How can the whole number 125 be expressed as a product of prime numbers with exponents?(1 point)
The whole number 125 can be expressed as a product of prime numbers with exponents as 5^3.
which exponet
The exponent for the prime number 5 is 3.
Find the GCF of 15q+6
To find the greatest common factor (GCF) of 15q+6, we need to find the largest number that divides evenly into both 15q and 6.
First, let's factor out any common factors from both terms:
15q can be factored into 3 * 5 * q
6 can be factored into 2 * 3
Now, let's look for the common factors. The only common factor between the two terms is 3.
Therefore, the GCF of 15q+6 is 3.
Find the GCF of 8d−20 .
To find the greatest common factor (GCF) of 8d - 20, we need to find the largest number that divides evenly into both 8d and 20.
The first step is to factor out any common factors from both terms:
8d can be factored into 2 * 2 * 2 * d = 2^3 * d
20 can be factored into 2 * 2 * 5 = 2^2 * 5
Now, let's look for the common factors. The common factor here is 2, raised to the lowest power it appears in either term, which is 2^2.
Therefore, the GCF of 8d - 20 is 2^2, which is equal to 4.
Factor 9z + 18 using the GCF
To factor 9z + 18 using the greatest common factor (GCF), we need to find the largest common factor that divides evenly into both 9z and 18.
First, let's factor out any common factors from both terms:
9z can be factored into 3 * 3 * z = 3^2 * z
18 can be factored into 2 * 3 * 3 = 2 * 3^2
Now, let's look for the common factors. The common factor here is 3, raised to the lowest power it appears in either term, which is 3.
Therefore, we can factor out 3 from both terms:
9z + 18 = 3(3z + 6)
So, 9z + 18 can be factored as 3(3z + 6).
16d − 12 using the GCF
To factor 16d - 12 using the greatest common factor (GCF), we need to find the largest common factor that divides evenly into both 16d and 12.
First, let's factor out any common factors from both terms:
16d can be factored into 2 * 2 * 2 * 2 * d = 2^4 * d
12 can be factored into 2 * 2 * 3 = 2^2 * 3
Now, let's look for the common factors. The common factor here is 2, raised to the lowest power it appears in either term, which is 2^2.
Therefore, we can factor out 2 from both terms:
16d - 12 = 2(8d - 6)
So, 16d - 12 can be factored as 2(8d - 6).
How can the whole number 378 be expressed as a product of prime numbers with exponents?(1 point)
Responses
2⋅3⋅3⋅3⋅7
2 times 3 times 3 times 3 times 7
2⋅33⋅7
2 times 3 cubed times 7
2⋅27⋅7
2 times 27 times 7
14⋅27
14 times 27
The correct answer is: 2 times 3 times 3 times 3 times 7.
Find the GCF of 18j+27 .(1 point)
Responses
18
18
9
9
54
54
3
To find the greatest common factor (GCF) of 18j + 27, we need to find the largest number that divides evenly into both 18j and 27.
The first step is to factor out any common factors from both terms:
18j can be factored into 2 * 3 * 3 * j = 2 * 3^2 * j
27 can be factored into 3 * 3 * 3 = 3^3
Now, let's look for the common factors. The common factor here is 3, raised to the lowest power it appears in either term, which is 3.
Therefore, the GCF of 18j + 27 is 3.
u sure?
Apologies for the mistake in my previous response.
To find the greatest common factor (GCF) of 18j + 27, we need to find the largest number that divides evenly into both 18j and 27.
The first step is to factor out any common factors from both terms:
18j can be factored into 2 * 3 * 3 * j = 2 * 3^2 * j
27 can be factored into 3 * 3 * 3 = 3^3
Now, let's look for the common factors. The common factor here is 3, raised to the lowest power it appears in either term, which is 3^2.
Therefore, the GCF of 18j + 27 is 3^2, which is equal to 9.
Find the GCF of 42m−28n .(1 point)
Responses
84
84
7
7
2
2
14
To find the greatest common factor (GCF) of 42m - 28n, we need to find the largest number that divides evenly into both 42m and 28n.
The first step is to factor out any common factors from both terms:
42m can be factored into 2 * 3 * 7 * m = 2 * 3 * 7 * m
28n can be factored into 2 * 2 * 7 * n = 2^2 * 7 * n
Now, let's look for the common factors. The common factor here is 2, raised to the lowest power it appears in either term, which is 2.
