MaxWong

22 , 44, 66, 88, 110. :)

2x + xy = xz + 3

2x + xy - xz = 3

x (2 + y - z) = 3

x = 3/(2 + y - z) 

Same answer as Guest #1

1/x + 1/2 = y

1/x = y - 1/2 = (2y-1)/2

x = 2/(2y - 1)

Guest #1 did not simplify that fraction.......

\(2|270\\ 5|135\\ 3|27\\ 3|9\\ 3|3\\ \;\;\;1\)

That is a short division hope you understand :)

Therefore 270 = \(2\times3^3\times 5\)

Visual representation:

\(\dfrac{86}{\not{\!\!97}}\times \not{\!\!97}\\ =86\)

1)

\(7=-\dfrac{3}{4x}\\ 28x = -3\\ x = -\dfrac{3}{28}\)

2)

\(50 = -2 + 13q\\ 13q = 52\\ q = 4\)

3)

\(5-\dfrac{9}{2d}=32\\ \dfrac{9}{2d}=5-32\\ \;\;\quad\!=-27\\ 2d = -\dfrac{9}{27}\\ \;\;\;\;\!\;\!=-\dfrac{1}{3}\\ d = -\dfrac{1}{6}\)

4)\(\dfrac{7a+1}{2}=18\\ 7a + 1 = 36\\ 7a = 35\\ a = 5\)

3b + 4 = 24

3b = 20

b = 20/3 OR b = 6 2/3 it's equivalent.

5y + 4 - 2y = 9

3y + 4 = 9

3y = 5

y = 5/3 OR y = 1 2/3 it's equivalent.

Hi Anon,

\(\pi \times \text{the reciprocal of }\dfrac{2}{3} + 9.089\\ =\dfrac{3\pi}{2}+\dfrac{9089}{1000}\\ =\dfrac{1500\pi + 9089}{1000}\)

2 - 8/(-2) -2 - (-12)/(-6) x (-2)

= 2 - (-4) - 2 - 2 x (-2)

= 2 + 4 - 2 - (-4)

= 2 + 4 - 2 + 4

= 6 - 2 + 4

= 4 + 4 

= 8.

\(\left(-16-(-2+1)\right)\times\dfrac{2}{5}\\ =\dfrac{2(-16-(-1))}{5}\\ =\dfrac{2(-15)}{5}\\ =\dfrac{-30}{5}\\ =-6\)

\((\dfrac{b^{-2}}{b^{-3}})^2\\ =(\dfrac{b^3}{b^2})^2\\ =\dfrac{b^6}{b^4}\\ =b^2\)