Awesomeguy

The minutes hand would be on the 6, and the hours hand would be halfway between 2 and 3, because 30 is half of 60.

A circle is 360 degrees, so each gap between the numbers is 30 degrees each.

$30 \cdot 3.5 = 105$, so the answer is 105 degrees

Putting the equations into slope-intercept form,

$y = -\frac{Ax}{B} + \frac{3}{B}$

$y = -\frac{x}{3} - \frac{5}{3}$

Both lines are parallel, so $-\frac{x}{3} = -\frac{Ax}{B}$. Simplify to find that $\frac{A}{B} = \frac{1}{3}$, meaning that the slope is $-\frac{1}{3}$.

$y = -\frac{x}{3} + \frac{3}{B}$

Plug in (-7, 2).

$2 = -\frac{-7}{3} + \frac{3}{B}$

$6B = 7B + 9$

$B = -9$

Because A and B are in ratio $\frac{A}{B} = \frac{1}{3}$, B = -9 and A = -3. So B - A = -9 - (-3) = -6

Rewrite it with simplified radicals,

$5\sqrt{2} + 3\sqrt{2}$

They both have a radical of 2, so we can combine them to get $8\sqrt{2}$

To find the bases, we can plug in our known values with x being the smaller base,

$\frac{2x+9}{2}\cdot 8 = 60$

$\frac{2x+9}{2}=7.5$

$2x+9 = 15$

$x = 3$

The smaller base is 3, and the larger is 12. The median of a trapezoid is just the average of the bases. So (3+12)/2 = 7.5 which is our answer.

oh shoot lol

We can find a pattern in the exponents. Because we are only looking for units, let's find a pattern in 3s.

3^1, 3^2, 3^3, 3^4, 3^5

3, 9, 7, 1, 3

So every 4th multiple will have a units digit of 1. 120 is divisible by 4, meaning 123^120 has a units digit of 1, so 123^123 will have a units digit of 7.

Think of the perfect squares around 300. 17^2 = 289, 18^2 = 324. $\sqrt{324} = 18$ as we know, so 18 is the least integer greater than $\sqrt{300}$

This means y = 100

$-6t^2+51 = 100$

$-6t^2+51 =100 = 0$

Apply quadratic formula to get the positive solution of $\frac{17}{4}+\frac{\sqrt{201}}{12}$

Plugging in the values,

$\sqrt{7} \cdot \sqrt{13} \cdot \sqrt{91} \cdot \sqrt{97}$

$\sqrt{91} \cdot \sqrt{91} \cdot \sqrt{97}$

So we get $91\sqrt{97}$ as the answer

Let's put this into equations,

$m + 4t = 13$

$m + 7t = 19$

Subtracting the equations we get,

$3t = 6$

$t = 2$

Now we know the cost of a towel, we can plug it back into one of the equations.

$m + 8 = 13$

$m = 5$

So a mug costs 5 dollars.