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Kobotan [32]
3 years ago
8

HELP MATH WORD PROBLEM.

Mathematics
1 answer:
katrin [286]3 years ago
3 0
The cost per chair is $2 and the cost per table $6
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David inherited some money from his uncle. He invested half of the money with Bernie
ValentinkaMS [17]
Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder

x - x/2 - x/3 - x/8 = 40,000

LCM: 
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24, 

   x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 *   8/8   = 8x / 24
x/8 *   3/3   = 3x / 24
40,000 * 24/24 = 960,000 / 24

24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000

x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.

960k - 480k - 320k - 120k = 40k
40k = 40k
 
3 0
2 years ago
(3.1 · 10² ) (2 · 10³) Write in Scientific Notation.
Nonamiya [84]
Covert into scientific notation?
8 0
2 years ago
Read 2 more answers
Help me please<br> How many solutions does the equation<br> x -4 = 12 - 2x have? Explain.<br> - ? .
MA_775_DIABLO [31]

Answer: <em>one solution.</em>

Step-by-step explanation:

\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6

<em>This equation has one solution:  x = 6.</em>

8 0
3 years ago
Help help (12 points)
iren2701 [21]

Answer:

2m+2m

Step-by-step explanation:

7 0
2 years ago
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8. Which animal is closest to sea level?<br> Shark -7<br> Sea Lion -10<br> Seagull 24<br> Turtle -6
Cloud [144]
The answer is Turtle.
6 0
2 years ago
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