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3 years ago

31 in the form 2n -1

Mathematics

1 answer:

____ [38]3 years ago

3 0

Answer:

(2 × 16) - 1

Step-by-step explanation:

31 = 2n - 1

31 + 1 = 2n

32 = 2n

16 = n

therfore, 31 can be written as :-

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How many different primes are in the prime factorization of 20! or 20 factorial?

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The sum of the masses of two heavyweight boxers is 190kg. ⅘ the heavier boxer is 10kg less than the mass of lighter boxer. Find

ratelena [41]

Answer:

<em>Their masses are 100 kg and 90 kg</em>

Step-by-step explanation:

<u>Equations</u>

We'll solve the problem by setting only one variable. Let's call:

x = weight of the heavier boxer

Since the sum of the masses of both boxers is 190 Kg:

190 - x = mass of the lighter boxer.

It's given that $\frac{4}{5}$ of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

$\displaystyle \frac{4}{5}x=190-x-10$

Operating:

$\displaystyle \frac{4}{5}x=180-x$

Multiplying by 5:

$\displaystyle 4x=5(180-x)$

$\displaystyle 4x=5*180-5x$

Simplifying:

$\displaystyle 9x=900$

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3 years ago

Please help solve 20 points.

Bond [772]

Answer: scroll down to find out :)

Step-by-step explanation:

This isn't a hard equation, so I would just use the points and figure something out.

Some obvious points are (3, 6), (6, 12), and (7, 14). Immediately, we notice that the y coordinate is 2 times the x coordinate.

So, the equation would be y = 2x.

<em>P.S. Let me know if I got it wrong! I'll be more than happy to fix it :)</em>

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3 years ago