# What are consecutive integers?

QUESTION POSTED AT 10/10/2019 - 07:34 PM

QUESTION POSTED AT 10/10/2019 - 07:34 PM

Consecutive integers are integers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive integers, the mean and the median are equal. If n is an integer, then n, n+1, and n+2 would be consecutive integers. Examples.

The set of integers which form a Pythagorean triple is:

**5,12,13**

We are asked to find the set of integers such that they form a Pythagorean triplets.

Three integers a,b,c are said to form a Pythagorean triplets if they satisfy the property:

**1)**

3,5,6

and

Hence option: 1 is **incorrect.**

**2)**

5, 12, 13

and

This means:

Hence, option 2 is **correct.**

**3)**

15,9,17

Also,

Hence, option 3 is **incorrect.**

**4)**

6,8,12

and:

Hence, option 4 is** incorrect.**

ANSWERED AT 17/10/2019 - 09:23 AM

QUESTION POSTED AT 17/10/2019 - 09:23 AM

B. Or {14, 16, 18, 22}

ANSWERED AT 17/10/2019 - 08:49 AM

QUESTION POSTED AT 17/10/2019 - 08:49 AM

The integers would be 15, 17, 19. 15+17=32x2=64 19x3+57 64-57= 7 Your answer would be 19

ANSWERED AT 17/10/2019 - 07:28 AM

QUESTION POSTED AT 17/10/2019 - 07:28 AM

**Answer:**

**Step-by-step explanation:**

Rational number comprehends fractions and decimal numbers. But, in order to be decimal and rational, the number has to have a finite number of decimals or infinite but periodic decimals, on the contrary case they are irrational.

ANSWERED AT 17/10/2019 - 07:27 AM

QUESTION POSTED AT 17/10/2019 - 07:27 AM

The three numbers are 43,45,47

The smallest is 43.

please vote my answer branliest. Thanks!

The smallest is 43.

please vote my answer branliest. Thanks!

ANSWERED AT 17/10/2019 - 07:20 AM

QUESTION POSTED AT 17/10/2019 - 07:20 AM

The answers are

A.) 89

B.)45

C.)9

A.) 89

B.)45

C.)9

ANSWERED AT 17/10/2019 - 06:41 AM

QUESTION POSTED AT 17/10/2019 - 06:41 AM

Hey there! Can you express (using mathematics) what it means for the first statement? That is, when n is divided by 167 the remainder is 35.

ANSWERED AT 17/10/2019 - 06:02 AM

QUESTION POSTED AT 17/10/2019 - 06:02 AM

N, (n+2), (n+4) are the 3 consecutive odd integers. Now we have

n+ (n+4) = 26

2n+4 = 26

2n = 22

n = 11.

So now the numbers are n, (n+2), (n+4), or

11, 13, 15

n+ (n+4) = 26

2n+4 = 26

2n = 22

n = 11.

So now the numbers are n, (n+2), (n+4), or

11, 13, 15

ANSWERED AT 17/10/2019 - 05:21 AM

QUESTION POSTED AT 17/10/2019 - 05:21 AM

for some integers . So we have

(where is some integer)

i.e. the remainder upon dividing by 167 is 87.

ANSWERED AT 17/10/2019 - 05:10 AM

QUESTION POSTED AT 17/10/2019 - 05:10 AM

We are being asked what would be the greatest value of x that would satisfy the expression 8.904x < 18.037. Let us try both 1 and 2, the solution is shown below:

For x=1, we have:

8.904 *1 < 18.037

8.904 < 18.037

For x=2, we have:

8.904*2 < 18.037

17.808 < 18.037

We could see the solution that the greatest possible value of x is 2.

For x=1, we have:

8.904 *1 < 18.037

8.904 < 18.037

For x=2, we have:

8.904*2 < 18.037

17.808 < 18.037

We could see the solution that the greatest possible value of x is 2.

ANSWERED AT 17/10/2019 - 05:03 AM

QUESTION POSTED AT 17/10/2019 - 05:03 AM

45=k√5

times both sides by √5

45√5=5k

divide both sides by 5

9√5=k

times both sides by √5

45√5=5k

divide both sides by 5

9√5=k

ANSWERED AT 17/10/2019 - 03:39 AM

QUESTION POSTED AT 17/10/2019 - 03:39 AM

If a and b are two fixed integers this means the equations is a straight line where x values could be any number within (-∞,∞). So we can evaluate any two numbers to obtain a set of two different equations to solve the system for a and b. The number we will try are 0 and 1:

For 0 (Equation #1)

For 1 (Equation #2)

We can solve the system by replacing equation #1 in equation #2 like this:

Now we can replace the value of a in equation #1

ANSWERED AT 17/10/2019 - 03:38 AM

QUESTION POSTED AT 17/10/2019 - 03:38 AM

A = -6

b = 48

Hope this helps :)

b = 48

Hope this helps :)

