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?
1. 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
2. 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
3. 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.
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. 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
6. 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.
7. the sum of half of a number and 49 is 2 ¼ if the numbers .find the number
Jawab:
Penjelasan dengan langkah-langkah:
8. the survace of a cube is 294 cm2 .the length of a side and the volume of the cube are tolong di jawab kak
Jawaban:
bangun Ruang : Cube (kubus)
the survace of a Cube is 294 cm²
L = 6 × s²
294 = 6 × s²
s² = 294/6
s² = 49
s = √49 = 7 cm
the length of a side is 7 cm
volume kubus :
v = S³
V = 7³
v = 343 cm³
The surface of a cube is 294 cm². The length of a side is 7cm, and the volume of the cube is 343cm³.
PenyelesaianDiketahui:
Luas permukaan kubus = 294 cm²
Ditanya:Panjang sisi dan volume?
Jawab:
Panjang sisi
Lp kubus = 6s²
294 cm² = 6s²
294 / 6 = s²
49 = s²
s = √49
s = 7 cm
Volume kubus
V = s³
V = 7³
V = 343 cm³
____________________________________
Pelajari lebih lanjut : Mengenai panjang kubus satuan https://brainly.co.id/tugas/26399276Volume kubus https://brainly.co.id/tugas/5645262Detil JawabanMapel : Matematika
Kelas : 8 SMP
Materi : Bangun Ruang
Kata Kunci : Volume
Kode Soal : 2
Kode Kategorisasi : 8.2
9. 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
10. the difference of two positive number is 3, and the sum of their square is 117. determine the two number
4 - 1 = 3
5 - 2 = 3
6 - 3 = 3
7 - 4 = 3
8 - 5 = 3
9 - 6 = 3
...
Find the sum of the square with the result 117
16 + 1 ≠ 117
25 + 4 ≠ 117
36 + 9 ≠ 117
49 + 16 ≠ 117
64 + 25 ≠ 117
81 + 36 = 117
The two numbers are 9 and 6
11. 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
12. the sum of number and 6 is 31. Find the number
31 - 6 = 25
Jawabannya adalah 25
25 + 6 = 31
Maaf kalau salah
13. the sum of four number is 211 the average of three of the number is 42. what is the four number ?
Pelajaran:Matematika
Arti pertanyaan tersebut dalam Bahasa Indonesia:
Jumlah dari 4 bilangan adalah 211 dan rata-rata 3 bilangan adalah 42.Berapakah nilai dari bilangan ke-4 tersebut.
Jawab:
Misal:
Bilangan 1=A
Bilangan 2=B
Bilangan 3=C
Bilangan 4=D
A+B+C+D=211
42=A+B+C÷3
A+B+C=42×3
A+B+C=126
Nilai bilangan keempat(D)=211-126=85.
Semoga membantu.>_<.Jadikan jawaban terbaik ya.
a+b+c+d = 211
(a+b+c)/3 = 42
a+b+c = 126
a+b+c+d = 211 <= a+b+c = 126
126+d =211
d = 85
14. 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
15. The sum of 4 cunsencentive and odd number is 64. Find the largest of 4 numbers
Let, the middle number in the sequence be X.
So, the sequence of five consecutive odd numbers will be,
(X-2),(X-1),X,(X+1),(X+2)
Now, the sum of 64 consecutive odd numbers is 64
So,
(X-2)+(X-1)+X+(X+1)+(X+2)= 64
4X = 64
X = 64/4
X = 16
Find the largest number
= X+2
= 16+2
= 18
So, the largest number in the sequence will be 18.
16. The sum of the two numbers is 4 the difference between the two number is 44 find the number (......and.....)
Jawaban:
24 and (-20)
Penjelasan dengan langkah-langkah:
a+b=4
a-b=44
----------- +
2a=48
a=24
a+b=4
24+b=4
b=-20
17. If the symbol “ #” means multiply the Sum of the second number and the first number by 4 and then subtract the result by square of the second number. Find the solution of - 8 # ( -3 # 5 ) Tolong dijawab cepat yah
Jawab:
-389
Penjelasan dengan langkah-langkah:
Operator # berarti ((a+b)*4)-b^2
-3#5
= ((-3+5)*4)-5^2=8-25=-17
-8#-17
= ((-8-17)*4)-17^2=-100-289=-389
18. 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
19. the difference of two number is 13.the sum of the number is 59.find the numbers
Jawaban:
The numbers = 36 and 23
Penjelasan dengan langkah-langkah:
Cara ada di foto.
Maaf ya kalau salah.
20. 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]
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