MaxWong

The image cannot be shown on the forum for some reasons :/

Maybe you should type it in plain text?

$\dfrac{2}{3}\div 2\\ =\dfrac{2}{3}\times \dfrac{1}{2}\boxed{\color{green}\text{Note: Dividing a number means}\\\color{green}\text{ multiplying its reciprocal}}\\ =\dfrac{2\times 1}{3\times 2}\\ =\dfrac{2}{6}\\ =\dfrac{1}{3}\text{<-- Final answer. :D}$

8b²+11b-17
= $-\dfrac{1}{32}(-16b + \sqrt{665}-11)(16b+\sqrt{665}+11)$

That's what W/A says....

$x^2 + x - 272 =(x+17)(x-16)$

Let x deg be the measure of the original angle

Measure of the supplementary angle = (180 - x) deg

Measure of the completmentary angle = (90 - x) deg

$(180 - x)^{\circ}=2(180^{\circ}-(90^{\circ}-x^{\circ}))-36^{\circ}\\ 180^{\circ}-x^{\circ}=180^{\circ}+2x^{\circ}-36^{\circ}\\ 3x^{\circ}=36^{\circ}\\ x^{\circ}=12^{\circ}\\ (180-x)^{\circ} = (180 - 12)^{\circ}=168^{\circ}$

The supplement is 166 deg. :D

$\begin{array}{rlllll}&1&0&9&4&6\\+&1&6&4&7&6\\-&-&-&-&-&-\\&2&4&7&2&2\\=&=&=&=&=&=\end{array}$

tan x = 4/5

x = arctan(4/5) which is approximately 38.7 deg or 0.675 rad.

I assume that you meant -6 + f = 2f - 8

$-6+f = 2f-8\\ f-6=2f-8\\ f+2=2f\\ 2 =f\\ f=2$

5 pages = 7 minutes

5 x 6 pages = 7 x 6 minutes

30 pages = 42 minutes :D

Wow that's way too much. But I will do it because it is math and math is awesome :D

1) √27 * √50 ∕ √54 = 3√3 * 5√2 / 3√6 = 5

2) Hey are you kidding me the solution is fractional.

3) √-4 is imaginary

4) Weight required = $640\times \dfrac{4}{4+3+3}=\mathbf{256kg}$

5) 4x²+20x+3xy+15y = 4x(x + 5) + 3y(x + 5) = (4x + 3y)(x + 5)

6) 

$L = \dfrac{xh}{a(x+p)}\\ Lx + Lp = x\cdot(\dfrac{h}{a})\\ x(L-\dfrac{h}{a})=-Lp\\ x = \dfrac{-Lp}{L-\frac{h}{a}}=\mathbf{\dfrac{Lp}{h - aL}}$

7) $4:5 = \dfrac{4}{5}=0.8$

8) 

$7\dfrac{3}{5}\times \dfrac{17}{19}\div\dfrac{15}{25}\\ =\dfrac{38}{5}\times \dfrac{17}{19}\times \dfrac{5}{3}\\ =\dfrac{34}{3}\\ =\mathbf{11\dfrac{1}{3}}$

9) 5hrs/1 week and 2 days = 5hrs/9 days = 5hrs/216hrs = 5 : 216.

10) 3 1/2 - 2 7/12 = 3 6/12 - 2 7/12 = 11/12.

11) Negative square. <--- That's the definition.

12) LCM(14a²b²,7ab, 28ab²) = 28a²b².

13) 

 $1\dfrac{1}{3}+\dfrac{2}{4}\times \dfrac{12}{16}-\dfrac{5}{6}\\ =\dfrac{4}{3}+\dfrac{1}{2}\times \dfrac{3}{4}-\dfrac{5}{6}\\ =\dfrac{4}{3}+\dfrac{3}{8}-\dfrac{5}{6}\\ =\dfrac{32}{24}+\dfrac{9}{24}-\dfrac{20}{24}\\ =\mathbf{\dfrac{7}{8}}$

14)

 $\log_512.5-\log_52\\ =\log_5\dfrac{12.5}{2}\\ =\log_56.25\\ =\log_5\dfrac{25}{4}\\ =\log_525-\log_54\\ =\mathbf{2 - 2\log_52}$

15) Working efficiency of each man = 245 hours per house per person.

Working efficiency of 12 men =245/12 hours per house = 20 hours 25 min. No answer like that....

16) required fraction = 1 - 1/5 - 2/5 = 2/5.

17) Selling price = 850 / (1 + 15%) * (1 + 20%) = 850 * 1.2 / 1.15 = 887 approximately.

18) 3/2

19) $1\dfrac{6}{9}\times \dfrac{2}{3}-3\dfrac{1}{5}+2\dfrac{1}{2}\div\dfrac{1}{2}\\ =\dfrac{5}{3}\times \dfrac{2}{3}-\dfrac{16}{5}+5\\ =\dfrac{10}{9}-\dfrac{16}{5}+5\\ =\dfrac{50}{45}-\dfrac{144}{45}+\dfrac{225}{45}\\ =\dfrac{131}{45}$

which is 2 41/45.

20) 16x⁵y⁴ * 48xy∕ 32xy* 24x³y² = 576x⁸y⁶.