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
german
3 years ago
9

Peter has invented a game with paper cups. He lines up 121 cups face down in a straight line from left to right and consecutivel

y labels them from 1 to 121. He then walks from left to right down the line of cups, flipping all of the cups over. He returns to the left end of the line, then makes a second pass from left to right, this time flipping cups 2,4,6,8... On the third pass, he flips cups 3,6,9,12.... He continues like this: On the ith pass, he flips over cups i, 2i, 3i, 4i,.... (By "flip," we mean changing the cup from face down to face up or vice versa.) After 121 passes, how many cups are face up?
Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

After 121 passes, there will be 11 cups facing up

Step-by-step explanation:

Given that:

Peter initially  lines up 121 cups facing down in a straight line from left to right and consecutively labels them from 1 to 121.

We can have an inequality ; i.e 1 ≤ n ≤  121; if n represents the divisor including n itself for which n  = odd number. Thus at the end of this claim, the cup will be facing up.

On the ith pass, he flips over cups i, 2i, 3i, 4i,.... (By "flip," we mean changing the cup from face down to face up or vice versa.)

For each divisor on the ith pass of n;

i \ th  \  pass  \  =  \ n  \ \to \ p   |n  since we are dealing with possibility of having an odds number:

Thus; p =i and i^2 = n  where ; n = perfect square.

Thus ; we will realize that between 1 to 121 ; there exist 11 perfect squares. Therefore; as a result of that ; 11 cups will definitely be facing up after 121 passes

You might be interested in
CHECK PROFILE QUESTIONS ALOT OF 20 POINT QUESTIONS HURRRRRYYYYYY!!!!!!!!!!!!
Veseljchak [2.6K]

Answer:

9(x)-20(y)

Step-by-step explanation:

a regular polygon has 6 wall then it matters that the 54 walls

4 0
3 years ago
Please help
Anettt [7]

Answer:

24

Step-by-step explanation:

7 0
3 years ago
What is 0.13095238095 as a fraction
Naddika [18.5K]

Answer: 13095238095/100000000000

Step-by-step explanation:  To write 0.13095238095 as a fraction you have to write 0.13095238095 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.13095238095 = 0.13095238095/1 = 1.3095238095/10 = 13.095238095/100 = 130.95238095/1000 = 1309.5238095/10000 = 13095.238095/100000 = 130952.38095/1000000 = 1309523.8095/10000000 = 13095238.095/100000000 = 130952380.95/1000000000 = 1309523809.5/10000000000 = 13095238095/100000000000

7 0
3 years ago
3(4x +5y) i need help on this lol thanks
Digiron [165]

Answer: 12x+15y

Step-by-step explanation:

5 0
3 years ago
Please help me with this.
N76 [4]
If you use a textbook for this i would recommend slader, it really works!!
7 0
3 years ago
Other questions:
  • Paul’s dog weighs 12 pounds more that Issac’s dog. Together they weigh 50 pounds. How much does Issac dog weigh ???
    13·1 answer
  • 34 points will mark Brainylest
    15·2 answers
  • Choose which of the following are true statements regarding matrices:
    13·2 answers
  • To convert a fraction to a decimal, you have to divide ________ by the _________?
    12·2 answers
  • • Close the window with the Nearpod lesson to return to the rest of the lesson and cli
    14·1 answer
  • Which of the following is the quotient of the rational expression shown below
    6·1 answer
  • 1. 6 divided by 8/9 SHOW YOUR WORK AND EXPLAIN ​
    6·2 answers
  • A car travelled 72 km in 3/4 h. If the car is travelling at a constant rate how far will the car travel in one hour?
    6·1 answer
  • Two equations with the solution of (3,6)
    12·1 answer
  • Math Correct answers only please!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!