every other number is "1"
The numbers in between are 3, 12, 48 ...
3 * 4 = 12
12 * 4 = 48
48 * 4 = 192
5 + 6 = 11 (third number)
6 + 11 = 17 (fourth number)
11 + 17 = 28 (fifth number)
17 + 28 = 45 (sixth number)
28 + 45 = 73
when estimating you'd round
to 300,000 / 300 which is
$1,000 for each professor.
Six doxen calculators
purchased =
$85 * 6 = $510
Sold $25 for 3 so sold for
$25 * 4 = $100 per dozen
Six dozen sold = 6 * $100 = $100
Profit = Total money made - cost of purchase
$600 - $510 = $90 profit
We can use Polya's four steps:
1) UNDERSTAND the problem.
The total of the coins must always be 35 cents because it says we need exact change.
We must find all possible combinations that will add up to 35 cents.
We have 4 nickels, 3 dimes, 2 quarters
All coins are "the same" meaning 1 nickel + 1 quarter = 30 cents
Even though you have "other" nickels and quarters you could choose, the combination of
"nickel + quarter" will count as "ONE WAY" to make 30 cents.
2) Devise a plan.
List all possible coin combinations. We will start will the maximum number of coins of
the larger value and work toward the coins of smaller value.
3) Carry out the plan and solve the problem.
Make a table listing all possible combinations. We will use three columns: one for
quarters, one for dimes, one for nickels. The coins in each *row* should add to 35 cents.
Even though we have two quarters, we can *use* at most 1 quarter since two quarters
would be more than 35 cents.
(Recall we have 4 nickels, 3 dimes, 2 quarters)
Quarters
1
Dimes
1
Nickels
0
TOTAL
35
1
0
2
35
0
3
1
35
0
2
3
35
We could try to use 1 dime, but would need 5 nickels and we only have 4.
So there are FOUR possible ways to make 35 cents.
Step 4) Look back and check the answer.
159,600 - 157,500 = 2,100 difference in areas
(island B) (island A)
final answer given in grams
convert mg to grams
1090.91 / 1000 = 1.09091
rounded to nearest gram = 1 gram
fence goes around the outside so we need the
perimeter - - - 40 yd + 40 yd + 30 yd + 30 yd = 140 yd
carpet covers the entire floor, so we want the
AREA
18 ft * 16 ft = 288 square feet
32 square yards * $15 / square yards = $480
trim goes around the outside, so we want the
perimeter, which in this case is called the
circumference because the window is a circle
MAXIMUM
CONCENTRATION
(yellow dot)
The y-value of the point with the highest
concentration is 44.
Plot point at y-intercept
(0, 5)
Then use rise/run to go UP 2 and
RIGHT 1