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NeTakaya
3 years ago
5

A game is being played with two players. There are 21 balloons and the player who pops the last balloon wins. One or two can be

popped in a turn. How can a player win every time
Mathematics
1 answer:
34kurt3 years ago
4 0

Answer:

  be the second player, and always leave a multiple of 3 balloons

Step-by-step explanation:

In order to win, a player must force the other player to leave one or two balloons. To do that, the winning player must leave one more balloon than the maximum number that can be popped. That is, the winner will be the player who leaves 3 balloons,

Working backward, we find that the winner must leave a multiple of 3 after each turn. Since the starting number is a multiple of 3, the first player must lose if the second player plays optimally.

The winning strategy is ...

  • be the second player
  • always leave a multiple of 3 balloons.
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A town has a population of 1,000 people. The population triples every 100 years. Which equation and graph show the number of yea
photoshop1234 [79]
I believe you have to add the 1,000 and 100
3 0
3 years ago
Annalise invested $3,300 in an account paying an interest rate of 2.8% compounded monthly. Assuming
Artist 52 [7]

Answer:

  $4,881.56

Step-by-step explanation:

The future value formula is ...

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

You have P=3300, n=12, r=0.028, t=14, so the future value is ...

  FV = $3300(1 +0.028/12)^(12·14) = $4881.56

There would be $4881.56 in the account after 14 years.

4 0
3 years ago
In the image below, ABC ~ DEF What is the length of EF and the measure of D
Gwar [14]
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

-------------------------------------------------------------------------------------------------------------

Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

-------------------------------------------------------------------------------------------------------------

So in short, the answer is choice B) 27; 49

7 0
4 years ago
13. Find AC. PLEASEE I NEED HELP!!!!!
sertanlavr [38]
AC should equal to 14.
6 0
3 years ago
Read 2 more answers
PLZ help thnx
Pepsi [2]

Answer:

A) $40

B) 40M = P

C)  $3,120

Step-by-step explanation:

Given that at her salon, last week Tammy did 25 manicures and collected $ 1000, to calculate the slope to represent the manicures, write an equation to represent this relation and determine how much would Tammy make if she did 78 manicures in a month the following calculations should be performed:

A)

1000/25 = X

40 = X

Thus, each manicure costs $ 40.

B)

40M = P

C)

78 x 40 = X

3.120 = X

So if she did 78 manicures in a month, Tammy would earn $ 3,120.

8 0
3 years ago
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