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olasank [31]
3 years ago
11

A state lotto has a prize that pays $1,400 each week for 25 years.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

Step-by-step explanation:

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Which graph represents a function??
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Graph D, because no x-value repeats and it passes the vertical line test. 
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3 years ago
Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest or smallest possible values fo
12345 [234]

9514 1404 393

Answer:

  smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

  largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

  • ax -b = c
  • dy +e = f

Then the values of x and y are ...

  x = (c +b)/a

  y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

<h3>Smallest sum</h3>

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

  • 8x -3 = 4   ⇒   x = 7/8
  • 1y +9 = 2   ⇒   y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

<h3>Largest sum</h3>

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

  • 1x -9 = 8  ⇒   x = 17
  • 2y +3 = 7   ⇒   y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

<em>Additional comment</em>

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0
3 years ago
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In how many different ways can someone arrange 6 books on a shelf
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Number of ways = 6!
Number of ways = 6 x 5 x 4 x 3 x 2 x 1
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------------------------------
Answer: 720 ways
------------------------------
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The judges at the track meet will award prizes to the top 4 teams. How many different ways can the top four teams place??
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They could give to teams more than likely on an average score the whole team has done, or at least that is what they are supposed to do. but they also might award the team which had more teammates get better places. for example if party place got three people on their team but they all did 3rd then boring barn who got 1 person could possibly win if that one person gets 1st place.
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What's 676 divided by 13 in long division? I need step by step cause you have to drag the numbers.
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Answer: 52

Step-by-step explanation: Not much work with this one but hope this helps :)

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