The sum of two numbers is 48. if the smaller number is one fifth of the larger number, find the two numbers.minta rumus aja :)
1. The sum of two numbers is 48. if the smaller number is one fifth of the larger number, find the two numbers.minta rumus aja :)
Misalkan angka pertama adalah A dan angka kedua B jumlah A dan B = 48
nah sisanya pikir sendiri ;P ok trims
2. The difference between two numbers is three. If the square of the smaller number is equal to four times the larger number, find the two numbers
Penjelasan dengan langkah-langkah:
Suppose
x = smaller number
y = larger number
Difference between two numbers is three
x - y = 3
x = y + 3
Square of the smaller number is equal to four times the larger number
x² = 4y
4y = x²
4y = y² + 6y + 9
y² + 6y + 9 = 4y
y² + 2y + 9 = 0
Using the abc's formula, we know that y isn't real numbers. So we can't find the value of x and y.
3. There are two numbers. The sum of the larger number and three times the smaller number is 14. The larger number is two more than the smaller number.
Jawaban:
Ini
Penjelasan dengan langkah-langkah:
Ada dua nomor. Jumlah bilangan yang lebih besar dan tiga kali bilangan yang lebih kecil adalah 14. Jumlah yang lebih besar adalah dua lebih banyak dari pada bilangan yang lebih kecil.
4. The sum of the squares of two consecutive positive numbers is 1105. Find the numbers.Help meee
Terdapat dua bilangan positif berurutan. Jumlah kuadrat kedua bilangan tersebut bernilai 1105. Analisis persamaan kuadrat memberikan solusi bahwa tidak ada dua bilangan positif berurutan yang memenuhi.
Penjelasan dengan langkah-langkahDiketahui:
Terdapat dua bilangan positif berurutan.
Jumlah kuadrat kedua bilangan tersebut bernilai 1105.
Ditanya: kedua bilangan tersebut
Jawab:
PemisalanMisalkan kedua bilangan tersebut termasuk bilangan bulat. Misalkan pula bilangan pertama adalah x, maka bilangan kedua yang lebih besar adalah x+1.
PersamaanJumlah kuadrat kedua bilangan tersebut bernilai 1105, dapat diubah ke dalam persamaan berikut:
x²+(x+1)² = 0
x²+x²+2x+1 = 0
2x²+2x+1 = 0
x²+x+0,5 = 0
DiskriminanKoefisien x² dan x-nya sama-sama bernilai 1, sedangkan konstantanya bernilai 0,5.
D = 1²-4·1·0,5 = 1-2 = -1 < 0
KesimpulanKarena diskriminannya bernilai negatif, maka persamaan kuadrat tersebut tidak memiliki akar real. Jadi, tidak ada dua bilangan positif berurutan yang jumlah kuadratnya bernilai 1105.
Pelajari lebih lanjutMateri tentang Soal Cerita Persamaan Kuadrat (Menentukan Ukuran Kebun yang Berbentuk Persegi Panjang) pada https://brainly.co.id/tugas/33272145
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#SPJ1
5. The sum of two numbers is 20. Their difference is 4. Find the two numbers.
Jawab:
Hari/Tanggal: Rabu, 15 Desember 2020
Jam: 08.57 WIB
____________________________________
a + b = 20
Difference is 4 (a - b)
So,
Elimination~
a + b = 20
a - b = 4
_________-
b + b = 16
2b = 16
b = 16/2
b = 8
Subtitution~
a - b = 4
a - 8 = 4
a = 4 + 8
a = 12
a = 12
b = 8
12 - 8 = 4
and
12 + 8 = 20
it's right :^
May Be Useful ^^
The two numbers are 12 and 8 .
PembahasanDiketahui :
The sum of two numbers is 20. Their difference is 4.
Ditanya :
Find the two numbers.
Jawab :
[tex]\text{Let two numbers are} \: \: x \: \: \text{and} \: \: y \: . \\ \\[/tex]
The sum of two numbers is 20.
[tex]x + y = 20 \\ \\ [/tex]
Their difference is 4.
[tex]x - y = 4 \\ \\ [/tex]
[tex]\text{Eliminate} \: \: y \: \: \text{to find} \: \: x \: .\\ \\ [/tex]
[tex]\begin{aligned}\\&x + y = 20\\ &x - y = 4\end{aligned} \\ \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } + \\ \begin{aligned}\\ \: 2x& = 24 \\ \: x& = 12\end{aligned} \\ [/tex]
Substitute x = 12 to equality x - y = 4
We get
[tex]x - y = 4 \\ \\ 12 - y = 4 \\ \\ y = 12 - 4 \\ \\ \boxed{y = 8} \\ \\ [/tex]
Kesimpulan :
The two numbers are 12 and 8 .
Pelajari Lebih LanjutHarga sebuah buku dan sebatang pensil
https://brainly.co.id/tugas/2267517
Himpunan penyelesaian persamaan linear dua variabel
https://brainly.co.id/tugas/13167709
Menyelesaikan persamaan linear dua variabel dengan metode substitusi
https://brainly.co.id/tugas/1495704
======|==|==|==|==|==|==|========
Detail JawabanKelas : 8
Mapel : Matematika
Materi : Sistem persamaan linear dua variabel
Kode Kategorisasi : 8.2.5
Kata Kunci : SPLDV, eliminate, substitute, sum, difference
6. two numbers are in the ratio 8 : 7. If the sum of these two numbers is 450, find the numbers.
