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ExtremeBDS [4]
3 years ago
11

If the fraction 414/x-10 is equivalent to -23 ​, find the value of x. Show your work. Use reasoning to find x.

Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

x = -8

Step-by-step explanation:

Solve for x by getting rid of the fraction.

414/(x-10) = -23

414 = -23(x-10)

414 = -23x + 230

184 = -23x

-8 = x

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A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
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3 years ago
The price of a DVD movie was reduced from $20 to $18. By what percentage was the price of the DVD movie reduced? *
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Answer:

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