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.
1. 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
2. among the numbers 2007, 2008 and 2009 what is the number that has the most positif factor
Jawab:
The number that has the most positif factor is 2008
Penjelasan dengan langkah-langkah:
Faktor masing-masing angka :
2007 = 1, 3, 9, 223, 669, 2007
2008 = 1, 2, 4, 8, 251, 502, 1004, 2008
2009 = 1, 7, 41, 49, 287, 2009
Bilangan yang memiliki paling banyak faktor adalah 2008
3. The sum of two square numbers is 25².what are the square numbers?
Jawab:
Simplify 25^2 to a real number
25x25= 625
Then, find out which 2 square numbers add to become 625.
625= 20^2+15^2
625= 400+225
So, the square numbers are 20^2 and 15^2
Penjelasan dengan langkah-langkah:
Jawab:
15² and 20²Penjelasan dengan langkah-langkah:
Square number = product of the multiplication of 2 same numbers
The product of 25² =
25 × 25 =
625
The sum of two square numbers = 625
225 + 400 = 625
15² + 20² = 25²
嘉誠
4. list the prime factor of the following numbers a. 24 b. 36 c. 45 d. 88
Jawaban:
c
Penjelasan dengan langkah-langkah:
sorry if i wrong:)), good for you
Penjelasan dengan langkah-langkah:
a.
24 = 2 x 2 x 2 x 3
b.
36 = 2 x 2 x 3 x 3
c.
45= 3 x 3 x 5
d.
88 = 2 x 2 x 2 x 11
jadikan jawaban yang terbaik
maaf kalau salah
5. what factor affects the apple to change over time
The condition of the places like air
6. 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]
: )
7. determine whether each of the following numbers is a factor of the number in the brackets 5 bracket 60 bracket
Tentukan apakah masing-masing angka berikut adalah faktor dari angka dalam braket 5 braket 60 braket
itu adalah artinya
faktor 5 = 5
faktor 60 = 2,2,3,5
so factors of 5 and 60 are
faktor 5 = 5
faktor 60 = 2,2,3,5
8. Two numbers have a highest common factor of 5. The two numbers add up to 35. Show that there are three possible pairs of values for the two numbers.
Jawaban:
Since the common divisor is 7, lets assume the number to be 7x and 7y.
7x+7y=77
7(x+y)=77
(x+y)=11
All possible pairs for x and y are (1,10),(2,9),(3,8),(4,7),(5,6)
Hence the possible pairs of the two natural numbers are (7,70),(14,54),(21,56),(28,49) and (35,42)
9. 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]
10. there are five number: 22,3,11,713 the above numbers which are prime factor of 182 are
Jawaban:
7 and 13
Penjelasan dengan langkah-langkah:
22,3,11,7,13
factor of 182 ?
182 = 2,7,13,16,26,91
so prime factor of 182 are 7 and 13
11. The average of 3 numbers is 5. If the three numbers are successive numbers, what is the smallest number?
Jawab:
4
Penjelasan dengan langkah-langkah:
Successive numbers are numbers that are listed in order from any sequence. It means the sequence is 4, 5, 6. So, the smallest number is 4.
12. Factor the expression below completely. All coefficients should be integers. 72x²−50
72x² - 50 ⇒ 72x² - 60x + 60x - 50
⇒ ( 72x² - 60x ) + ( 60x - 50 )
⇒ 12x ( 6x - 10 ) + 10 ( 6x - 10 )
⇒ [tex](12x+10)(6x-10)[/tex]
13. write the numbers that are multiples of 10write the number that are divisible by 2write the numbers that have a factor of 5write the numbers that are divisible by both 2 and 5write the numbers that are divisible by 5 but not by 10
Jawaban:
1) Multiples of 10 = kelipatan 10
angka yang dapat dibagi oleh 10
=> 10 , 20 , 30 , 40 , 50 , 60 , ..........
2) divisible by 2 = angka habis dibagi 2
angka yg dapat dibagi 2 hingga habis ( angka genap)
=> 2 , 4 , 6 , 8 , 10 .........
3) factor of 5 = faktor 5
angka yg dapat membagi 5 / faktorisasi 5
5
^
5 1 => 5 dan 1
4) divisible both 2 and 5 =angka yg habis oleh 2 dan 5
= tentukan kpk 2 dan 5 = 2 x 5 = 10
KPK = 10
maka diketahui divisible both 2 dan 5 kelipatan 10
= > 10 , 20 , 30 , 40 .........
5) divisible by 5 not by 10 = angka habis dibagi 5 bukan 10
= berarti angka yang memiliki akhir angka 5, karena tidak boleh habis dibagi 10
=> 5 , 15 , 25 , 35 , 45 , 55 , 65 , 75 , ........
-semoga membantu
14. 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
15. 25. The median of five numbers 10, x − 1, x − 5, x − 4 and x + 11 is 9. Find the mean of the 5 numbers.