First number=240
second number=210
7. The sum of two numbers is 27. One of the numbers exceeds the other by 9. Find the numbers.
Jawaban:
The numbers are 9 and 18
Penjelasan dengan langkah-langkah:
x + y = 27
y = x + 9
x + x + 9 = 27
2x + 9 = 27
2x = 18
x = 9
The first number: x = 9
The second number: y = x + 9 = 18
8. The arithmetic mean of two positive numbers exceeds their geometric mean by 50. By how much does the square root of the larger of the two numbers exceed the square root of the smaller? (A) 10 (B) 30 (C) 50 (D) 70 (E) 100
Jawab:
[tex]\displaystyle \frac{a+b}{2}=\sqrt{ab}+50\\a+b=2\sqrt{ab}+100\\a-2\sqrt{ab}+b=100\\(\sqrt a)^2-2\sqrt{ab}+(\sqrt b)^2=100\\(\sqrt a-\sqrt b)^2=100\\\sqrt a-\sqrt b=10[/tex]
Penjelasan:
[tex]\displaystyle \triangleright~X=\frac1n\sum^{n}_{i=1}x_i\\\triangleright~G=\sqrt[n]{\prod_{i=1}^nx_i}[/tex]
9. the sum of two numbers is 138 and their difference is 88.Find the two numbers
x+y=138.....pers 1
x-y=88........pers 2
x=88+y.......pers 3
substitusi pers 3 ke pers 1
x+y=138
88+y+y=138
88+2y=138
2y=138-88
2y=50
y=50/2
y=25 substitusikan ke pers 3
x=88+y=88+25=113
itu caranya. semoga membantu
10. The sum of two numbers is 27. One of the numbers exceeds the other by 9. Find the numbers.
Jawaban:
itu jawabannya ya maaf kl salah
Jawaban:
9 and 18
Penjelasan dengan langkah-langkah:
[tex]x = y + 9 \\ \\ x + y = 27 \\ (y + 9) + y = 27 \\ 2y + 9 = 27 \\ 2y = 27 - 9 \\ 2y = 18 \\ y = 9 \\ \\ x = y + 9 \\ x = 9 + 9 \\ x = 18[/tex]
11. The sum of two numbers is 63. The ratio of the two numbers is 4:5. Find the first number and the second number!
• first number :
4 / (4 + 5) x 63 = 28
• second number :
5 / (4 + 5) x 63 = 45
12. The sum of two numbers is 262. The difference between the two numbers is 22. Find the smaller number
Jawaban:
the smaller number is 120
Penjelasan dengan langkah-langkah:
a + b = 262
a - b = 22
eliminasi b
2 a = 284
a = 284/2 = 142
a + b = 262
142 + b = 262
b = 262-142 = 120
13. lionel is thinking of two numbers. the sum of twice the larger number and 4 times the smaller number is 40. twice the smaller number is 4 more than the larger number. find the larger number.
[tex]2l + 4s = 40 \\ 2s = l + 4 \\ 2l + 2s + 2s = 40 \\ 2l + l + 4 + l + 4 = 40 \\ 4l + 8 = 40 \\ 4l = 40 - 8 \\ 4l = 32 \\ l = \frac{32}{4} \\ l = 8 [/tex]
14. Lovely thinks of two prime numbers. Both numbers are bigger than 10. The sum of her numbers is 28. What are the two numbers that Lovely is thinking of?
Jawaban:
Lovely memikirkan dua bilangan prima. Kedua angka lebih besar dari 10. Jumlah angkanya adalah 28. Apa dua angka yang ada di pikiran Lovely?
Penjelasan dengan langkah-langkah:
maaf kalau salah
15. the sum of two numbers is 8. determine the two numbers such tat the sum of their squeres is minimized
what do you want to ask ???
16. Find the sum of these two numbers.
sum= penjumlahan
maka, 321+585= 906
So, the sum of those two numbers is 906semoga bermanfaat ^^
17. 18. The highest common factor of two numbers is 175. The lowest common multiple of these two numbers is 12 600 Both numbers are greater than their highest common factor. Find the two numbers.
Jawaban:
faktor persekutuan tertinggi dari dua bilangan adalah 175 . kelipatan persekutuan terkecil dari kedua bilangan tersebut adalah 12 600 kedua angka itu bagus than their highest common factor .find the two number
Penjelasan dengan langkah-langkah:
itu jawabanya maap kalau salah
18. 5. The difference between two numbers is 9 andthe product of the numbers is 162. Find thetwo numbers.
Jawaban:
HP={-18,9}
Penjelasan dengan langkah-langkah:
a-b=9...(1)
a = 9+b
a.b=162...(2)
(9+b)b=162
9b+b²=162
b²+9b-162=0
(b+18)(b-9)=0
b=-18 atau b=9
HP={-18,9}
Jawab:
Penjelasan dengan langkah-langkah:
assumed the numbers are A and B
B = A + 9
A x B = 162
A x (A + 9) = A² + 9A = 162 ⇒ A² + 9A - 162 = 0
(A + 18) (A - 9) = 0
A = {-18, 9}
B = { -9,18}
The two number are -18 and -9
or
9 and 18
19. he sum of two prime numbers is 85. What is the product of these two prime numbers
Dia jumlah dari dua bilangan prima adalah 85. Apa adalah produk dari dua bilangan prima ini.the prime numbers are 83 and 2
20. The difference between the two numbers is 36. The ratio of the two numbers is 7 : 3. What are the two numbers?
Penyelesaian:
Selisih=36
Rasio=7:3
----------------------------------------
Maka:
36×7/7-3
=252/4
=63
----------------------------------------
36×3/7-3
=108/4
=27
----------------------------------------
Bukti:
63-27
=36
----------------------------------------
[tex] \boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}} [/tex]
Selisih=36
Rasio=7:3
_________
Maka:
36×7/7-3
=252/4
=63
_________
36×3/7-3
=108/4
=27
_________
Bukti
63-27
=36
[tex].......[/tex]
: )
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