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18/3=6/1= 6

  !

good feel the darkside

Could you please explain to me how you got those answers?

Using the quadratic formula, we get: \({-b \pm \sqrt{b^2-4ac} \over 2a}\Leftrightarrow\frac{-\left(-6\right)\pm\sqrt{\left(-6\right)^24\cdot \:1\cdot \:5}}{2\cdot \:1}\Leftrightarrow\frac{6\pm\sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1} \Leftrightarrow\frac{6\pm\sqrt{16}}{2\cdot \:1}\Leftrightarrow\frac{6\pm4}{2}=\boxed{5}, \boxed{1}.\)

Let  b  =  rate of the boat.

Let  r  =  rate of the river.

The rate going downstream is  b + r.

The rate going upstream is  b - r.

rate x time  =  distance

4(b + r)  =  144     --->     b + r  =  36     [divide both sides by 4]

9(b - r)  =  144      --->     b - r  =  16      [divide both sides by 9]

Add town:                          2b  =  52  

Divide by :                           b  =  26  mi/hr

                                            r  =  10  mi/hr

The two angles, x^o and 60^o, form an angle that is a vertical angle to the 100^o angle.

     x^o + 60^o  =  100^o

Therefore,  x^o  =  40^o.

Yes I just did it in my head.

Using the rules of transversals cutting parallel lines it is easy to see that the triangles are similar.

MC is a half of AB

so

OC is a half of OA

1:2

\(\frac{234}{48}=4.875.\) So, \(\boxed{4}\) times.

ahh, Ok I see. Got it, k+m=22. I get how to do it.

Archie is 16 years old. I think

The answer to X is 20

Here is this written in mathematical form:

3 n      -2        =    14  +  5 n      solve for 'n'     the number  

24 numbers     1  -  24

   6 of them are factors of 4     

6   out of 24          means     6/24 chance of picking a multiple of  4        6/24 simplifies to   1/4 chance

Circumference of a circle =  pi * diameter

pi * diameter = 50.24           Now you can find the diameter of the circle......THEN

pi * r^2   = AREA of the circle         r = RADIUS      and this is 1/2 DIAMETER   found above.....

D= 4 + 2A      given

D+A=52   or    52 - A = D      Sub THIS value of D into the first equation , then solve for 'A' (Archie's age)    the Dad = 52 - A

AD = DC = 4 cm

MC = DC/2 = 2

∠ACD = 45°

AC = AD / sin(45°) = 5.656854249

∠BMC = tan^-1(BC/MC) = 63.435°

∠MOC = 180 - 45 - 63.435 = 71.565°

Let F be the foot of altitude from C to MO

CF = sin(∠BMC) * MC = 1.788854382

OC = CF / sin(∠MOC) = 1.885618645

OA = AC - OC = 3.771235604

The ratio of OC to OA = 1.885618645 / 3.771235604 = 0.5  or  1/2  

I believe it means 'worth more'

a choc frog is worth 11 cents more than a green frog.

[1 / 9  +  1 / 18] = 3 / 18  [This means that 3 / 18 of the pool will be filled in 1 hour]

So, to fill the entire pool, we simply take the reciprocal of  3/18, which is of course just 18/3=6 hours.

See the answer here:  https://web2.0calc.com/questions/let-n-and-k-be-positive-integers-such-that-and-what#r1

Answer is actually 12 distinct ways and Billie will only see 6.

VERY similar question/answer here.....if you understand the the method to find the answer, you should be able to figure out this Question  

https://web2.0calc.com/questions/need-help_39736#r2

(a)   P ( a win)   = 1 / C(36, 6)  =  1 / 194772 

From 7 to 8  there are  6 10-minute periods....so,,,,,

At  8PM...there are...1000  + 6(15)   = 1000 + 90  = 1090  home fans

At 8 PM  there  are   700 - 6(5)      =  700  - 30  =  670  away fans

Home  /  Away    =     1090  /  670   =   109  /  67

See here. oscar  :

https://web2.0calc.com/questions/help-please_22397

Let S  = cost to download a  song  and A  = cost to  download an album

We have this system

5S  + 1A =  14.94   ⇒    A  = 14.94   - 5S       (1)

3S  +  2A =  22.95                  (2)

Sub  (1) into (2)   for    A  and we  have  that

3S  + 2 [ 14.94  - 5S   ]=   22.95      simplify

3S  + 29.88 - 10S   = 22.95

-7S + 29.88 =  22.95          subtract  29.88 from  both  sides

-7S = -6.73    divide  both  sides  by  7

S  = .99    = cost to  download a song