Harding and Jack found that 8 percent of their number was 72. What was their number?

1 answer:

4 0

I do believe that the answer is 900.
Steps:
I first set up a proportion, with 8/100 and 72/x (x being the number we are trying to find)
As I was taught, you multiply 100 by 72, which equals 7,200.
Then, I divided 7,200 by 8, which gave me 900.
This is what the proportion process should have looked like:
8/100 72/x
7,200/8
x=900
I hope this helps!

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Problem 13

If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

Example: x^3 times x^3 = x^6 in the top left corner
Another example: 2x times x = 2x^2 in the bottom right corner.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2