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lutik1710 [3]
2 years ago
6

Prove that if n is an even integer, then n + 1 is odd. Give a proof by contraposition of this theorem.

Mathematics
1 answer:
S_A_V [24]2 years ago
7 0

Answer:

Proved below

Step-by-step explanation:

If we assume that n + 1 even when n is even, it means that;

n + 1 = 2x

Where x is an integer

Then;

n = 2x - 1

This means that n is odd because 2x - 1 is odd.

But we know that n is even, thus, our assumption is wrong.

Therefore, n + 1 is odd when n is even.

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A movie theater sells popcorn in bags that open to form similar prisms, as shown. The large bag has a volume of 576 cubic inches
liq [111]

Answer:

Can't be determined

Explanation:It can't be determined since there are two sides that you need to find out.

8 0
3 years ago
HELP PLEASE Sam and George both worked hard over the summer. Together they earned a total of $525. George earned $75 more than S
ZanzabumX [31]

Answer:   Sam = $225      George = $300

<u>Step-by-step explanation:</u>

NOTES:

Sam: s

George: g = s + 75

Together: s + g = 525


a.

The two equations that can be created are "George" and Together"

The system is: \left \{ {{\text{g = s + 75}} \atop {\text{s + g = 525}}} \right.

b.

see attached graph

c.

The intersection of the two lines is at (225, 300).  Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.


BONUS:

This system can also be solved algebraically using the substitution method.

Replace "g" with "s + 75" into the second equation:

s + (s + 75) = 525

2s + 75 = 525

2s = 450

 s = 225

Next, input the s-value into the George equation to solve for g:

g = s + 75   = (225) + 75   = 300

5 0
3 years ago
50 POINTS IF YOU ANSWER CORRECTLY please I need help:)
Zinaida [17]

Answer:

60 degree

Step-by-step explanation:

They are complementary angles which means they must add up to 90.

As WOX is 30 degree then

90-30=60.

yoz would also be 60 degrees because wov and yoz are equal

8 0
3 years ago
Read 2 more answers
A letter is randomly chosen from the word EXCELLENT. Write each probability as a fraction, decimal, and a percent.
Sergio [31]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A complete question is in the form:

A letter is chosen at random from the letters of the word EXCELLENT. Find the probability that letter chosen is i) a vowel ii) a consonant.

Solution:

The total number of letters found in the word EXCELLENT = 9

i) The number of vowel letters found in the word EXCELLENT = {E, E, E} = 3

Hence, probability that letter chosen is a vowel = number of vowels / total number of letters = 3 / 9 = 1 / 3

probability that letter chosen is a vowel = 1/3 = 0.333 = 33.3%

ii) The number of consonant letters found in the word EXCELLENT = {X, C, L, L, N, T} = 6

Hence, probability that letter chosen is a consonant = number of consonant / total number of letters = 6 / 9 = 2 / 3

probability that letter chosen is a consonant = 2/3 = 0.667 = 66.7%

7 0
3 years ago
A smart phone was on sale for $585. If the phone
siniylev [52]

Answer:

$789.75

Step-by-step explanation:

I'm just smart

8 0
3 years ago
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