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avanturin [10]
4 years ago
15

If 2/3x = 18 then x=

Mathematics
2 answers:
vampirchik [111]4 years ago
6 0

Answer:

The answer is 27

Step-by-step explanation:

iVinArrow [24]4 years ago
4 0

Answer:

x = 27

Step-by-step explanation:

2/3 x = 18

3( 2/3 x) = 3(18)

2x = 18 * 3

2x = 54

(1/2)(2x) = (1/2)(54)

x = 27

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Write an expression that represents the perimeter of the triangle.
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Answer:

(3m - 2) + (2m + 7) + (5m - 3)

Step-by-step explanation:

Perimeter is found by combining all side measurements together to find the total measurement. In this case, combine the sides:

(3m - 2) + (2m + 7) + (5m - 3) is your answer.

If you need a simplified expression, simply combine all the like terms together. Like terms are terms with the same as well as same amount of variables:

(3m + 2m + 5m) + (7 - 2 - 3)

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10m + 2 is your answer.

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3 years ago
Which expression is equivalent to 2cos2(x/2)-cos(x)
Pavel [41]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto
Ann [662]

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

\frac{6000000 * 2}{100} = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

= \frac{70000}{40000 shares} = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100}= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

\frac{170000}{40000\ shares}= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

\frac{30000}{100000\ shares} = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100} = $120000

total dividend on cumulative preferred stock $120000

dividend per share

\frac{120000}{40000 shares} = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

\frac{200000}{100000\ shares}= $2 per share

3 0
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34kurt

Answer:

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Step-by-step explanation:

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