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
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.

You might be interested in
Can someone please help me out?
jek_recluse [69]

Answer:

Ligh blue

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal for $7.50; th
Romashka-Z-Leto [24]
Given:
Mr. Rodriguez :                          6.25
Mrs. R                                        7.50
2 children @ 4.99 each       <u>      9.98</u>
Subtotal:                                 23.73
Sales tax 7.25%                        1.72        *23.73 x 7.25%
Total tip 15%                         <u>    3.56  </u>      *23.73 x 15%
Grand total                            $29.01


Tips should be applied to pre-tax amount not post-tax. However, some companies compute tip based on post-tax amount. This means that the tip you are paying is computed based on the total amount of the meal as well as the sales tax you paid for the meal.

6 0
3 years ago
Assume that the notation (a,r,s,t) means multiply q and r, then add the product to s and (2,6,4,8)+(4,7,2,6)? Please show work a
Mama L [17]
<h3>Answer:  7.0   (choice E)</h3>

=============================================

Work Shown:

\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (2,6,4,8) = \frac{2*6 + 4}{8}\\\\\perp (2,6,4,8) = \frac{12 + 4}{8}\\\\\perp (2,6,4,8) = \frac{16}{8}\\\\\perp (2,6,4,8) = 2\\\\

Let m = 2 so we can use this result later.

\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\

Let n = 5 so we can use this result later.

Add the two results.

m+n = 2 + 5 = 7.0 is the final answer.

5 0
2 years ago
What is 49.2 L in mL
Agata [3.3K]

42.9 * 1000

= 42900 ml

5 0
2 years ago
Help me plz .........<br>.​
ankoles [38]

Answer:

99

Step-by-step explanation:

(40+49)+10=89+10=99

6 0
2 years ago
Other questions:
  • In an exponential notation what is the base number
    13·1 answer
  • In​ March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cos
    12·1 answer
  • Is 7/54 irrational<br>is 20.455566 irrational <br>is 97.33997 irrational <br>is 5.6213 rational ​
    11·1 answer
  • What does it mean to approximate the zeros? And how would I do that?
    14·1 answer
  • What is the volume of the composite shape?(please enter your answer as a number without a unit)
    9·1 answer
  • I’m just checking this, can someone who knows math please tell me the value of Y and W. Thank you!
    10·1 answer
  • A triangle is placed in a semicircle with a radius of 2 yd, as shown below. Find the area of the shaded region. Use the value 3.
    8·1 answer
  • How do you find the ratio of x and y coordinates
    15·1 answer
  • Which quadrant will (30,-45) fall into?
    15·2 answers
  • Please help me find the solution
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!