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## Answers by Mary Ann F.

The distance between the bounces is being cut in half each time: 16, 8, 4, 2, 1, 0.5, 0.25, 0.125, 0.0625, 0.03125, 0.015625, 0.0078125  1   2  3  4  5   6       7        8         9      ...

I had to look up the conversion factor:    1 KM = 0.62137 miles    so    4 Km = 4(0.62137) miles = 2.485 miles   or about 2.5 miles deep.

14,780,000 -7,300,000  7,480,000  <<< growth in the 23 years from 1190 to 2013 (this is where they get the                             "approximately double in 23 years"   The...

It has already risen 4, so it has 8 inches to go. at 2 inches per hour this will take another 4 hours. In a number sentence we would say it like this:   4 inches + 2 in/hr * (? Hrs.) = 12    Subtract 4 from both sides:   (2 in/hr) * H = 8   H...

Always figure the % discount from the original price.  1250 - 900 = 350 << this is how much \$ is subtracted to reach the new price. This is the discount.    350 is what percent of 1250?    1250(P) = 350    350/1250 = 0.28   discount...

3D + 6G = 84 12D +12G = 240   We can make this system easier by dividing through each of the equations by a common factor. In the first equation I'm going to divide everything by 3, and in the second by 12. Then I get this:    D + 2G = 28 D +...

There are two relationships described, let's write equations to match them:    9S + 2L = 110 10S + 14L = 346    Now let's solve one of these for ONE of the variables. (I'm going to chose the first one because it has smaller numbers) 1.) move the...

30 posts per 24 hours elapsed time.    30/24 = 1.25 posts per hour is your rate.

I think, maybe, what they're asking for is the following:  let T = temperature.    temperatures higher (warmer) than -8 would be T > -8C  temperatures lower (colder) than -8 would be T < -8C   Is there more information given in the question...

Hi Marie - The process of completing the square is pretty simple: Start by moving the constant term to the other side of the equals sign by adding 3 to both sides. Then we have this:   x2 + 2x + ___  = 3    Now divide the coefficient on the x term...

In general: Total purchase price = sticker price + (sticker price)*(tax rate as a percent)  In this problem:                       5.28 = P + (P)*(.10)   Think of the right hand side of this equation as...

x....3.5 ft........x.........3.5 ft........x..... etc...... Post              post                      post   First this question is asking how many sections 3.5 feet long fit in a fence 210...

His trip looks something like this:   Home.......Ball Field........ School |<  2miles >|<       x miles     >| |<                6 miles              ...

Riders' height = R    This is a problem that is examining the translation of the words "at least" into an inequality sign. We know that this kind of limitation is meant to exclude people that are shorter than 48 inches tall right? So let's write this:    R...

Time "lapse" is the same as "time difference", right? When we use the word difference in math we need to subtract:     9:29 - 6:32       since the minutes in the bottom number are bigger than the ones in the upper number we...

Do you mean, what is the time difference between these the two times given?  The easiest way for me to think about this is to first add whole hours and then work backwards:    1:23 + 3 hours would be 4:23 elapsed time. But that overshoots our target time by the difference...

Make y = years to add onto current age.   Currently: P = 4, U = 24   at later age: 4 + y = 24 + Y    >> "Pablo will be half his uncle's age in an                          ...

Can you see that these are (x,y) ordered pairs?  (0,20) (2,18) (4,16) (8, 12)   You could figure the slope between any two of these points.  Slope = rise/run = Δy/Δx = y2 - y1                  ...

This is a discrete graph (points but no connections between them), because you cannot buy 1/2 a ticket. There are discrete values (C's) that correspond to 16 times the number of tickets purchased.  C = 16n  n(tickets)         C(cost)    ...

X's are inputs y's are outputs   when X =  , then y =             graph the ordered pair -3               (-3)3 + 1 = - 26         (-3, -26) -2        ...