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Lyrx [107]
2 years ago
5

Which is bigger 0.96 0r 19/20

Mathematics
1 answer:
REY [17]2 years ago
7 0
0.96 or 19/20

0.96 as fraction = 96/100 = 19.2 / 20      5 into 96 is 19.2 and 5 into 100 is 20

So 0.96 is the same as 19.2/20

Since 19.2 / 20  and 19 / 20 have the same denominator,  therefore the 19.2 / 20 is bigger than 19 / 20.

So the 0.96 is bigger than the 19 / 20.
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Two pools are being drained. To start, the first pool had 3700 liters of water and the second pool had 4228 liters of water. Wat
cestrela7 [59]

Answer:

Pool 1 will be drained out just over a minute before pool 2.

Step-by-step explanation:

Pool 1

3700/31 = 119.35minutes

Pool 2

4228/42 = 100.67minutes

Pool 1 will be drained out just over a minute before pool 2

3 0
2 years ago
The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they
Korvikt [17]

Answer:

Sort a list of the students into a random order, then ask the first 353535 students on the list.

Step-by-step explanation:

4 0
2 years ago
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Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum
anygoal [31]

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars                1st year     2nd-year     3rd-year     4th year

Preferred dividend

paid a                         $34,000   $38,000    $36,000    $36,000

Number of preferred

stock b                       60,000     60,000       60,000       60,000

Dividend per share

(a ÷ b)                         $0.57       $0.63          $0.60             $0.60

Dividend paid to common

stockholders c               $0             $38,000    $44,000     $64,000

Number of common stock

shares d                       410,000     410,000     410,000     410,000

Dividend per share

on common stock        $0             $0.093        $0.11          $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars                      1 year        2 year       3 year       4 year

Total dividend paid       $34,000  $76,000   $80,000     $100,000

Less:

Preferred stock

dividend                      $34,000      $38,000  $36,000     $36,000

Dividend paid to common

stockholders                 $0             $38,000    $44,000     $64,000

8 0
2 years ago
The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The rati
Ahat [919]

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

7 0
2 years ago
Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%
ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]

S4 = 2 × 20900

S4 = 41800 vehicles

6 0
2 years ago
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