123 tickets
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3 years ago
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