Percents may be written as:    55%  or   (55/100)    or 0.55    as needed by the problem.   Assuming that you have girls and boys,    number of girls       +      number of boys ...

Let x = number of rows "number of seats in each row" = x+12   Total number of seats:      (x) * (x+12) = 1120       [rectangular]      x2 + 12x - 1120 = 0       [put all values...

Find the prime factors of each number:       "26 almonds"         26 = 2 * 13    "78 peanuts"          78 = 2 * 3 * 13    "56 peanuts"         ...

"one number is x"   "Two numbers have a sum of 29"   means:         "one number"  +  "other number"    = 29   or              x   ...

The prime factors of 10368 are:   10368  =  2*2*2*2*2*2*2*3*3*3*3     10368  =  ( (2*2*2)*(3*3) ) * ( (2*2*2*2)*(3*3) )   Rule to remember:  Perfect squares have an even number of each prime factor.     We...

Let x = the amount that Charles spent   "Together they both spent \$63"      means       Charles spent           +        Jenna spent             = ...

Points:      (x1,y1)   is  (2,7)      (x2,y2)   is  (0,1)   Point-slope form is:      (y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)       y - 7 =( (-6)/(0-2) )(x-2)  ...

Example:   hole number           You won        They won --------------           ---------         ----------       1           ...

See--   https://www.strongnet.org/cms/lib6/OH01000884/Centricity/Domain/308/Venn%20Diagrams.pdf   For probabilities, the sum of independent probabilities is  1.0 (that is, certainty - it is certain that something will happen),.

"exactly 72 percent"  of "total number (n) of fish"  means that  (72/100)n is an integer and n is an integer..       (2*2*2*3*3)/(2*2*5*5)n   where n is an integer     [these are the prime factors]      ...

"Not more than" means "Less than or equal to."        [That is, "equal to" is also "not more than."]

Computer "benchmarking" is often very complicated because you need to understand how an operating system schedules tasks, how memory swapping or paging work, how multiple CPU cores and caching work, etc., etc., etc.   You have a good start --- your "standard script." ...

"a multiple of 5"   means that the number has a factor of 5      That is,   5*x   "a factor of six"  means that the number has factor of 6.       That is,   6*y   So far, this is ...

Yes, f(0) means to find the value of the function when t=0.    [t, the number of seconds that has elapsed, is t=0 at START]

The formula y=mx+b describes a line in the Cartesian Coordinate System.   A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular...

The formula for the Volume of a cylinder [note: area of circle times height]:       V = Πr2h     Solve for r in terms of h       r2 = V / (Πh)   For this cylinder, V=539.       r2 = 539 / (Πh)  ...

The question mentions two important time periods:         day      ["24 hour"]        year      ["summer" and "winter"]   Now, we must add two very important concepts:  ...

Let x be the total number of tarts.      Morning sales = (3/5)x    Afternoon sales = (1/4)( x - (3/5)x )        ["1/4 of the remainder"]      Morning sales = afternoon sales  + 200     ...

y=x2              |                 *            |                           |       ...

To better understand this problem, draw a picture and label the dimensions.        xxxxxxxxxxxxx   xxxxxxxxxxxxxxxxx   xxxxxxxxxxxxxxxxx      L = W+12      xxxxxxxxxxxxxxxxx     xxxxxxxxxxxxxx    ...