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Sometimes (more like most times)  I have NO clue where you get your answers from........but then again, im in sixth so I'll have to learn

21

Im not stupid

Let x be the first number and y be the second number....so we have

x + y = 48

x - y  =   6 

add the equations

2x = 54           

divide by 2 on both sides

x = 27

And  27 - y = 6  →  y = [ 27 - 6 ] = 21

So x = 27 and y = 21

Well 24+24=48  So that is how I'll start.  There is no difference between these.

25+23=48, but the difference is only 2

26+22=48, but the difference is only 4

27+21=48,  and the difference is 8

So, the numbers are 27 and 21 

2000009383927327

I don't understand it 

can you explain it more

Lot's of hairs

Let the population of Vegas = x

And Sacramento had 284,000 more =  x + 284,000

So

x + (x + 284,000) = 2,680,000

2x + 284,000 = 2,680,000      subtract 284,000 rom both sides

2x = 2,396,000    

So x = 1,198,000  and that's the population of Las Vegas

And the population of Scramento is 1,198,000 + 284,000 = 1,482,000

I don't know about the college match-ups, but the Raiders are gawd-awful.......I think the Chiefs could name their score.......

The last digit of 7^x rotates among 1, 7, 9, and 3 because:

7^0  =    1     7^4 = 7^4 x 7^0 = 2401           7^8 = 7^4 x 7^4 x 7^0 = 5764801      ...

7^1  =    7     7^5 = 7^4 x 7^1 = 16707         7^9 = 7^4 x 7^4 x 7^1 = 40353607    ...

7^2  =  49     7^6 = 7^4 x 7^2 = 117649        ...

7^3 = 343     7^7 = 7^4 x 7^3 = 823543        ...

What I'm trying to show is extra factors of 7^4 doesn't change the last digit of the answer.

So divide the exponent by 4,

if the remainder is 0, the last digit will be a 1

if the remainder is 1, the last digit will be a 7

if the remainder is 2, the last digit will be a 9

if the remainder is 3, the last digit will be a 3

Dividing the exponent of 2800 by 4, gives a remainder of 0, so the last digit will be a 1.

8 would be OK, except that the problem speicified a "two digit number." But, technically, you would be correct - (we would just have a  "0" in the "tens" place !!! )

Good spot on that !!!

I can tell you it doesn't equal 2

If you multiply both sides by a positive number, there are no restrictions.

However, if you multiply both sides by a negative number, you must reverse the direction of the inequality.

That is, if you have  -2x > 4, then you answer becomes x < -2.

Nothing hits me right away.....we just have to remember to reverse the inequality sign if we multiply by a negative......

I'll explain how I got it.....

So I focused on the numbers that have their digits as a sum of 8 first

8,17,26,35,44,53,62,71,80

I added 16+8=24

You know CPhill?!?!  8 is also correct!!!!   There is nothing to swap....unless you put a 0 at the beginning, which I never do

17+16=33

71 is the swapped 17

26+16=42

62 is the swapped 26

35+16=51

53 is the swapped 35

44+16=60

44 is the swapped 44

53+16=69

35 is the swapped 53

62+16=78

26 is the swapped 62

71+16=89

17 is the swapped 71

80+16=96

8 is the swapped 80

First time around....I stared at my work and saw well 26*3=78 so that's the only answer

Now I see 8 could be correct too!!!!

You hold your mouse button down on sin untill it changes to asin. asin is the same as sin with a little -1 :)

This problem has no easy factors.

You can either solve by completing the square or by the quadratic formula.

If you want to use the quadratic formula:  a = 1     b = 3     c = -2

x  =  [ -b ± √( b² - 4·a·c ) ] / ( 2·a )

   =  [ -3 ± √( 3² - 4·1·-2 ) ] / ( 2·1 )

   =  [ -3 ± √( 9 + 8 ) ] / ( 2 )

   =  [ -3 ± √17 ] / 2

Stop asking this

You're correct, happy7, but we need to see some math.......nobody will be able to figure out how you got your answer, otherwise.......

Use the calculator on the home page.

I think that's pretty dark expensive for 1 yard.....

We have the cost per square yard - $30.......but we need to know the area before we can determine the total cost.

So I am right???????

The sum of the digits of a two-digit number is 8. If 16 is added to the original number, the result is 3 times the original number with its digits reversed. Find the original number.

Let x be the first digit and y be the second digit.....so we have......

x + y = 8   (1)

And the original numbe can be represented as 10x + y

And we have

10x + y + 16 =  3(10y + x)

And using (1)   we have that y = 8 - x

So we have

10x + (8 - x) + 16 = 3[10(8-x) + x]

9x + 8  + 16 = 3 [[80 - 10x -+ x]

9x + 24 = 3 [ 80 - 9x ]

9x + 24  = 240 - 27 x     subtract 24 from both sides and add 27x to both sides

36x = 216

So....x = 6     and y = [8 - x ] → [8 - 6]  = 2

So the original number is 62

And adding 16 to this = 78

And this is 3 times the original number with the digits reversed, i. e.,   26 * 3  = 78

Okay...thank you!!!!