ANSWERED AT 17/10/2019 - 03:35 AM

QUESTION POSTED AT 17/10/2019 - 03:35 AM

Odd integers are 2 apart

so they are

n,n+2,n+4

so sum is add

n+n+2+n+4=-411

3n+6=-411

mnus both sides

3n=-417

divide both sides by 3

n=-139

n+2=-137

n+4=-135

the numbres are -139, -137, -135

so they are

n,n+2,n+4

so sum is add

n+n+2+n+4=-411

3n+6=-411

mnus both sides

3n=-417

divide both sides by 3

n=-139

n+2=-137

n+4=-135

the numbres are -139, -137, -135

ANSWERED AT 17/10/2019 - 03:33 AM

QUESTION POSTED AT 17/10/2019 - 03:33 AM

That is

distance=rate times time

rate=320ft/m

time=3m

distance=320ft/m times 3m

distance=960ft

the total change is 960ft

distance=rate times time

rate=320ft/m

time=3m

distance=320ft/m times 3m

distance=960ft

the total change is 960ft

ANSWERED AT 17/10/2019 - 03:33 AM

QUESTION POSTED AT 17/10/2019 - 03:33 AM

**the correct answer to this question is 12**

ANSWERED AT 17/10/2019 - 03:32 AM

QUESTION POSTED AT 17/10/2019 - 03:32 AM

The answer is D hope it fits you well

ANSWERED AT 17/10/2019 - 03:16 AM

QUESTION POSTED AT 17/10/2019 - 03:16 AM

So you have **8** digits (number available) to form **3** digit numbers (number selected).

Using the formula where a is the number of available digits, P is the permutation function and c is the number of digits to be selected.

The number of three digit numbers that can be formed =

=**336**

** **** O R**

By using the formula where a is the number of available digits and c is the number of digits to be selected.

⇒

⇒

⇒ Permutation =**336**

Using the formula where a is the number of available digits, P is the permutation function and c is the number of digits to be selected.

The number of three digit numbers that can be formed =

=

By using the formula where a is the number of available digits and c is the number of digits to be selected.

⇒

⇒

⇒ Permutation =

ANSWERED AT 17/10/2019 - 01:43 AM

QUESTION POSTED AT 17/10/2019 - 01:43 AM

We have two slots A and B

Slot A has 4 choices (2,4,5,8)

Once we make a choice, we can't reuse it. So we have 3 choices left for slot B

Multiply out the values mentioned above to get: 4*3 = 12

Alternatively you can use the nPr formula to get

n P r = (n!)/(n-r)!

4 P 2 = (4!)/(4-2)!

4 P 2 = (4!)/(2!)

4 P 2 = (4*3*2*1)/(2*1)

4 P 2 = 24/2

4 P 2 = 12

yielding the same answer

So no matter which method you use,**the final answer is 12**

Slot A has 4 choices (2,4,5,8)

Once we make a choice, we can't reuse it. So we have 3 choices left for slot B

Multiply out the values mentioned above to get: 4*3 = 12

Alternatively you can use the nPr formula to get

n P r = (n!)/(n-r)!

4 P 2 = (4!)/(4-2)!

4 P 2 = (4!)/(2!)

4 P 2 = (4*3*2*1)/(2*1)

4 P 2 = 24/2

4 P 2 = 12

yielding the same answer

So no matter which method you use,

ANSWERED AT 17/10/2019 - 01:43 AM

QUESTION POSTED AT 17/10/2019 - 01:43 AM

A. It's a trick question, if there is two people per row excluding the very top, then there should only be two in the seventh row.

B. there would be 15 total people in the seventh row.

If it's 1 person on top and 2 people each row, that would be 1+2(x)

1+2(x)

1+2(7)

1+14

=15

C. If it's the same way then we would just use the same equation.

1+2(x)

1+2(10)

1+20

=21

There would be a total of 21 people in the pyramid.

D. We would just need to subtract 4 from 37 repeatedly to find how many rows.

I did the math and it is 10 people since we can't have half a person.

E. If the bottom row has 37 and we know that it is 4 people up each time, and there are a total of 10 rows roughly, then we can safely assume there are 40 people + the bottom row 37 which is 77 people total.

I know I may not be right, but I hope this helps.

- Kathryn Irene

B. there would be 15 total people in the seventh row.

If it's 1 person on top and 2 people each row, that would be 1+2(x)

1+2(x)

1+2(7)

1+14

=15

C. If it's the same way then we would just use the same equation.

1+2(x)

1+2(10)

1+20

=21

There would be a total of 21 people in the pyramid.

D. We would just need to subtract 4 from 37 repeatedly to find how many rows.

I did the math and it is 10 people since we can't have half a person.

E. If the bottom row has 37 and we know that it is 4 people up each time, and there are a total of 10 rows roughly, then we can safely assume there are 40 people + the bottom row 37 which is 77 people total.

I know I may not be right, but I hope this helps.

