There are 3 consecutive even integers. Let x be the smallest number. i. Express the other two integers in terms of x ii. If the sum of these 3 integers is 66, find the integers.
1. There are 3 consecutive even integers. Let x be the smallest number. i. Express the other two integers in terms of x ii. If the sum of these 3 integers is 66, find the integers.
(x) + (x+2) + (x+4) = 66
3x + 6 = 66
3x = 66 - 6
3x = 60
x = 60 ÷ 3
x = 20
x = 20
x + 2 = 22
x + 4 = 24
2. Suppose that the sum of n consecutive integers (included positive integers, 0 and negative integers) is 55, find the largest value of n.
1+2+3....m=½m(m+1)
-1-2-3....-k=-½k(k+1)
m=54
k=54
sm+sk=0
max n
-54-53-...-3-2 -1+0 1+2+3...54= 0
-54-53-...-3-2 -1+0+1+2+3...54 +55=55
n=2*54+2=110
3. Find three consecutive odd integers such that the sum of the first, two times of the second, and three times of the third is 70.
Jawab:
PenjelasanTemukan tiga bilangan bulat ganjil yang berurutan sehingga jumlah dari yang pertama, dua kali yang kedua, dan tiga kali yang ketiga adalah 70. dengan langkah-langkah:
MAAF HANYA INI SAJA YANG BISA SAYA BANTU:)
4. If the sum of three consecutive numbers is 72, what is the largest number? *this is algebra word problem
X+x+1+x+2=72
3x=72-2-1
3x=69
X=23
Largest number :
X+2
23+2
25
5. the sum of 2 consecutive positive integers and their product is 271. Find the intergers
x + (x+1) + x(x+1) = 271
2x + 1 + x^2 + x = 271
x^2 + 3x - 270 = 0
(x+18) (x-15)
x = -18 or x = 15
(x+1) = - 17 or x = 16
SEMOGA MEMBANTU
MAAF APABILA ADA KESALAHAN
6. the sum of the squares of two consecutive even integers is 340 find the two numbers
x^2+(x+1)^2 = 85
x^2+x^2+2x+1 = 85
2x^2+2x-84 = 0
(2x - 12)(x+7) = 0
2x = 12 atau x = -7
If x = 6 maka x+1 = 7
If x = -7 maka x+1 = -6
Thus, the numbers are 6 and 7 or -7 and -6
7. the sum of three consecutive terms x,y and z of an arithmetic progression is 45.if y=1/2(x+z),find the value of y.
since they are consecutive, so
[tex]x=y-d,z=y+d[/tex] where d is a constant different of arithmetic sequence
[tex]x+y+z=45\\(y-d)+y+(y+d)=45\\3y=45\\y=15[/tex]
8. ________ are numbers that represents the products of consecutive positive integers.
Jawabannya: zero (nol)
Pesan: maaf kalau salah, semoga membantu
9. The sum of three consecutive odd numbers is 111. Find the product of the 3 numbers.
Because they're only odd numbers, the gap is 2.
n + (n+2) + (n+4) = 111
3n + 6 = 111
n = 105 / 3
n = 35
--
The numbers are 35, 37, and 39 (n, n+2, and n+4)
<3
~CrystalMeth@brainly.co.id
10. Verify the truth value of the following statements and justify your answer. (a). [5 points] Suppose m and n are integers such that m = 9n. If m is not a perfect square, then n is not a perfect square. (b). [5 points] Let n, a, b, c be integers such that n = abc. If n is even, then one of a, b, or c must be even. PROOF/COUNTEREXAMPLE:
Jawab:
A. Buktikan jika m dan n adalah bilangan bulat maka m = 9n. Jika m bukan kuadrat sempurna maka n juga bukan kuadrat sempurna
misalkan : m = 54
n = 6
maka : m = 9n
54 = 9 (6)
54 = 54
Kesimpulan : Statement benar
B. Misalkan n, a, b, c adalah bilangan bulat.
Jika n = a . b . c
dan n adalah bilangan ganjil.
Maka, salah satu dari a, b atau c adalah ganjil.
