a number contains of two digits. the ones is two more than the tenth. if the sum of the ones and the tenth is six times the differences, then the number is
1. a number contains of two digits. the ones is two more than the tenth. if the sum of the ones and the tenth is six times the differences, then the number is
Jawab:
The number is 75
Penjelasan dengan langkah-langkah:
Misalnya :
puluhan = x dan satuan = y
maka menjadi xy
x = y + 2.....(1)
x+y = 6(x-y).....(2)
x+y = 6x - 6y
y + 6y = 6x - x
7y = 5x
y = 5/7x
disubstitusi ke pers 1
x = y + 2
x = 5/7x + 2
x - 5/7x = 2
2/7x = 2
x = 2 . 7/2
x = 7
disubstitusi ke pers 2
y = 5/7 x
y = 5/7 (7)
y = 5
The number is 75
Mapel: Matematika
Kelas: 8
Materi: operasi bentuk aljabar
Kata Kunci: aljabar
Kode soal: 2
Kode Kategorisasi : 8.2.1
2. The sum of 40 % of number A and 30 % of number B is 6. The sum of 25 % of number A and 15% of number B is 5. Accordingly, what is the value of A?
40%A+30%B=6
----------------------- x 100
40A+30B=600
4A,+3B=60
25%A+15%B=5
---------------------- x 100
25A+15B=500
5A+3B=100
4A+3B= 60
------------------ -
A = 40
3. the sum of three times a number and 11 is 32 .write the expression
Jawaban:
3x + 11 = 32
Penjelasan:
Three times a number = 3 kali suatu bilangan
Jadi the sum of three times a number and 11 is 32 bentuknya yaitu 3x + 11 = 32
4. The sum of a number and 78 is 92 . What is the number?
Jawaban:
x + 78 = 92
x = 92 - 78
x = 14
semoga membantuu
Jawab:x + 78 = 92
x = 92 - 78
x = 14
Penjelasan dengan langkah-langkah:maaf jika salah
jadikan jawaban yang terbaik ya
5. the average of seven numbers is 38.The sum of the first six number is 156.what is the seventh number?
Jawab:
x = seventh number
[tex]\frac{156+x}{7}[/tex] = 38
156+x = 38.7
156+x = 266
x = 266 - 156
x = 110
6. The sum of two numbers is 49.6. One of the number is 9 times the other number. ,What is the two number?
Jawab:
Penjelasan dengan langkah-langkah:
Kita beri permisalan angka pertama = a dan agka kedua = b
a+b=49,6
ax9=b
kita subtitusikan ax9=b ke dalam a+b=49,6
a+b=19,6
a+(ax9)=49,6
10a=49,6
a=4,96
b=ax9
=4,96x9
=44,64
7. The sum of three number is 109The second number is 4 times the first and the third is 8 less than the second . Find the three number.
Jawaban :
Pembahasan :
a + b + c = 109
b = 4a
c = b - 8
a + b + c = 109
a + 4a + b - 8 = 109
a + 4a + 4a - 8 = 109
9a - 8 = 109
9a = 109 + 8
9a = 117
a = 13
b = 4a
b = 4(13)
b = 52
c = b - 8
c = 52 - 8
c = 44
Detail Jawaban :
Mapel : Matematika
Kelas : 6
Materi : Aljabar
#AyoBelajar #BelajarBersamaBrainly
8. The sum of half of a number and 49 is 2¼ of the numbers. Find the number.
Jawab:
28
Penjelasan dengan langkah-langkah:
Ini kita bikin persamaan matematikanya dulu, ya. Baru dicari =
1/2x + 49 = 2 1/4x
1/2x + 49 = 9/4x (dikali 4)
2x + 196 = 9x
196 = 9x - 2x
196 = 7x
28 = x
Semoga membantu, yaa.
9. the sum of half of a number and 49 is 2 ¼ if the numbers .find the number
Jawab:
Penjelasan dengan langkah-langkah:
10. the average of seven numbers is 38.The sum of the first six number is 156.what is the seventh number?
it's totally easy. look, sum of whole numbers is 38*7 = 266. Hence, the seventh number is substraction of 266 and 156.
