7 of 7 Items .... Source: David Martin

I found this weird fruit that weighed 100 lbs and was 99% water.

Wanting less water, I left the fruit out in the sun until it was only 98% water. How much does the fruit weigh now?

.: [MS Math], [David Martin], [Puzzle].

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Wowie Wednesday....

There are more ways to arrange a regular deck of cards than atoms on our planet. Shuffle a deck of cards thoroughly and pile them up.

No one has, and no one likely will ever, hold the exact same arrangement of those 52 cards that you have in your hand right now.

.: [PROBABILTY], [David Martin], [Combinatorics].

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"I am thinking of a number which is divisible by 18, and the number only consists of 4s. (444....) What could be the smallest positive number that works?"

.: [MS Math], [David Martin], [Number Theory].

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Imagine going to a donut shop that sells donuts in packs of 5 or 9. The box of nine is shown, and the box of five is four with one in the middle.

You could order 14 by ordering 1 pack of each. If you needed 20, you could order 4 packs of 5.

You could not order 11, or 12.

What is the largest number you could NOT order?

.: [MS Math], [David Martin], [Number Theory].

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Sidewalk Chalk, Mathwalk

.: [MS Math], [David Martin], [Sidewalk Chalk].

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Graph of \(y=a-x^2\) is tangent to \(x^2+y^2=1\)

If \(a>1\), determine value of \(a\) and the points of tangency. Notice anything?

.: [PRE-CALC], [David Martin], [Notice, Wonder].

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Warm Up for Algebra Students (SAT-Type)

Sum of the areas of two squares = 60
Sum of their perimeters = 40.

If sides of the squares are \(x\) & \(y\), \(xy=?\)

(1) Is it a good idea to test integer values first?

(2) Prob asks for \(xy\) instead of \(x\) and \(y\). Can you guess why?

.: [SAT], [David Martin], [Epiphany].

that's it.