## word problem in algebra, Mathematics

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robin runs 5 kilometers around the campus in the same length of time as he can walk 3 kilometers from his house to school. If he runs 4 kilometers per hour faster than he walks, how fast does Robin walk?

#### John 47 out of 86 free-throws who best free-throw shooter, Michael made 19 ...

Michael made 19 out of 30 free-throws this basketball season. Larry's freethrow average was 0.745 and Charles' was 0.81. John made 47 out of 86 free-throws. Who is the best free-th

#### Lorie, A bourbon that is 51 proof is 25.5% alcohol by volume while one that...

A bourbon that is 51 proof is 25.5% alcohol by volume while one that is 82 proof is 41% alcohol. How many liters of 51 proof bourbon must be mixed with 1.0 liter of 82 proof bourbo

#### Intercepts, The last topic that we want to discuss in this section is that ...

The last topic that we want to discuss in this section is that of intercepts.  Notice that the graph in the above instance crosses the x-axis in two places & the y-axis in one plac

#### How many years will it take him to pay off the loan, Joe took out a car loa...

Joe took out a car loan for \$12,000. He paid \$4,800 in interest at a rate of 8% per year. How many years will it take him to pay off the loan? Using the easy interest formula I

#### Example of business applications, An apartment complex contains 250 apartme...

An apartment complex contains 250 apartments to rent.  If they rent x apartments then their monthly profit is specified by, in dollars,,                                      P ( x

#### Find the third vertex of equilateral triangle, If two vertices of an equila...

If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2  or 3/2, -3√ 3/2] Ans:    OA = OB = AB OA 2 = OB 2 = AB 2

what is 2+2=

#### Real analysis, Let {An} be sequence of real numbers. Define a set S by: S={...

Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai

#### Arithmetic progressions, ARITHMETIC PROGRESSIONS: One  of the  endlessly a...

ARITHMETIC PROGRESSIONS: One  of the  endlessly alluring  aspects  of mathematics  is  that its thorniest  paradoxes have  a  way  of blooming  into  beautiful  theories Examp

#### Determine rational exponents, Evaluate following. (a) 625 3/4 Solut...

Evaluate following. (a) 625 3/4 Solution  (a) 625 3/4 Again, let's employ both forms to calculate this one.             625 3/4   =( 625 1/4 ) 3 =(5) 3   = 12