Mathematician

You subtract 103 - 100 = 3 to get the change. Then you put $${\frac{{\mathtt{3}}}{{\mathtt{100}}}}$$ as a fraction. Then you convert that to a decimal, and it would be  0.03. Multiplying that by 100, we get 3%. Of course we could have already figured that out because 3/100 already has a denominater of 100 and was inherently 3.

Could you be more specific with the values? I can't describe the graph unless I have two coordinate points.

10 to the eighth power is just 10 times itself 8 times. It expressed as $${{\mathtt{10}}}^{{\mathtt{8}}}$$, but it is just $${\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}$$.

$${\frac{{\frac{{\mathtt{19}}}{{\mathtt{50}}}}}{{\mathtt{4\,200}}}} = {\mathtt{0.000\: \!090\: \!476\: \!190\: \!476\: \!2}}$$ The problem is just one big fraction that a calculator would be most useful in solving for.

To add fractions, we have to convert them to a common denominator. Since $${\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{2}} = {\mathtt{12}}$$, we can convert 5/6 to a denominator of 12 by multiplying it by 2/2: $${\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{2}}\right)}{\left({\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{2}}\right)}}$$ = $${\frac{{\mathtt{10}}}{{\mathtt{12}}}}$$. Then we add $${\frac{{\mathtt{5}}}{{\mathtt{12}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{10}}}{{\mathtt{12}}}}$$ = $${\frac{{\mathtt{15}}}{{\mathtt{12}}}}$$, which simplifies down to $${\frac{{\mathtt{5}}}{{\mathtt{4}}}}$$, and then can be converted to the fraction $${\mathtt{1}}$$$${\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$ or 1.25.

$0.75 is our constant, and $0.50 is our rate of change.

Using slope-intercept form (y = mx + b), we now have y = .5x + .75.

Since we know that you rode the big slide 8 times, x becomes 8: y = .5(8) + .75

Then you multiply .5 * 8 and add .75 to the product.

F(x) is just function of x. So when we replace f(x) with f(3), we just replace the x in -5/4x + 4 with 3, which will be -5/4(3) + 4. Then we multiply -5/4 by 3(/1) and add 4 to that product to get the answer.

First we have to find out how much the car's price increased by. So we subtract the original value from the increased value: 25,920 - 18,000 = 7,920. Next we divide 7,920 by 2, since it's a two year period and the question is asking for one year: 7,920 ÷ 2 = 3,960. Now that we know how much it increased (3,960), we put that in a fraction over our original value (18,000) to find out the actual rate of increase:

$${\frac{{\mathtt{3\,960}}}{{\mathtt{18\,000}}}} = {\frac{{\mathtt{11}}}{{\mathtt{50}}}} = {\mathtt{0.22}}$$   Multiplying 0.22 by one hundred, we get 22%.

30 is the total number of students and 16 is the total number of boys. So 16 of the 30 students are boys.

$${\frac{{\mathtt{16}}}{{\mathtt{30}}}}$$ is the fraction, and now we just have to simplify it: 16/30 ÷ 2/2 = 8/15.