We can also solve by building equations. If Kaden's salary is cut by x%, his remaining salary is 100-x%. To convert this into a decimal, we divide by 100. So Kaden's new salary will be: $$125000\left(\frac{100-x}{100}\right)$$ or simplified $$1250\left(100-x\right)$$ If Kaden's salary is cut by y%, ...

You can also solve this problem by building equations. A rectangular tiled floor consists of 70 square tiles. The rectangular floor is being rearranged so that 2 tiles will be removed from each row of tiles and 4 more rows of tiles will be added. After the change in layout, the floor will still have...

We can approach this problem using a double matrix (diagrams linked below): The question gives us the following: https://cl.ly/0o243n000d1B Then, we can gradually fill in information: https://cl.ly/3m0A210E2X22 https://cl.ly/3t3c2G2v0U2h https://cl.ly/033e2R0P0v0U Now we know that the electric, auto...

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This question is not valid as written. The underlined portion must include "able to be". As it stands, E reads: The discovery that glass --can be expanded and -- able to be shaped by human breath which not parallel — "can be expanded" is a verb phrase, while "able to be sh...

As a quick note, we can stack all of these conversions into one dimensional analysis equation: $$n\ pages\left(\frac{5\ \min}{2\ pages}\right)\left(\frac{60\ \sec}{1\ \min}\right)=\ 150\ \sec$$ This reduces the number of steps we need to do, simplifies our math via cancelling, and keeps our informat...

When we take two neighboring sides of the square and the diagonal of the square, we have a right triangle. If each side of the square is √6, then we can use the pythagorean theorem to find the length of the diagonal: $$\sqrt{6}^2\ +\ \sqrt{6}^2=d^2$$ $$12=d^2$$ $$d\ =\ \sqrt{12}$$ where d is the d...

A great idea here is to make a double matrix and fill it in for each statement. With double matrices, we know that if we have two values in either a row or a column, we can solve for the third value in that row or column. (Note: the bbcode for inserting images directly into posts isn't working for t...

We could also approach using dimensional analysis. Franny: $$2\ hours\ \left(\frac{60\ \min}{1\ hour}\right)\left(\frac{80\ words}{1\ \min}\right)=9600\ words$$ Matt: $$14000\ words\ -\ 9600\ words\ =\ 4400\ words$$ $$4400\ words\ \left(\frac{1\ \min}{60\ words}\right)\left(\frac{1\ hour}{60\ \min}\...