CalculatorUser

Math is big and wonderful and cool and fascinating and happy and smart and good and beautiful

Not sure about this, but I think you just do 

1.5 / 6 = 0.25

So 0.25 cups of flour per serving

OOPS 

Wow I thought it was 1

Do you know how to write ellipse equations?

Standard form \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

With \(a>b\).

The value of A I think is just the distance of the origin to the endpoint of the horizontal axis

The value of B is the distance from the origin to the endpoint of the vertical axis.

The answer cannot be negative because then it will be a complex, or imaginary number!

This is a prime factoring combination problem

EDIT: SEE Electric Pavlov's reply below!!!!!!!!!!!

Prime factorize 10,000

that is 2⁴ * 5⁴

Notice how it is 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5

Since there are 8 numbers, and you want 7 digits, there is only one way to eliminate.

It is now 10 * 2 * 2 * 2 * 5 * 5 * 5

There can only be one 10, three 2, three 5s.

So how many unique ways can we arrange these?
Lets do some case work

10 2 2 2 5 5 5

How many ways can you arrange (three 2s and three 5s)

+

2 10 2 2 5 5 5

How many ways can you arrange (one 10 two 2 and three 5s)
+

5 10 2 2 2 5 5

How many ways can you arrange (one 10 three 2 and two 5s)

After adding the number of cases together, you should get your answer. I will leave you to solve that.

Picture for number one?

2)

Just solve the equation normally, but show EACH STEP of your work.

Now take each step of your work and justify each step.

You should use different properties (such as additive property of equality for example) that you learned in class..

I dont this is really hard but I have a crazy suggestion

Draw a regular hexagon inscribed in the circle

Now notice how the radii meet at the center.

Adjust that regular center so it fits the center of your problem.

Now imagine the radii adjusting as well.

Does that show that it is concurrent?

Welcome!