Factor 16d − 12
using the GCF.(1 point)
The greatest common factor (GCF) of 16d and -12 is 4. Thus, we can factor out 4 from both terms:
16d − 12 = 4(4d − 3)
Find the GCF of 18j + 27.(1 point)
Responses give me the right answers
54
54
3
3
9
9
18
To find the greatest common factor (GCF) of 18j and 27, we can look for the largest number that evenly divides both terms.
The factors of 18j are 1, 2, 3, 6, 9, 18, j, 2j, 3j, 6j, 9j, 18j.
The factors of 27 are 1, 3, 9, 27.
From these lists, we can see that the largest number that divides both 18j and 27 is 9.
Therefore, the GCF of 18j and 27 is 9.
Find the GCF of 42m - 28n.(1 point)
Responses give me the right answers
7
7
84
84
2
2
14
To find the greatest common factor (GCF) of 42m and -28n, we can look for the largest number that evenly divides both terms.
The factors of 42m are 1, 2, 3, 6, 7, 14, 21, 42, m, 2m, 3m, 6m, 7m, 14m, 21m, 42m.
The factors of -28n are 1, 2, 4, 7, 14, 28, n, 2n, 4n, 7n, 14n, 28n.
From these lists, we can see that the largest number that divides both 42m and -28n is 14.
Therefore, the GCF of 42m and -28n is 14.
Use properties of operations to factor 8w + 16 using GCF.(1 point)
Responses
4(2w + 4)
4(2w + 4)
2(4w + 8)
2(4w + 8)
8(w + 2)
8(w + 2)
6(2w + 10)
6(2w + 10)
To factor 8w + 16 using the greatest common factor (GCF), we need to find the largest number that evenly divides both terms.
The GCF of 8w and 16 is 8.
We can then factor out 8 from both terms:
8w + 16 = 8(w + 2)
Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).
Factor -27h + 6 using the GCF.(1 point)
Responses give me the right answers
3(-9h +2)
3(-9h +2)
3(-9h - 2)
3(-9h - 2)
3(-9h - 2)
3(-9h - 2)
3(9h + 2)
To factor -27h + 6 using the greatest common factor (GCF), we need to find the largest number that evenly divides both terms.
The GCF of -27h and 6 is 3.
We can then factor out 3 from both terms:
-27h + 6 = 3(-9h + 2)
Therefore, the factored form of -27h + 6 using the GCF is 3(-9h + 2).
Expand and distribute.
−5(−3−11g)
(1 point)
Responses give me the right answers
55g + 15
55g + 15
-55g + 15
-55g + 15
-55g - 15
-55g - 15
55g - 15
To expand and distribute -5(-3-11g), we need to multiply -5 by each term inside the parentheses:
-5 * -3 = 15
-5 * -11g = 55g
Putting it together, we get:
-5(-3-11g) = 55g + 15
Therefore, the expanded and distributed form of -5(-3-11g) is 55g + 15.
Simplify by combining like terms.
2/8x+3/10y−5/8x+4/10y
(1 point)
Responses give me the right answers
1418xy
14 over 18 x y
−38x+710y
negative 3 eighths x plus 7 tenths y
418xy
4 over 18 x y
710x+78y
7 tenths x plus 7 eighths y
To simplify by combining like terms in the expression 2/8x + 3/10y - 5/8x + 4/10y, we can combine the terms that have the same variables.
First, let's combine the terms with the variable x:
2/8x - 5/8x = (2/8 - 5/8)x
= (-3/8)x
Next, let's combine the terms with the variable y:
3/10y + 4/10y = (3/10 + 4/10)y
= (7/10)y
Putting it all together, we have:
(-3/8)x + (7/10)y
Therefore, the simplified form of 2/8x + 3/10y - 5/8x + 4/10y is (-3/8)x + (7/10)y.
a b c d
I apologize, but I'm not sure what you are asking or stating with the variables a, b, c, and d. Could you please provide more context or clarify your question?
Simplify by combining like terms.
2/8x+3/10y−5/8x+4/10y
(1 point)
Responses give me the right answers
1418xy a b c or d
14 over 18 x y
−38x+710y
negative 3 eighths x plus 7 tenths y
418xy
4 over 18 x y
710x+78y
7 tenths x plus 7 eighths y
I apologize for the confusion. The correct simplified form of the expression 2/8x + 3/10y - 5/8x + 4/10y is:
(-3/8)x + (7/10)y
Therefore, the answer is:
Negative three eighths x plus seven tenths y.
what?
Apologies for the confusion. Let's simplify the expression step by step:
First, let's combine the terms with the variable x:
2/8x - 5/8x = (2/8 - 5/8)x
= -3/8x
Next, let's combine the terms with the variable y:
3/10y + 4/10y = (3/10 + 4/10)y
= 7/10y
Putting it all together, we have:
-3/8x + 7/10y
Therefore, the simplified form of 2/8x + 3/10y - 5/8x + 4/10y is -3/8x + 7/10y.
Evaluate when a = 9, b = 6.
a−b/3
(1 point)
Responses give me the right answers
9
9
3
3
1
1
6
To evaluate the expression a - b/3 when a = 9 and b = 6, we substitute the given values into the expression:
a - b/3 = 9 - 6/3
Since division is performed before subtraction, we need to simplify the division part first:
6/3 = 2
Now we substitute the result back into the expression:
9 - 2 = 7
Therefore, when a = 9 and b = 6, the value of the expression a - b/3 is 7.
nope
Apologies for the mistake. Let's evaluate the expression correctly:
a - b/3 = 9 - 6/3
Now, simplify the division part:
6/3 = 2
Now substitute the value back into the expression:
9 - 2 = 7
Therefore, when a = 9 and b = 6, the value of the expression a - b/3 is 7.
You are saving for a skateboard. Your aunt gives you $45 to start and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much will you have saved after 4 weeks?(1 point)
Responses
$57
$57
$42
$42
$33
$33
$576
$576
To find out how much you will have saved after 4 weeks, we can substitute w = 4 into the expression 45 + 3w:
45 + 3(4) = 45 + 12 = 57
Therefore, you will have saved $57 after 4 weeks.