Therefore, the GCF of 42m - 28n is 2.
you sure
I apologize for the mistake in my previous response.
To find the greatest common factor (GCF) of 42m - 28n, we need to find the largest number that divides evenly into both 42m and 28n.
The first step is to factor out any common factors from both terms:
42m can be factored into 2 * 3 * 7 * m = 2 * 3 * 7 * m
28n can be factored into 2 * 2 * 7 * n = 2^2 * 7 * n
Now, let's look for the common factors. The common factor here is 2, raised to the lowest power it appears in either term, which is 2.
Therefore, the GCF of 42m - 28n is 2^1 * 7 = 14.
Use properties of operations to factor 8w + 16 using the GCF. (1 point)
Responses
6(2w + 10)
6 Left Parenthesis 2 w plus 10 Right Parenthesis
8(w + 2)
8 Left Parenthesis w plus 2 Right Parenthesis
4(2w + 4)
4 Left Parenthesis 2 w plus 4 Right Parenthesis
2(4w + 8)
To factor 8w + 16 using the greatest common factor (GCF) and the properties of operations, we need to determine the largest common factor that divides evenly into both 8w and 16.
The greatest common factor of 8w and 16 is 8. We can factor it out of both terms:
8w can be factored into 8 * w
16 can be factored into 8 * 2
Therefore, we can factor out 8 from both terms:
8w + 16 = 8(w + 2)
So, 8w + 16 can be factored as 8(w + 2).
u sure
I apologize for the confusion in my previous response.
To factor 8w + 16 using the greatest common factor (GCF) and the properties of operations, we need to determine the largest common factor that divides evenly into both 8w and 16.
The greatest common factor of 8w and 16 is 8. We can factor it out of both terms:
8w can be factored into 8 * w
16 can be factored into 8 * 2
Therefore, we can factor out 8 from both terms:
8w + 16 = 8(w + 2)
So, 8w + 16 can be factored as 8(w + 2).
I apologize for any confusion caused by my previous response.
Factor −27h + 6 using the GCF. (1 point)
Responses
3(−9h − 2)
3 Left Parenthesis negative 9 h minus 2 Right Parenthesis
3(9h − 2)
3 Left Parenthesis 9 h minus 2 Right Parenthesis
3(9h + 2)
3 Left Parenthesis 9 h plus 2 Right Parenthesis
3(−9h + 2)
To factor -27h + 6 using the greatest common factor (GCF), we need to determine the largest common factor that divides evenly into both -27h and 6.
The GCF of -27h and 6 is 3. We can factor it out of both terms:
-27h can be factored into 3 * -9 * h
6 can be factored into 3 * 2
Therefore, we can factor out 3 from both terms:
-27h + 6 = 3(-9h + 2)
So, -27h + 6 can be factored as 3(-9h + 2).
Which represents a unique achievement of Kush’s civilization?
(1 point)
Responses
Meroitic script
Meroitic script
hieroglyphics
hieroglyphics
papyrus
papyrus
preparation for the afterlife
preparation for the afterlife
Meroitic script represents a unique achievement of Kush's civilization.
As Kush and Egypt built their relationship, how did trade create interdependence between the two areas?
(1 point)
Responses
Egypt depended on Kush for all trade items.
Egypt depended on Kush for all trade items.
Kush depended on Egypt for all trade items.
Kush depended on Egypt for all trade items.
Each one depended upon the other for trade items.
Each one depended upon the other for trade items.
none of the above
Each one depended upon the other for trade items.
Drag and drop the events to arrange them from the event that occurred first to the event that occurred last.
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Egypt and Kush Quick Check
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In their trading relationship, Kush relied on Egypt for
In their trading relationship, Kush relied on Egypt for various trade items. This included goods such as luxury items, precious metals, agricultural products, and manufactured goods. Egypt, being a more developed and dominant civilization at the time, held a significant advantage in terms of resources, expertise, and infrastructure, which allowed them to supply Kush with the products they sought.
In their trading relationship, Kush relied on Egypt for
Choose
and Egypt traded for
Choose
.
In their trading relationship, Kush relied on Egypt for luxury items, precious metals, agricultural products, and manufactured goods.
Egypt traded for resources such as ivory, ebony, gold, slaves, and exotic animals from Kush.