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how              x+4   (16)

x+4=20 = x=16 

16-4 = 12

2x - 3y  = -3.2 - 0.2x  + 0.1y

x = 0.6x - y + 8.8

Multiply both equations through by 10 to get rid of the decimals

20x - 30y  = -32 - 2x + y

10x = 6x - 10y + 88

Rearrange the equations as

22x - 31y  =  -32

4x  + 10y  =  88

Multiply the first equation by -4    and the second by 22

-88x + 124y  = 128

88x  + 220y  = 1936      add these equations

344y  =  2064      divide both sides by 344

y  = 6  

And using 4x + 10y  = 88   we can find x as

4x + 10 (6)  = 88

4x + 60  = 88     subtract 60 from both sides

4x  =  28            divide both sides by 4

x = 7

So  (x, y)  =  ( 7, 6)

CPhill I think it's ethier the length or the width of the rectangle. ;-D

Thank Chris

OK, young person, here is a solution to your problem courtesy of Wolfram/Alpha:
expand | (x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9) (1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9)^4:

x^45 + 5 x^44 + 15 x^43 + 35 x^42 + 70 x^41 + 126 x^40 + 210 x^39 + 330 x^38 + 495 x^37 + 714 x^36 + 992 x^35 + 1330 x^34 + 1725 x^33 + 2170 x^32 + 2654 x^31 + 3162 x^30 + 3675 x^29 + 4170 x^28 + 4620 x^27 + 4998 x^26 + 5283 x^25 + 5460 x^24 + 5520 x^23 + 5460 x^22 + 5283 x^21 + 4998 x^20 + 4620 x^19 + 4170 x^18 + 3675 x^17 + 3162 x^16 + 2654 x^15 + 2170 x^14 + 1725 x^13 + 1330 x^12 + 992 x^11 + 714 x^10 + 495 x^9 + 330 x^8 + 210 x^7 + 126 x^6 + 70 x^5 + 35 x^4 + 15 x^3 + 5 x^2 + x.

So, the answer is the coefficient x^13, which is 1725 minus 757, which is number that sums up to 13 for all ODD numbers.
Therefore, the total number of all EVEN 5-digit numbers that sum up to 13 is =1,725 - 757 =968 such numbers.

Happy B-Day   !!!!

x(x+5) = -n if and only if x+5 is -1. then x must be -6. The probability must be zero. :) :) :)

......the number  of  WHAT  ???

Thanks a LOT!!!! 

2x^2 - 3x  + 27

Call the roots  a , b

The sum of these roots  =   - (-3/2)  = 3/2

The product of these roots  = 27/2

So

a +  b = 3/2    (1)

ab  = 27/2   (2)

Square both sides of (1)

a^2 + 2ab + b^2  =  9/4

a^2 + b^2  =  9/4 - 2ab         sub in (2)

a^2 + b^2  = 9/4 - 2 (27/2)

a^2 + b^2  = 9/4 - 27

a^2 + b^2  = 9/4 - 108/4

a^2 + b^2  =  - 99/4  =   -24.75

What I would do is use the quadratic formula.

Then add the squares of the roots. You would get a real number.

Okay I get it thanks guys have a awesome day!

😀😀

Nicely explained, EP.....

Thanks Cphill and Travisio I am just looking over just to make sure I am following what you’re saying 

The mistake is from step 4 to step 5

Note

-11.8 + 9.8  =

-2

Thanks so instead of Having the two you put in red that you said were wrong have the one you said was correct instead of the two were wrong 

so basically what I am saying is put the red one that you said was the correct answer in the spot were you said the two in red were the problem.

StepWorkReasoning

(−4.5 + 4.2 + 5.6 − 7.3  Original problem)

(1−4.5 + 4.2 + 5.6 + (−7.3)  Additive inverse)

(2−4.5 + (−7.3) + 4.2 + 5.6  Commutative property)

(3(−4.5 + (−7.3)) + (4.2 + 5.6)  Associative property)

(4−11.8 + 9.8  Simplify)

(5−21.6  Simplify)

heres what i done

−4.5 + 4.2 + 5.6 − 7.3 

−4.5 + 4.2 + 5.6 + (−7.3)

−4.5 + (−7.3) + 4.2 + 5.6 

(−4.5 + (−7.3)) + (4.2 + 5.6) 

-11.8+9.8 = -2

The red is incorrect up top and corrected below

Travisio

sorry that was meant down here i stayed up all night and fell asleep on my computer sorry

no but i'm being homeschooled and i was behind at th end of the school year so i choose to carry it out but i passed Yayy

no but i'm being homeschooled and i was behind at th end of the school year so i choose to carry it out but i passed Yayy

no thats pure saddness here have some cake for the missed b-day three exactly🎂🎂🎂

okay sorry to hear that i was studing cardiology and seen than so i was just wondering

The gcd has at most 3 digits. 

That’s to bad 

Just curious, isn't it the middle of summer? Shouldn't you be in summer break?

Does your school do vacations differently or something.

Oof I turned 13 six months ago and I got nothing for my birthday. There was a math contest on my birthday and I didn't even know it was my birthday until my teacher told me lol.

I hope when I turn 14 I will get something. My parents owe me three years of birthdays XD