266 - 156 = 110
11. the sum of number and 6 is 31. Find the number
31 - 6 = 25
Jawabannya adalah 25
25 + 6 = 31
Maaf kalau salah
12. The sum of two numbers is 66.4. One number is 19 times the other number. What are the two numbers?
Jawaban:
Jumlah dari dua angka adalah 66,4. Satu angka sama dengan 19 kali angka lainnya. Apa
dua angka itu?
translate nya
Penjelasan dengan langkah-langkah:
tapi maaf kurang mengerti saya
13. the sum of 3 even number is 90 the sum of the biggest and the smallest number is
Jawaban:
jumlah dari 3 bilangan genap adalah 90 hasil penjumlahan dari bilangan terbesar dan terkecil
14. The sum of a number and twice the square of the number is 45. Find the number.
Penjelasan dengan langkah-langkah:
let the number = n
=>n+2n²=45
2n²+n-45=0
(2n-9)(n+5)=0
n=9/2orn=-5
goodluck
15. There are five positive numbers. The sum of the first and the fifth number is 15. the second number is ⅓ of the sum of these five numbers, the third number is ¼ of this sum and the fourth number is 1/5 of this sum. What is the value of the largest number? (Pakai cara)
example : the five positive numbers are a, b, c, d, and e,, the sum = x
a + e = 15
b = 1/3 x
c = 1/4 x
d = 1/5 x
otomatis a = 1/2 x dan e = 1/6 x
1/2 x + 1/6 x = 4/6 x = 2/3 x
a + e = 15
2/3 x = 15
x = 15 : 2/3
= 45/2
the value of the largest number is
a = 1/2 x = 1/2 ( 45/2 ) = 45
=>> 45
maaf kl salah
16. 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]
17. the average of seven numbers is 38.The sum of the first six number is 156.what is the seventh number?
Jawab: 110
Penjelasan dengan langkah-langkah:
The average of seven numbers is 38,
(rata-rata dari ketujuh nomor adalah 38)
38 comes from The Sum of seven numbers : 7 (total amount numbers)
(38 didapat dari jumlah ketujuh nomor dibagi 7 (banyaknya nomor) )
so, The Sum of seven numbers = 38x7 = 266
(maka, total jumlah dari ketujuh nomor adalah = 38x7 = 266)
The sum of the first - six number is 156,
(total jumlah nomor dari 1 sampai 6 adalah 156) => tertera di soal
The Sum of seven numbers = 38x7 = 266,
(Total jumlah keseluruhan nomor adalah 266)
so, The seven number is 266-156 = 110
maka, angka ke 7 adalah 266-156 = 110
18. The sum of one-fifth of a number and 3 7/10 is 7. Find the number.
Penjelasan dengan langkah-langkah:
penjumlahan 3 7/10
37/10=3,7
angkanya yang kurang adalah 3
19. The sum of two numbers is 20 and the sum of their squares is 272. Find the firstnumber
Jawab:
4 or 16
Penjelasan dengan langkah-langkah:
Let the numbers be x and y
x + y = 20
sum of their squares is 272 so x^2 + y^2 = 272
Find the first number,
We know that x^2 + y^2 = (x + y)^2 - 2xy
so 272 = 20^2 - 2xy
272 = 400 - 2xy
2xy = 128
xy = 64
We know that x + y = 20 and xy = 64, so we can make quadratic equation,
let a1 = x and a2 = y
a^2 - 20a + 64 = 0
(a - 16)(a - 4) = 0
a = 16 or a = 4
So the first number can be 4 or 16
If the first number less than the second, the answer is 4
Semoga terbantu :)
IG: @djie.jemmy
Jawab:
4 or 16Penjelasan dengan langkah-langkah:
If the first number is [tex]x[/tex] and the second one is [tex]y[/tex],
we can write:
[tex]x + y = 20[/tex]
[tex]x^{2} + y^{2} = 272[/tex]
Then
[tex]x = 20 - y[/tex]
Substitute [tex]x = 20 - y[/tex] to [tex]x^{2} + y^{2} = 272[/tex]
[tex](20 - y)^{2} + y^{2} = 272[/tex]
[tex]400 - 40y + y^{2} + y^{2} = 272[/tex]
[tex]2y^{2} - 20y + 128 = 0[/tex]
Factorize the equation and we get:
[tex](y-16)(y-4) = 0[/tex]
[tex]y = 16[/tex] ∨[tex]y = 4[/tex]
If we substitute [tex]y = 16[/tex] to [tex]x = 20 - y[/tex], we get [tex]x = 4[/tex]
So, we can conclude that both numbers are 4 and 16.
20. 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.
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