How to calculate number of 16.9 oz bottles of water in a gallon?

Seems like you’re asking about how many of these water bottles it will take to have one gallon of water.

A gallon is a measure of volume, 231 cubic inches.

It would be much easier to calculate if you used the same kind of units for both the gallon and the bottles. So one option is have them either both in volume or both in weight.

I would personally figure out how many oz are in the gallon and then divide by the number of oz in each bottle.

You could do that in a few steps or if you understood the process, you could input a single query into Google and get an answer (which may need a little bit of interpretation).

Google is a little bit funny in what it accepts and does not accept.

If you input “oz in a gallon divided by 16.9 oz” which is exactly what you want, it doesn’t give you a direct result.

But if you input “oz in a gallon divided by 16.9” it gives you a number with units of oz.

For “oz in a gallon divided by 16.9 oz” the units will cancel out since you’re dividing oz by oz.

bottles in gallon

So the result is that number without the units of oz.

7.5739645 bottles.

Physics and Math Questions?

“How do I solve 2x-x=7?”

Combine “like” (same type) terms. You see three terms and and equals sign.

Two terms on the left side and one term on the right side (of the equals sign).

One term is a number and two terms have the variable x (with an implied exponent of 1).

If you had two numbers, you could combine them because they are “like” terms.

In this case, you have two like terms with x. So you can combine them.

Algebra, Multiplying by Reciprocal

The steps for solving an algebra problem, multiplying both sides of the equation by the reciprocal of the fraction on the left side.

multiplying by reciprocal

“why does $x^{1/2} = +\sqrt{x}$ not $±\sqrt{x}$?”

Seems you are asking about, in the context of differentiation, you’re not asking about how to actually differentiate.

I think you’re asking why it is not true that x^{1/2} = ±\sqrt{x}?

Since it seems logical that it would be similar to this, \sqrt{x^{2}} = ±x

Basically, I would say it’s because you can write -x^{1/2}

If that’s what you want to say, you put the negative sign in front of it. If you want it to be positive, you don’t write the negative sign.

If you square ±\sqrt{x}

In either case, you will get x.

“How do you Factor the following expression,[math] x^2-y^2-2x-2y[/math]?”

Here is how I would factor the algebra expression.

First thing I recognized was the difference between two squares. The more algebra you do, the more you will usually start to recognize patterns like this.

I used colors to show the connections between steps.

factoring with difference of squares 1

factoring with difference of squares 2

“How do I solve 4x+2y=-6 for y and then find two points on the graph” Algebra I

Solve for y
You want to solve for y =

So that means you should isolate y until it is by itself on one side of the = sign

You start with

4x+2y=-6

Right now there are two terms on the left side of the =

4x and 2y

It would be better if you only had the term with y by itself

If you change the left side, you must make the same change to the right side

So your first step could be to subtract 4x from each side

Finding two points
Once you have an equation, you can pick any number you want for x and then determine what the y coordinate should be, by solving for y.

Each point has an x and y coordinate (x, y)

Or you could pick a y value and solve for x.

The values you pick should be easy to graph (probably near the origin).

Two values that can often be easy to work with are the y-intercept and the x-intercept.
You find the y-intercept by setting x = 0 and solving for y and you find the x-intercept by setting y = 0 and solving for x.