- Kathryn Irene

ANSWERED AT 17/10/2019 - 01:31 AM

QUESTION POSTED AT 17/10/2019 - 01:31 AM

The two numbers are -4 and -6.

- two negatives make a positive. in this case -4×-4 equals 16 and -6×-6 equals 36. these are the squares

- 16+36 equals 52

please vote my answer branliest. Thanks!

- two negatives make a positive. in this case -4×-4 equals 16 and -6×-6 equals 36. these are the squares

- 16+36 equals 52

please vote my answer branliest. Thanks!

ANSWERED AT 17/10/2019 - 01:22 AM

QUESTION POSTED AT 17/10/2019 - 01:22 AM

What integer can represent 13 positive tiles?

**+ 13**

What integer can represent 26 negative tiles?

**- 26**

ANSWERED AT 17/10/2019 - 01:17 AM

QUESTION POSTED AT 17/10/2019 - 01:17 AM

An integer is a number. He lost twelve yards, not gained, so it would be negative, not positive. Thus, the integer would be -12 yards.

ANSWERED AT 17/10/2019 - 01:16 AM

QUESTION POSTED AT 17/10/2019 - 01:16 AM

The probability is 1/4 because there are 20 numbers (?/20) and 5 are divisible by four (-4,-8,-12,-16,-20) which makes 5/20 which simplified = 1/4.

ANSWERED AT 17/10/2019 - 01:05 AM

QUESTION POSTED AT 17/10/2019 - 01:05 AM

The answer would be C because it is the function is increasing and the start is 100 so all domains must be over or equal to 100.

ANSWERED AT 16/10/2019 - 11:44 PM

QUESTION POSTED AT 16/10/2019 - 11:44 PM

Since i:n=2:3 we can say that:

100(2/(2+3))

100(2/5)

40%

100(2/(2+3))

100(2/5)

40%

ANSWERED AT 16/10/2019 - 11:24 PM

QUESTION POSTED AT 16/10/2019 - 11:24 PM

Answer is

B. No, because if you start at –75 on a number line, and then move 21 spaces to the left, you will get –96.

B. No, because if you start at –75 on a number line, and then move 21 spaces to the left, you will get –96.

ANSWERED AT 16/10/2019 - 11:06 PM

QUESTION POSTED AT 16/10/2019 - 11:06 PM

We can use the Cosine Law:

c² = a² + b² - 2 ac cos C

180² = 50² + x² - 2 · 50 · x · cos 150°

32,400 = 2,500 + x ² - 100 x · ( - √3/2 )

32,400 - 2.500 - x² = 100 x · 0.866

29,900 - x² = 86.6 x

- x² - 86.6 x + 29,900 = 0 / · ( - 1 )

x² + 86.6 x - 29,900 = 0

x 1/2 = ( - 86.6 +/- √(86.6² + 4 · 1 · (-29,900) )) / 2

x = ( - 86.6 + 356.6 )/ 2 ( other solution is negative )

x = 135

Answer: C ) 135 miles/hour

c² = a² + b² - 2 ac cos C

180² = 50² + x² - 2 · 50 · x · cos 150°

32,400 = 2,500 + x ² - 100 x · ( - √3/2 )

32,400 - 2.500 - x² = 100 x · 0.866

29,900 - x² = 86.6 x

- x² - 86.6 x + 29,900 = 0 / · ( - 1 )

x² + 86.6 x - 29,900 = 0

x 1/2 = ( - 86.6 +/- √(86.6² + 4 · 1 · (-29,900) )) / 2

x = ( - 86.6 + 356.6 )/ 2 ( other solution is negative )

x = 135

Answer: C ) 135 miles/hour

ANSWERED AT 16/10/2019 - 10:59 PM

QUESTION POSTED AT 16/10/2019 - 10:59 PM

Solve for n by simplifying both sides of the equation, then isolating the variable:

N + (n + 2) + (n + 4) = 42

N = 12

N + (n + 2) + (n + 4) = 42

N = 12

ANSWERED AT 16/10/2019 - 10:18 PM

QUESTION POSTED AT 16/10/2019 - 10:18 PM

N+(n+2)+(n+4)=42

isolate n

n+(n+2)+(n+4)-(n+2)=42-(n+2) n+(n+4)=42-n-2 n+(n+4)=40-n

n+(n+4)-(n+4)=40-n-(n+4) n=40-n-n-4 n=36-2n

n+2n=40-2n+2n

3n/3=40/3

n=12

isolate n

n+(n+2)+(n+4)-(n+2)=42-(n+2) n+(n+4)=42-n-2 n+(n+4)=40-n

n+(n+4)-(n+4)=40-n-(n+4) n=40-n-n-4 n=36-2n

n+2n=40-2n+2n

3n/3=40/3

n=12

ANSWERED AT 16/10/2019 - 10:18 PM

QUESTION POSTED AT 16/10/2019 - 10:18 PM