Mathematician

3 + 1 can be turned into:

(1 + 1 + 1) + 1

Using distributive property, we get:

1 + 1 + 1 + 1

Then we count how many 1's we have:

1 + 1 + 1 + 1

1.   2.   3.   4.

We have 4 1's, so the answer is 4.

Of course, this is simple addition, and you probably already have this memorized.

100,000,000 nanoliters = 1 decaliter

So all we have to do is divide 350 billion nanoliters by 100 million to get our answer:

350,000,000,000 ÷ 100,000,000 = 3,500

Just use the site calculator.

Or look below.

$${\mathtt{10}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{99}}{\mathtt{\,\times\,}}{\mathtt{123\,123\,143}}{\mathtt{\,\times\,}}{\mathtt{123\,154\,346\,457\,568\,578}}{\mathtt{\,\times\,}}{\mathtt{123\,434\,654\,675\,678}}{\mathtt{\,\times\,}}{\mathtt{34\,254\,534}} = {\mathtt{6\,347\,165\,199\,165\,034\,771\,606\,389\,461\,286\,355\,523\,177\,410\,471\,792}}$$

I think I have is a simpler method, Tenacious, although I like your use of FOIL. I start with order of operations. I remember the order using PEMDAS (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction.)

Let's begin evaluating your problem:

(32 + 13) * (36 - 5)

First we do evrything in the parenthesis: 32 + 13 = 45 and 36 - 5 = 31. So now we have:

(45) * (31)

Multiplying these two numbers with a calculator, we get:

$${\mathtt{45}}{\mathtt{\,\times\,}}{\mathtt{31}} = {\mathtt{1\,395}}$$

I think this is asking you use the distributive property.

If you don't know the distributive propery, it's: a(b + c) = ab + ac.

In this equation, P = 2x + 2y, we can use the disributive property backwards to turn it into P = 2(x + y)

A ratio is just written like this: 3:5.

(+8) and (+4) are just normal 8 and 4 (as far as I know.)

So:

8 - 4 = ?

As in fact families?

Well since, -8 -4 = -12

then, -12 + 4 = -8

Tell me if this helps or not.

Jbow4 is correct, but in case you want further explanation:

Y + 9 = 13

Your overall goal is to get one variable isolated (which is defined as: put the variable, in this case y, on one side of the "=" by itself.)

This is a balance beam; whatever you do to one side of the equation, you must do to the other.

If we subtract 9 from both sides, we can easily get the answer:

Y + 9 - 9 = 13 - 9

Obviously 9 - 9 = 0, so we're left with Y + 0 or just Y on the left side. On the right side 13 - 9 = 4:

Y = 4

This is our answer.

First let's make the ratio have similar units: 1 ft. = 12 inches, so 1/4 in. to 12 in. is the ratio.

Another way to make the ratio easier is to multiply each side by the recipricol of 1/4 (Or flip-flopped fraction: 1/4 becomes 4/1.) 1/4*4 in. = 12*4 in. So we now have a very easy to understand ratio of 1 in. = 48 in.

We can now just multiply each side length by 48 to get the actual size:

$${\mathtt{3.5}}{\mathtt{\,\times\,}}{\mathtt{48}} = {\mathtt{168}}$$ in.

$${\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{48}} = {\mathtt{240}}$$ in.

These are our two side lengths: 168 in. * 240 in.

To get the area, just multiply these numbers together. If you want to concert to feet after getting the area, remember to divide by 144 (One square foot.)