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(10+x)(13+x) = 208

x = 3

The length will be 16 m

Make b = - 1/2      the result will be degree 10   because the  x^14  terms will cancel out leaving x^10 as the highest degree term

Hi Melody,

or using wolframalpha.

THE SOLUTION IS ... 077998673 , so your answer is right.

 !

Triangle area = 1/2  b * h

   h = (h-5)                   42 = 1/2 * b * ( b-5)

                                      1/2 b^2 - 2.5 b - 42 = 0        b = 12 m

(10+x)(13+x) = 130 + 208

130 + x ^2 + 23x - 338 = 0

x^2 + 23x -208 = 0        x = 6.95              13 + 6.95 =~ 19.95 m    

a) 140

b) 526

Hello Guest,

there are 5 solutions, but one of them have positive real numbers.

\((x,y)=(\frac{1}{2},\frac{\sqrt{3}}{2})\) \(\mbox {wolframalpha}\)

\(\frac{1}{2}*\frac{\sqrt{3}}{2}= \mbox { } \approx {0.433}\) .

Straight

2.5  min / fin   *  fec / (3/4 s)  * 60 s / min   =  200 fec/fin

tan x = opposite / adjacent = 25 / 24

Hello Guest,

type in the calculator. \(xy = \mbox{ }\approx {3.7605}\) .

Straight

Hello Guest,

like NaturalDisaster said \(9\frac{4}{15}\) and this amount equals to \(\frac{139}{15}\) .

Straight

Hi Guest,

   hi asinus,

Maybe he is just meaning that:

\(\sqrt[3]{6x}-12+4=12\)

Then would be the solution:

\(\approx {\frac{4000}{3}} \mbox { (wolframalpha)}\)

Straight

....sooooo one possible value  (that value is 2)

1+1=2

33 minutes - 51.2 seconds =  32 minutes 8.8 seconds

2184 ways to arrange the three Spanish books of which 78 ways would rsult in two spansh books side-by-side

   so  2106 ways to arrange the Spanish books

       then the other 11 slots can hold the other books in 11! = 39916800 ways

2106 * 39916800 = 84 064 780 800 ways             (?)

If m and n are odd integers, how many terms in the expansion of $(m+n)^8$ are odd?

an odd times an odd is odd  so  m^k is odd and n^(8-k) is odd so times them together and they are odd

But all the coefficients except for the 1 at each end are even.  An even time an odd = even

So there are 9 terms in total and 7 of them will be even, the first and the last will be odd

Hello Guest,

x = 1/12

Hello Guest,

 ...

I got a solution, here is it:

\(\sqrt{5x}-5+5=6\)

\(x = \frac{36}{5}=7\frac{1}{5}=7.2\)

Straight

Hello Guest,

D) is correct. Here is why:

\(16\%= 16:100=4:25\)

\(100\%-16\%=84\%\)

\(84\%=84:100=21:25\)

Which represents the ratio of books that have never been checked out to the total number of books in the libary?

Straight

How many feconds are in a finute?

Hello Guest!

\(1Fec\ \widehat{=}\ 34 sec\ |\ /34\\ \dfrac{1}{34}Fec\ \widehat{=}\ 1sec\ |\ \cdot 150\\ \dfrac{150}{34}Fec\ \widehat{=}\ (150sec=2.5min)\\ 1Fin\ \widehat{=}\ 2.5min \)

\(1Fin\ \widehat{=}\ \dfrac{150}{34}\ Fec\)

\(1Fin\ \widehat{=}\ 4\ \dfrac{14}{34}\ Fec\)

  !