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Answers by Roberto C.

if B=$5 bills and T=$20 bills, then 5B+20T=75   There are only 3 possible combinations, which are defined by the number of $20 bills, those possibilities are:   1) When there is 1 $20 bill: T=1 and B=11. Then: 5(11)+20(1)=75  That is, 11 $5 bills and 1 $20...

Let's start with the basic fact: perimeter is the sum of all sides: P=2W+2L     The perimeter of our rectangle is 50: P=50 The length of our rectangle is 3 times the width plus 1: L=3W+1   Now rewrite the first equation, substituting the...

I tried this approach: Luis wins the match if he wins the games as follows: 1,2,3 2,3,4 3,4,5 We don't consider games 4,5,6 because if the first game Luis wins is game 4, it means he lost the first 3; he's out. If Luis doesn't win 3 consecutive games, he needs to win 4 games...

This is a classic.  I love it!    The problem's question is: "how many seconds does it take..." That's "time".  How are time, speed and distance related?   d = r x t  distance is equal to rate of speed multiplied by time.  Thus...

The problem states, in other words, that the mass of the sun is about 26 million times larger than the mass of the moon.  Therefore, if we know what the mass of the moon is, we just need to multiply it by 26 million and that will give us the mass of the sun:   Mass of the sun =...

Amanda, you will find a lot of this type of word problems in your high school years and beyond.  A practical way to approach them is this:   Note that you have 2 categories: one is the number of items - two is the cost of the items. Set an equation for each:   1) The...

Two pairs of numbers comply with the given condition, as it is to expect, since every quadratic equation has two solutions (except when the vertex of its graph is on the x-axis).   Let's see:   Let the numbers be x and (x+1)  -  They could be x and (x-1) as...

Let's say that m represents the amount of money members pay for aerobic classes at the fitness center.  The cost of the aerobic classes for members is defined by this simple equation:  m = 6 + 3x That is, members will pay a $6 fee to the fitness center, plus $3 every time they...

Ben,   The monthly cost of at least $89 and at most $137, may be defined as:   89 ≤ C ≤ 137     Since C = 25 + 0.80(x - 60), we get this compound inequality to solve:   89 ≤ 25 + 0.80(x - 60) ≤ 137     (89...

Hayna,   When factoring trinomials of the form ax2 + bx + c, the first test you run is common factors.  Since there is none in this case, you should try factoring it by product of 2 binomials, or by the quadratic formula.   I wrote a simple program in...

word problem (answer)

Abby,   Distance = rate * time or (rate)(time) or "rate multiplied by time"   Define these values for each of the buses.  Let's call them bus 1 and bus 2:   Bus 1:  distance traveled: x miles           ...

Hi Taryn.   To figure out if Marietta sold more cheese on Monday than on Tuesday, we need to compare the amount of cheese she sold on both days.  However, comparing 7/9 with 0.85 is like comparing cheese with butter: they both come from milk, but are different stuff.  In order...