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aev [14]
3 years ago
8

The perfect square game is played as follows: player 1 says a positive integer, then

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer: the number can be 9

Step-by-step explanation:

we want that

n + n - 1 + n-2 + .... + 2 + 1 = X

X must be a perfect square.

And the last number, 1, must be said by player 1, so n must be an odd number.

n + (n - 1) + (n -2) + ... + (n - n + 1) = n*n - (1 + 2 + 3 + .... + n)

and we know that:

(1 + 2 + 3 + 4 + ... + n) = n*(n + 1)/2

So we have:

x = n*n - n*(n + 1)/2 = n*n - n*n/2 - n/2 = n*n/2 - n/2 = n*(n + 1)/2

Now we want to find X such that is a perfect square and n must be an odd integer.

You can start giving different values for n until you reach a value of X that is a perfect square, for example, if you take n = 9, we have X = 36.

and 36 = 6*6

So if player 9, he will win always.

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Attached the solution and work.

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3 years ago
As a salesperson you get $50/day and $3.60/each sales you make.If you want to make $60 in one day, how many sales would you need
zalisa [80]

Answer:

a 3

Step-by-step explanation:

You make 50 a day plus 3.60 per sale

Income = 50+ 3.6 s

You want to make at least 60

60 ≤ 50+ 3.6 s

Subtract 50 from each side

60 -50 ≤ 50-50 +3.6s

10 ≤ 3.6s

Divide by 3.6 on each side

10/3.6 ≤ 3.6s/3.6

2.7777777 ≤ s

You must make more than 2.7777 sales

But you cannot make part of a sale so

You must make at least 3 sales



8 0
3 years ago
Will mark brainlest answer the question in the picture linked below<br>and explain as well
RoseWind [281]

Answer:

¹⁰√4

Step-by-step explanation:

4^(2/5*1/4)

4^(1/10)

¹⁰√4

7 0
2 years ago
Elena finished 4/5 of her science project. Write a fraction equivalent to 4/5
san4es73 [151]

Answer:

Step-by-step explanation:

8/10

8/10 is equivalent to 4/5

8 divided 2 is 4 and 10 divided by 2 is 5 so 4/5

4 0
3 years ago
WILL MARK BRAINLIEST ON THE FIRST PERSON !! Giving EXTRA POINTS!! Need the answer right now!!
V125BC [204]

Answer:

I think it's 34.12 inches

Step-by-step explanation:

Use the Phythagorean Theorem, because bisecting a rectangle using the diagonal will produce 2 triangles. The diagonal represents the hypotenuse of the triangle so to solve for it you'd use the formula c² = a²+b²

8 0
3 years ago
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