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scoundrel [369]
3 years ago
14

Jonas is given a test question asking him to show that the sum of two integers is always an even integer which choice is the bes

t proof of his conjecture
Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0

Answer:

Whats the answer choices?

Step-by-step explanation:


nirvana33 [79]3 years ago
5 0

Answer:

Every time you add two odd numbers, the sum is an even number.

Look at these different examples: 5 + 3 = 8, 15 + 7 = 22, 21 + 13 = 34. So the sum of two odd numbers must be even.

Let a and b both represent odd numbers, and let a + b be an even number. Therefore, a + b = b + a, which shows that the sum of two odd numbers is even.

Let (2a + 1) be one odd number, and let (2b + 1) be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is a multiple of 2, it is an even number.

Step-by-step explanation:

those are the answer choices

You might be interested in
Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
Andru [333]

Answer:

-3x + y = 8.

3y = 9x.

Step-by-step explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c   (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8  - slope is 3 so this is parallel to  y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x  - so this is also parallel to 3x + 5.

y = -jx  The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6  - Not parallel.

3 0
3 years ago
Solve fraction 2/3x -1/2=1/6x-1/9
dezoksy [38]

Answer:

Exact Form: x=7/9  Decimal Form: 0.7 (repeating)

Step-by-step explanation:

Hope this helps!! :)

7 0
3 years ago
A garden is in the shape of a square with a perimeter of 56 feet. The garden is surrounded by two fences. One fence is around th
kow [346]
I think it $19.74
here my reason 14×4=56
14×1.41=19.74
each side of the square is 14
and it say $1.41 for per foot so multiply that with 14 = to 19.74
idk that my reason
6 0
4 years ago
A motorboat left a harbor and traveled to an island at an average rate of 13 knots. The average speed on the return trip was 10
vlada-n [284]

Answer:

The distance between harbor & the island D = 72.12 km

Step-by-step explanation:

Let the total distance between harbor & island = D

Motor boat going to the island at speed S_{1} = 13 knots = 24 \frac{km}{hr}

Return speed of the motorboat S_{2} = 10 knots = 18.52 \frac{km}{hr}

The total time taken for both journey = 6.9 hours

\frac{D}{S_{1} } + \frac{D}{S_{2} } = 6.9

\frac{D}{24} + \frac{D}{18.52} = 6.9

D (\frac{1}{24} + \frac{1}{18.52} ) = 6.9

D ( 0.0956 ) = 6.9

⇒ D = 72.12 km

This is  the distance between harbor & the island.

4 0
3 years ago
If a train travels 70 miles per hour how long will it take it to travel 350 miles at this speed
svetoff [14.1K]
Since the train travels at a rate of 70 miles/hour, the train will take 5 hours to have traveled a total of 350 miles. The missing information in the question you've proposed is the value of "H" or the number of hours (as the unit hours is indicated in the question). This can be determined with the formula <em>Distance = rate X time. </em>350 = 70 X H, in this case. To isolate the variable H, 70 (the rate) divides 350 (the total distance) into 5. 350 ÷ 70 = H. 5 = H, the amount of time spent traveling for 350 miles at a rate of 70 miles/hour.

4 0
3 years ago
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