A Grace Hopper nanosecond is a visual aid that represents how fast electricity can travel in one billionth of a second.   The name comes from the foot-long lengths of telephone wire that Admiral Grace Hopper used to give out at lectures. Admiral Hopper used the wires to illustrate how...

This is a geometric sequence -- there is a constant ratio of a term with the previous term.     110/100 = 1.1   121/110 = 1.1   133.1/121 = 1.1   The next term is x:     x/133.1 = 1.1   Can you find x ?

Percent increase/decrease = (difference/original)*100%                                          = ((24400 - 20000)/20000)*100%                ...

Sides:     3x       (x+5)      40   a)   3x + (x+5) > 40        4x + 5 > 40         4x < 35         x > 8.75   b)    ...

Parallel lines have the same slope.   The slope of the line y=3x-1 is m=3  (y = mx+b).   The parallel line has the form  y = 3x + b   and we need a point to determine b.  Use (2,2):      2 = 3(2) + b     ...

Let the four positive integers be:  a, b, c, d     a  +  b  +  c            =  1068   a  +  b         +   d    =  1430   a    ...

Remember that the decimal number system is a positional number system.  For decimal, that means ones place, tens place, etc.   Let the number be xy          [note: x is a digit in tens place and y is another digit in ones place]   Learn to...

"Computational thinking is the thought processes involved in formulating a problem and expressing its solution(s) in such a way that a computer—human or machine—can effectively carry out. Computational Thinking is an iterative process based on three stages:      Problem...

"In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure."     (bold mine)...

Assuming that the room is a rectangle (5m x 3.5m), then there are two walls 5m*h and two walls 3.5*h.          Area = 2*5*h + 2*3.5*h     Area = 17*h       51 = 17*h       h = 3 m

Since 945 has a 5 in the ones-digit position, it is likely that one of the factors is 5 or 15 (25 is too large).   The prime factors of 945 are:  3*3*3*5*7 Can these numbers be grouped such that the sum is 24 ??   Taken individually, 3+3+3+5+7 =...

Average = (total of the values) / (number of values)   Add the number of books and divide by the number of libraries.      [give answer in millions]

Per Heron's formula:     A = √( 32(32-12)(32-22)(32-30) )     A = √12800     A = 80√2     A = 113.14 ft2

Remember that decimal is a positional number system.   Let the digits of the two-digit number be "ab"     [this is a*10+b]   Translate: "reverse the digits in a certain two digit number you decrease its value by 9"   ...

Often, it helps to draw a picture.   Given the points (0,a) and (a.0):                       [note:  a is a constant; the use of "x" may be confusing]         |      ...

You have a circular pool that has a circumference of 100ft. You need to buy a cover for the pool. How many square feet of material for the cover is needed?   For a circle:       C = Πd = 2Πr                    ...

It is a pretty simple experiment to get three pencils/straws/etc. and make one of them the base (say, the 10 ft. side), the second one short (for the 2 ft side) and the third for the third side.   The rule is:  The sum of the lengths of any two sides of a triangle must be greater...

"Unit rate" is "how many of these for one of those?"   Considering "18 cupcakes made in 3 hours," you may have:              6 cupcakes per hour                     ...

The Standard Form of the equation of a line looks like:    Ax+By=C     You may, once and forever, convert this to slope-intercept form (y=mx+b) and remember that the slope, m=(-A/B).   A line with slope of (-2) will have an equation that looks like:   ...

"ISA 315 Identifying and Assessing the Risks of Material Misstatement Through Understanding the Entity and its Environment states that auditors need to understand an entity's internal controls. To assist this process it identifies five components of an internal control system: 1. the control...