The mean of those 5 numbers is 10.2.
(note: "." = decimal separator)
The median of five numbers [tex]10[/tex], [tex]x - 1[/tex], [tex]x - 5[/tex], [tex]x - 4[/tex] and [tex]x + 11[/tex] is [tex]9[/tex]. Find the mean of the 5 numbers.
SolutionBecause there are five numbers, [tex]9[/tex] should be the 3rd number.
Notice that [tex]x-5 < x-4 < x-1 < x+11[/tex]. It means the first 3 numbers are [tex]x-5[/tex], [tex]x-4[/tex], and [tex]x-1[/tex]. The number [tex]10[/tex] is greater than [tex]9[/tex] by 1, so 10 should be the 4th number. Hence, the sorted sequence is:
[tex]x-5, x-4, x-1, 10, x+11[/tex]
[tex]\implies x-1 = 9[/tex]
[tex]\therefore\ \ x = \bf10[/tex]
The mean of those 5 numbers can be calculated in 2 ways.
1. Using pre-calculated numbers
By replacing [tex]x[/tex] with [tex]10[/tex], we get [tex]5, 6, 9, 10, 21[/tex]. The mean is:
[tex]\begin{aligned}\overline{x}&=\frac{5+6+9+10+21}{5}\\&=\frac{51}{5}\\\therefore\ \overline{x}&=\boxed{\:\bf10.2\:}\end{aligned}[/tex]
2. Keeping [tex]x[/tex] in calculation, and then substitute
The mean of [tex]x-5, x-4, x-1, 10, x+11[/tex] is:
[tex]\begin{aligned}\overline{x}&=\frac{x-5+x-4+x-1+10+x+11}{5}\\&=\frac{4x+11}{5}\\&\ \rightsquigarrow\left[\ x=10\ \right]\\&=\frac{4\times10\ +\ 11}{5}\\&=\frac{51}{5}\\\therefore\ \overline{x}&=\boxed{\:\bf10.2\:}\end{aligned}[/tex]
[tex]\blacksquare[/tex]
the mean of the 5 numbers =10,2
Diketahui:
The median of five numbers 10, x − 1, x − 5, x − 4 and x + 11 is 9.
Ditanya:
Find the mean of the 5 numbers.
Pembahasan:
diurutkan:
x-5,x-4,x-1,10,x+11
median=nilaitengah
5nomernilaitengahnyanilaike3.
=x-1=9
x=10
ratarata=[(10)+(x − 1)+(x − 5)+(x − 4)+(x + 11)]/5 =
⅘x + 11/5 =
⅘(10) + 11/5 =
10,2
16. Write down the numbers that are a multiple of 7 and a factor of 21.
Jawaban, Penjelasan:
7,14,21,28,35,...
Factor of 21 is 3 and 7
17. 1.the average of the 4 number is 56 the first numbers is 5 more than the second .The third numbers is the half of the second and the fourth number is three time the sum of the first and second numbers Find the numbers?2.the sum of three consecutive odd numbers is 135 . Find the largest odd numbers
Jawaban :
1.
a = 29
b = 24
c = 12
d = 159
2.
47
Pembahasan :
1.
[tex]\frac{a+b +c +d}{4}[/tex] = 56
a + b + c + d = 4(56)
a + b + c + d = 224
a = 5 + b
c = [tex]\frac{b}{2}[/tex]
d = 3( a + b )
a + b + c + d = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 3(a + b) = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 3(b + 5 + b) = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 3(2b + 5) = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 6b + 15 = 224
8b + [tex]\frac{b}{2}[/tex] + 20 = 224
8b + [tex]\frac{b}{2}[/tex] = 224 - 20
8b + [tex]\frac{b}{2}[/tex] = 204
8b + [tex]\frac{b}{2}[/tex] = 204
____________ ×2
16b + b = 408
17b = 408
b = 24
a = 5 + b
a = 5 + 24
a = 29
c = [tex]\frac{b}{2}[/tex]
c = [tex]\frac{24}{2}[/tex]
c = 12
d = 3( a + b )
d = 3( 29 + 24)
d = 3(53)
d = 159
2.
a + b + c = 135
a = b - 2
c = b + 2
a + b + c = 135
b - 2 + b + b + 2 = 135
3b = 135
b = 45
c = b + 2
c = 45 + 2
c = 47
Detail Jawaban :
Mapel : Matematika
Kelas : 6
Materi : Aljabar
#AyoBelajar #BelajarBersamaBrainly
18. 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
19. Write down all the numbers that have 2 as a factor
Terjemah:
Tuliskan semua bilangan yang memiliki 2 sebagai faktornya
Penjelasan dengan langkah-langkah:
Semoga Membantu Ya Kakak ☺️
20. Write down the numbers that are a multiple of 7 and a factor of 21.
7= 7,14,21,28,35,42,49,56,63,70
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