Jawab :
n = bilangan ganjil
misalkan n = 21
n = a . b . c
misalkan n = 2 . 3 . 4
n = 6 . 4
n = 24
n = a . b . c
21 = 24
Kesimpulan : statement salah
11. let Sn, be the sum of the first n terms of the airthmetic series 2+4+6... (a) find S4
2 + 4 + 6 + ... + Un
⇒ a = 2, b = 4 - 2
maka
Sn = (n/2)(2a + (n - 1)b)
⇒ Sn = (n/2)(2(2) + (n - 1)2)
⇒ Sn = (n/2)(4 + 2n - 2)
⇒ Sn = (n/2)(2n + 2)
⇒ Sn = (n/2) · 2(n + 1)
⇒ Sn = (n)(n + 1)
Jadi,
S4 = 4(4 + 1)
⇒ S4 = 4 · 5
⇒ S4 = 20
Terimakasih semoga membantu2 + 4 + 6 + ...
a = 2 (first term)
d = 2 (difference of the term)
S4 = (n/2)(2a + (n - 1)d)
= (4/2)(2.2 + (4 - 1)2)
= 20
12. There are 3 times as many children as adults. a) Let n be the number of adults. Express the number of children in terms of n b) Let m be the number of children. Write down a formula connecting m and n
Answer :
n = 3m
Explanation:
m = children
n = adult
there are three times as many children as adult = if there's 2 adult there will be 6 children (2 x 3), or if there are 4 adult there will be 12 children (4 x 3) = n = 3m
im sorry if im wrong
13. What is the greatest number of consecutive integers whose sum is 45 ?
Jawaban:
49
47 + 48 + 49 = 144
The greatest number = 49
14. can be defined in the middle of town is meaning of.....
Penjelasan:
tidak dapat didefinisikan di tengah kota
15. The sum of two consecutive positive integers is greater than 26 and less than 37. Find all possible values of the smaller of the two integers
Jawab:
Penjelasan dengan langkah-langkah:
16. Let p; q be the solutions of the quadratic equation x^2 - 2mx - 5n = 0 and let m; n be the solutions of x^2 - 2px - 5q = 0. Then the value of p + q + m + n is ....
p + q = -b/a = -(-2m)/1 = 2m
m+n = -b/a = -(-2p)/1 = 2p
p + q + m + n = 2m + 2p = 2(m + p)
17. the sum of integers is 82,and the different is 26.the multiplication of those integers is
A + B = 82
A - B = 26
A = [tex] \frac{(82 + 26)}{2} [/tex] = 54
B = 54 - 26 = 28
A x B = 54 x 28 = 1512
18. Let it be, let it be, let it be, lrt it be Whisper word of wisdom Let it be (Let It Be, by The Beatles) The verse above uses . . . Pilihan jawaban A. alliteration B. simile C. hyperbole D. metaphor E. assonance
Jawaban:
Let it be, let it be, let it be, let it be
Whisper word of wisdom
Let it be
(Let It Be, by The Beatles)
The verse above uses assonance (E).
Penjelasan:
A. alliteration : the occurrence of the same letter or sound at the beginning of adjacent or closely connected words.
B. simile : a figure of speech that compares two different things in an interesting way. A simile uses the words "like" or "as" to draw a comparison.
C. Hyperbole: a figure of speech that uses extreme exaggeration to make a point or show emphasis. It is the opposite of understatement.
D. Metaphor: a metaphor simply states the comparison without using "like" or "as".
E. Assonance: the repetition of vowel sounds in nearby words.
Pelajari lebih lanjut mengenai contoh poetry menggunakan rhyme, alliteraration and assonance pada https://brainly.co.id/tugas/8314946
#BelajarBersamaBrainly
19. what is the least number of consecutive positive integers that add up 1000? what are these integers?(tlong pakai cara) trimkasih
herobrine and nulll man90
20. Let p; q be the solutions of the quadratic equation x^2 - 2mx - 5n = 0 and let m; n be the solutions of x^2 - 2px - 5q = 0. If p 6= q 6= r 6= s, then the value of p + q + m + n is ....
pembahasan terlampir
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