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This should help:

Keq = [H₂O]²/([H₂]²*[O₂])

The area of the pool  = 24 * 16 = 384 sq ft

So the total area = twice this = 768 sq ft

Call the patio width, x

So.....the whole area can be represented by

[24 + 2x] * [ 16 + 2x]  = 768     simplify

384 + 80x + 4x^2  = 768        divide through by 4

96 + 20x + x^2  = 192       subtract 192 from both sides and rearrange

x^2 + 20x - 96   = 0        factor

[x + 24] * [ x - 4]   =  0       set each factor to 0 .....   and we have that

x = -24  or x  = 4       reject the negative answer

So.....the patio width = 4 ft

Let the smaller angle = x

And the larger = 11x

So.....

x + 11x   = 180    simplify

12x  = 180         divide both sides by 12

x = 15°    this is the smaller angle

And the larger angle  =  11 (15°)    = 165°

5a + 1 = 5a + 1 .......

This cannot be simplified further

Let the price of mangoes be x and the price of apples be y

4x+5y = 4.70 ---- (1)

x+2y=1.40 ---- (2)

1- 2*(2): 2x + y =1.90 ---- (3)

2*(3) - (2) : 3x = 2.40

x = 0.80 ---- (4)

Subst. (4) into (2),

0.80 + 2y =1.40

2y = 0.60

y = 0.30

x + y = 1.10

The cost of 1 mango and 1 apple is $1.10

Hello Guest!

what is 16^x=32^x-1

16^x = 32^x - 1

2^4x = 2^5x - 1

2^5x - 2^4x = 1

With "MatheGraphix" :

               x ∈ {  0,4057 }

(2^5x - 2^4x) ∈ {  1,0000827 }

x ≈ 0.4057

Greeting asinus :- )

 !

(6+8)/2=

(14)/2=

14/2 =

7

whats -1 3/5 divided by -2/3

-8/5 / -2/3 =

-8/5 x -3/2=

24/10=2 4/10=2 2/5

solve x+2 y = 4,   2 x-3 y = -13,    x-4 y = -14   for x, y

x = -2 and y = 3

i have 2 eggs and 1 pack with eggs cost 27sek and in one pack there's 12 eggs

So, what is the question? The cost per egg?

If you have 2 eggs + a pack of 12 eggs=14 eggs

27 / 14=1 13/14 sek-cost per egg??

30.71 multiplied by what% equals 31.53

31.53 / 30.71=1.0267 x 100 =102.67%

41.

6+8=14

14/2=7

Ans7 

\(n = {log}_{1.005} \,50 = 784.3589866409396 \\ ≈ 784.36 (2dp)\) 

Hallo Guest!

Sin 55degrees= 10/h

sin 55° = 10 / h                 [ * h    / sin 55°

h = 10 / sin 55°

h = 10 / 0.819152

h = 12.2077458876

asinus :- )

 !

a)

x lesser than 6 = x more than 2

    (6 - x) = (2 + x)                          | - x

b)  Method 1

     (6 - 2x) = 2                                | + 2x

     6 = 2 + 2x                                 | - 2

     2x=4

     x = 2

     Method 2

     \(\tt \, Area\,of\,Desk\,1\rightarrow (x)(2+x) \\ \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;= (2x+x^2) \,ft^2 \\ Area\,of\,Desk\,2 \rightarrow (x)(6-x) \\ \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;= (6x-x^2)\,ft^2\\ This\,should\,be\,true:(2x+x^2)=(6x-x^2)\quad|\,-(6x-x^2)\\2x^2-4x=0\\ Two\,possible\,results\,of\,x.x = 0\,and\,x=2.\\ As\,an\,area\,of\,0\,doesn't\,make\,sense,\,then\,x=2.\)

c) \(x=2,\\ 2(2x+x^2) = 2(2 \times 2 + 2^2) \\ = 2(4+4) \\ = 2(8) \\ = 16\)

Nope.

Enemies(-) of your enemies(-) are your friends(+).

-2(-a+4)=18

\(-2(-a+4)=18 \\ \\ -a + 4 = -9\\ \\ -a = -13\\ \\ a=13\) 

2a-8=18

2a=10

a=5

Solve for x:
1/x^2 = x

Multiply both sides by x^2:
1 = x^3

1 = x^3 is equivalent to x^3 = 1:
x^3 = 1

Taking cube roots gives 1 times the third roots of unity:
Answer: |  x = 1      or      x = -(-1)^(1/3)       or        x = (-1)^(2/3)

2+2^2=6

Ratios are another way of saying a fraction. If you are given a ratio of 4:5 then that equates to 4/5.

Pi has theoretically an infinte amount of digits, I only know... π ≈ 3.1415

5/6  /  2/6   =  5/6  x  6/2 = 30/12  = 5/2  = 2 1/2