1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
k0ka [10]
3 years ago
6

Suppose in a game with a pile containing a large number of chips, you can remove any number from 1 to 6 chips at each turn. What

is the winning strategy?
Mathematics
1 answer:
liq [111]3 years ago
7 0

Answer: the winning strategy is to take 1 chip, leaving our opponent with  the losing position of 5 chips.

Step-by-step explanation:

suppose we start with 6 chips.

* If we take 1 chip, we leave our opponent with 5 - which we showed  

  was a losing position for him.

* If we take 2 chip (leaving 4), our opponent will take 3 - we lose.

* If we take 3 chip (leaving 3), our opponent will take 2 - we lose.

So our winning strategy is to take 1 chip, leaving our opponent with  

the losing position of 5 chips.

You might be interested in
Kelly earns $178.50 in interest on an account that earns simple interest at a rate of 4%. If she kept the money in the account f
Otrada [13]

Answer:

  $892.50

Step-by-step explanation:

The amount of interest earned is given by ...

  I = Prt

Filling in the given values, we have ...

  $178.50 = P·0.04·5

Dividing by 0.20 gives ...

  $178.50/0.20 = P = $892.50

The principal amount in Kelly's account is $892.50.

7 0
3 years ago
So, the additive inverse of -7/8 is​
zlopas [31]

Answer:

Im prett sure its 7/8

Step-by-step explanation:

The additive inverse of a number is a number that, when added, goes to zero. For example, 7 is -7 because when added it equals 0 (or 7-7)

8 0
3 years ago
Give the following equations determine if the lines are parallel perpendicular or neither
GaryK [48]

In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.

\frac{6x-5y}{2}=x+1

Cross multiply both sides of the equation.

6x-5y=2(x+1)6x-5y=2x+2

Subtract 6x on both sides of the equation.

6x-5y-6x=2x+2-6x-5y=-4x+2

Divide both sides of the equation by -5.

-\frac{5y}{-5}=\frac{-4x}{-5}+\frac{2}{-5}y=\frac{4}{5}x-\frac{2}{5}

Therefore, the slope of the first equation is 4/5.

Let's now simplify the second equation.

-4y-x=4x+5

Add x on both sides of the equation.

-4y-x+x=4x+5+x-4y=5x+5

Divide both sides of the equation by -4.

\frac{-4y}{-4}=\frac{5x}{-4}+\frac{5}{-4}y=-\frac{5}{4}x-\frac{5}{4}

Therefore, the slope of the second equation is -5/4.

Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.

5 0
1 year ago
What is the remainder of 7964 divided by 8
pishuonlain [190]

Exact Form: 1991/2


Decimal Form: 995.5


Mixed Number Form: 995 1/2

6 0
3 years ago
The midpoint of AB is M(4, -1). If the coordinates of A are (2,5), what are the
ozzi

Answer:

(6,-7)

Step-by-step explanation:

take b as x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

8 0
3 years ago
Read 2 more answers
Other questions:
  • (4,7), (x,19); slope = 3 the pair points lies on the same line with the given slope. Find x
    12·1 answer
  • 721 lbs per week into kg per second SHOW WORK PLEASE:)
    8·1 answer
  • What is 5/7 times 3/4
    12·2 answers
  • 4X – 3 =2X+7<br><br><br>....................................​
    9·2 answers
  • Two angles are supplementary the first angle measures 40 degrees what is the second angle
    7·1 answer
  • Joanne has 20 books on crafts and cooking. she has 6 more cookbooks than craft books. how many of each does she have?​
    15·1 answer
  • Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty d
    14·1 answer
  • Given m∥n, find the value of x and y.
    15·1 answer
  • 50 PTS AND 25 MORE IF U GET BRAIN PLSSSSSSSSSSSSSSS
    13·2 answers
  • Work out the angle of elevation from the
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!