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algol13
3 years ago
6

The difference of the square of a number and 28 is equal to 3 times that number

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

- 4, 7

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

{x}^{2}  - 28 = 3x \\  {x}^{2}  - 3x - 28 = 0 \\  {x}^{2}  - 7x + 4x - 28 = 0 \\ x(x - 7) + 4(x - 7) = 0 \\ (x - 7)(x + 4) = 0 \\ x - 7 = 0 \: or \: x + 4 = 0 \\ x = 7 \: or \: x =  - 4 \\

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Divide, need help again ppl, thanks!​
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Answer:

<h2>√2,2√4</h2>

Step-by-step explanation:

<h2>√2,√8</h2><h2>√2,√4×2</h2><h2>√2,√2×2×2</h2><h2>√2,√2×2 2</h2><h2>√2,2√4 answer</h2>
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Three million and nine thounsandths
nika2105 [10]
One million = 1,000,000

So Three million is 3,000,000

One thousandths is 0.001

So nine thousandths is 0.009

So three million and nine thousandths is 3,000,000.009
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3 years ago
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How much chocolate will each person get if 3 people share 1/2 pound of chocolate equally?
eimsori [14]
1/6 pound of chocolate for each person ( 1/2 / 3 ).
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3 years ago
Evaluate help please!
UNO [17]
<h2><u>ABSOLUTE VALUE</u></h2>

The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.

<h3>Exercise</h3>

Replace the value of x:

| x - 8 |

| -4 - 8 |

| -12 | = \large{\boxed{12}}

The absolute value of a number is the numerical value of the number, without regard to its sign.

<h3><u>Answer.</u> 12</h3>
3 0
2 years ago
Mr. Smith traveled to a city 300 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 6
Kryger [21]

Answer: The speed at which he traveled to the city is 69.8 mph

Step-by-step explanation:

Let x represent the speed at which he traveled to the city.

Mr. Smith traveled to a city 300 miles from his home to attend a meeting.

Time = distance/speed

Time taken to travel to the city is

300/x

Due to car trouble, his average speed on returning was 6 mph less than his speed going. This means that the speed at which he returned is (x - 6) mph. Time taken to return from the city is

300/(x - 6)

If the total time for the round trip was 9 hours, it means that

300/x + 300/(x - 6) = 9

Cross multiplying by x(x - 6), it becomes

300(x - 6) + 300x = 9x(x - 6)

300x - 1800 + 300x = 9x² - 54x

9x² - 54x - 300x - 300x - 1800 = 0

9x² - 654x -1800 = 0

Applying the general quadratic equation,

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 9

b = - 654

c = 1800

Therefore,

x = [- - 654 ± √(- 654² - 4 × 9 × 1800)]/2 × 9

x = [654 ± √(427716 - 64800)]/18

x = [654 ± √362916.4]/18

x = (654 + 602.4)/2 or x = (654 - 602.4)/18

x = 1256.4/18 or x = 51.6/18

x = 69.8mph or x = 2.9 mph

The speed at which he traveled to the city is 69.8 mph

By checking,

Time spent travelling to the city = 300/69.8 = 4.3 hours

Time spent returning =

300/(69.8 - 6) = 4.7 hours

4.3 + 4.7 = 9 hours

3 0
3 years ago
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