reinout-g

We find that the radius is half the diameter. Therefore if the diameter is 3.1 meters the radius must be 1.55 meters.

$$1 \frac{1}{2} = \frac{3}{2}$$

$$\frac{{(\frac{3}{2})}}{2} = \frac{3}{2 \cdot 2} = \frac{3}{4}$$

or

$$1\frac{1}{2} = 1.5$$

$$\frac{1.5}{2} = 0.75$$

double post (to be deleted)

We can solve it in this way

$$\begin{array}{lcl}
9^x 3^4 = 3^{10}\\
(3^2)^x 3^4 = 3^{10}\\
3^{2x} 3^4 = 3^{10}\\
3^{2x+4} = 3^{10}\\
2x+4 = 10\\
2x = 6\\
x = 3\\
\end{array}$$

$$\sqrt{25} = 5 \text{ since } 5 \cdot 5 = 25$$

$$(3\sqrt{3})^2 = 3^2 * \sqrt{3}^2 = 9 * 3 = 27$$

I'm not sure whether wood can chuck, but I hope you wooed chuck into chucking wood

Note that there is no single solution for this question since there are 2 variables and only 1 equation. However we do find that the equation is given by

$$5q - 9 = r$$

or similarly

$$q = \frac{r+9}{5}$$

Reinout

First we solve the equation for y

$$\begin{array}{lcl}
x - y = x + y + 17\\
-y = y + 17\\
-2y = 17\\
y = -\frac{17}{2}
\end{array}$$

We have 2 possible situations for x

either 

$$\begin{array}{lcl}
y = -\frac{17}{2}\\
\end{array}$$

and we find

$$\begin{array}{lcl}
x - y = x + y + 17\\
x + \frac{17}{2} = x - \frac{17}{2} + 17\\
x = x - 17 + 17\\
x = x
\end{array}$$

Which means x can be any number,

or

$$\begin{array}{lcl}
y \neq -\frac{17}{2}\\
\end{array}$$

and we find no value for x for which the equation holds.

Reinout

Here's how I solved it

$$\begin{array}{lcl}
e = 2\frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2}\\
f = 3\frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}\\
4e-2f = 4*\frac{5}{2} - 2*\frac{10}{3}\\
= \frac{20}{2} - \frac{20}{3}\\
= \frac{20}{2} * 1 - \frac{20}{3} * 1\\
= \frac{20}{2} * \frac{3}{3} - \frac{20}{3} * \frac{2}{2}\\
= \frac{60}{6} - \frac{40}{6}\\
= \frac{60-40}{6}\\
= \frac{20}{6}\\
= \frac{10}{3}\\
= 3 \frac{1}{3}
\end{array}$$

Reinout