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
Evgen [1.6K]
3 years ago
12

If a and b are odd integers, then a – b is an even integer.

Mathematics
2 answers:
Readme [11.4K]3 years ago
6 0
So the answer choices are
1. a-b=even
2. a and b are not odd
3. a and b are odd
4. a-b=even
5. a-b=not even

even=not odd
not even=odd so choice 5 is really a-b=odd
basically choice 4 and 1 are the same so we cross one out
so
the problem said that a and b are odd so therefor choice2 is wrong and choice 3 is correct

then both are odd
odd-odd=even because
an even number is represented as 2n where n is an integer
an odd number can be represented as 2n+1 so assume you have 2 odd numbers 2 away from each other so odd and (odd+2)
odd+2-odd=2n+1+2-(2n+1)=2n+1+2-2n-1=2n-2n+1-1+2=2
you are left with odd
using integers
7 and 11
11-7=4
even

so odd-odd=even, it depends on weather you consider 0 odd or even


so the asnwers are:
a and b are odd
a-b is not an even integer
enot [183]3 years ago
4 0

Answer:

a and b are not odd integers

a – b is not an even integer

You might be interested in
One watering system needs about three times as long to complete a job as another warning system when both systems operate at the
algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = 3x

Rate to complete the job by another watering system = \frac{1}{x}\ job/min

Rate to complete the job by One watering system = \frac{1}{3x}\ job/min

Rate at which both can complete the job = \frac{1}{9}\ job/min

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

\frac{1}{x}+\frac{1}{3x}=\frac19

Now taking LCM to make the denominator common we get;

\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}

By Cross multiplication we get;

4\times9 =3x\\\\3x =36

Dividing both side by 3 we get;

\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min

Time required by One watering system = 3x =3\times 12 =36\ min

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0
3 years ago
Use the context of a 24-pack of soda to explain why 3/8 is NOT equivalent to 4/12.
Vsevolod [243]

Answer:

Step-by-step explanation:

if we're going by a 24 pack of soda, 3/8 would be 9 sodas while 4/12 is a third, which would be 8 sodas

4 0
3 years ago
An angle measures 18.6° less than the measure of its complementary angle. What is the measure of each angle?
weeeeeb [17]

Answer:

X = 35.7 Y=54.3

Step-by-step explanation:

Let the 2 angles be called X and Y were X is the smaller angle

we know that both angles are complementary therefore
X+Y=90

X = Y - 18.6 ( Given )

Y - 18.6 + Y = 90 ( substitution)

2Y = 90 + 18.6

Y = 108.6/2

Y=54.3

X= Y-18.6= 54.3-18.6 = 35.7

Check : X + Y = 35.7+54.3=90

6 0
2 years ago
Angela took 56 minutes to take her history test brian took 70% of the time that it took angela to complete the test . How long d
zheka24 [161]

Answer: 39.2 minutes

Step-by-step explanation:

Angela used 56minutes. Brain used 70% of Angela's time which will be 70% of 56.

70/100 × 56 = 39.2 minutes.

Therefore, Brian used 39.2 minutes for the test.

6 0
3 years ago
Read 2 more answers
Simplify:<br> ly - 2x - 3y + 4x
vitfil [10]
2x-2y
I couldn’t tell if the first figure was a one or a L or i so I solved it as a 1
3 0
2 years ago
Read 2 more answers
Other questions:
  • The Sum Of Two Numbers Is 50 And The Difference Is 18. What Are The Numbers?
    10·1 answer
  • WORTH 20 POINTS!! HELP!!!
    7·1 answer
  • Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container
    13·2 answers
  • 3x + 43 = 4x + 2(4 + 2)
    9·2 answers
  • A lamp shade has a radius of 9 inches. What is the circumference of the top of the shade? Use 3.14 to approximate pi. Round your
    15·2 answers
  • Tina makes 480 sandwiches 3/8 of the sandwiches are tuna and 35% of the sandwiches are beef. The ratio of the number of ham sand
    14·1 answer
  • PLEASE HELP!! <br> Solve for m<br> m+7=3+m+4
    6·1 answer
  • 2x+4-2-3x, A)Qual o segundo<br> membro desta equação?​
    13·1 answer
  • What fraction is equivalent to .7?
    13·2 answers
  • What is the sum of 1 2/16 + .6 + (-½)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!