prp
42 answers
The word "prp" does not have a specific meaning. It could be an abbreviation for various terms in different contexts. Please provide more information or clarify your question so that I can provide a more accurate response.
Simplify 12e − 5f − 7e +3f.(1 point)
To simplify the expression 12e - 5f - 7e + 3f, you can combine like terms.
Combining the terms with "e" and "f":
(12e - 7e) + (-5f + 3f)
This simplifies to:
5e - 2f
So, the simplified expression is 5e - 2f.
Combining the terms with "e" and "f":
(12e - 7e) + (-5f + 3f)
This simplifies to:
5e - 2f
So, the simplified expression is 5e - 2f.
Simplify 9x + 3y − 6 − 5x + 4y −3.(1 point)
To simplify the expression 9x + 3y - 6 - 5x + 4y - 3, you can combine like terms.
Combining the terms with "x" and "y":
(9x - 5x) + (3y + 4y)
This simplifies to:
4x + 7y
Next, you can simplify the constant terms:
(-6 - 3)
This simplifies to:
-9
So, the simplified expression is 4x + 7y - 9.
Combining the terms with "x" and "y":
(9x - 5x) + (3y + 4y)
This simplifies to:
4x + 7y
Next, you can simplify the constant terms:
(-6 - 3)
This simplifies to:
-9
So, the simplified expression is 4x + 7y - 9.
Simplify 9/11z − 4/11z.(1 point)
To simplify the expression (9/11z) - (4/11z), you can combine the fractions by finding a common denominator.
The denominators in both fractions are 11z, so you can directly subtract the numerators:
(9 - 4) / 11z
This simplifies to:
5/11z
So, the simplified expression is 5/11z.
The denominators in both fractions are 11z, so you can directly subtract the numerators:
(9 - 4) / 11z
This simplifies to:
5/11z
So, the simplified expression is 5/11z.
Simplify 3/10x + 1/6y + 3/10x + 3/6y. Be sure to reduce any fractions to the lowest terms.(1 point)
$$
$$
To simplify the expression (3/10x) + (1/6y) + (3/10x) + (3/6y), we can combine the like terms and perform any necessary simplifications.
First, let's combine the terms with "x" and the terms with "y":
(3/10x + 3/10x) + (1/6y + 3/6y)
This simplifies to:
(6/10x) + (4/6y)
Next, let's find a common denominator for the fractions in each term. The common denominator for 10 and 6 is 30:
(18/30x) + (20/30y)
Now, let's reduce each fraction to its lowest terms:
(3/5x) + (2/3y)
Thus, the simplified expression is (3/5x) + (2/3y).
First, let's combine the terms with "x" and the terms with "y":
(3/10x + 3/10x) + (1/6y + 3/6y)
This simplifies to:
(6/10x) + (4/6y)
Next, let's find a common denominator for the fractions in each term. The common denominator for 10 and 6 is 30:
(18/30x) + (20/30y)
Now, let's reduce each fraction to its lowest terms:
(3/5x) + (2/3y)
Thus, the simplified expression is (3/5x) + (2/3y).
Simplify 4x + 8x using the properties of operations.(1 point)
Responses
12x
12 x
4x + 8
4 x plus 8
4 + 8x
4 plus 8 x
12x2
Simplify 9g−7h−6g + 2h . (1 point)
Responses
3g + 5h
3 g plus 5 h
2gh − 4gh
2 g h minus 4 g h
3g − 5h
3 g minus 5 h
−2gh
negative 2 g h
Simplify 2a − 4b +7 + 8a + 6b − 2.(1 point)
Responses
10a − 2b +5
10 a minus 2 b plus 5
12ab + 5
12 a b plus 5
10a + 2b +5
10 a plus 2 b plus 5
−2ab + 14ab + 5
Simplify 3/7x + 2/7x using properties of operations.(1 point)
Responses
57x2
Start Fraction 5 over 7 End Fraction x squared
57x
Start Fraction 5 over 7 End Fraction x
514x2
Start Fraction 5 over 14 End Fraction x squared
514x
Simplify 6/7c − 5/9d − 1/2 c + 1/3d.(1 point)
Responses
59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d
59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d
514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d
514c − 29d
Responses
12x
12 x
4x + 8
4 x plus 8
4 + 8x
4 plus 8 x
12x2
Simplify 9g−7h−6g + 2h . (1 point)
Responses
3g + 5h
3 g plus 5 h
2gh − 4gh
2 g h minus 4 g h
3g − 5h
3 g minus 5 h
−2gh
negative 2 g h
Simplify 2a − 4b +7 + 8a + 6b − 2.(1 point)
Responses
10a − 2b +5
10 a minus 2 b plus 5
12ab + 5
12 a b plus 5
10a + 2b +5
10 a plus 2 b plus 5
−2ab + 14ab + 5
Simplify 3/7x + 2/7x using properties of operations.(1 point)
Responses
57x2
Start Fraction 5 over 7 End Fraction x squared
57x
Start Fraction 5 over 7 End Fraction x
514x2
Start Fraction 5 over 14 End Fraction x squared
514x
Simplify 6/7c − 5/9d − 1/2 c + 1/3d.(1 point)
Responses
59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d
59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d
514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d
514c − 29d
Let's simplify each expression step by step:
1. Simplify 4x + 8x:
Combining the like terms, we can add the coefficients of x:
4x + 8x = 12x
So, the simplified expression is 12x.
2. Simplify 9g - 7h - 6g + 2h:
Combine the like terms with 'g' and the like terms with 'h':
(9g - 6g) + (-7h + 2h) = 3g - 5h
So, the simplified expression is 3g - 5h.
3. Simplify 2a - 4b + 7 + 8a + 6b - 2:
Combine the like terms with 'a', the like terms with 'b', and the constant terms:
(2a + 8a) + (-4b + 6b) + (7 - 2) = 10a + 2b + 5
So, the simplified expression is 10a + 2b + 5.
4. Simplify (3/7)x + (2/7)x:
Combine the fractions with the same denominator by adding the numerators:
(3/7)x + (2/7)x = (3 + 2)/7x = 5/7x
So, the simplified expression is 5/7x.
5. Simplify (6/7)c - (5/9)d - (1/2)c + (1/3)d:
Combine the fractions with the same denominator by adding the numerators:
(6/7)c - (1/2)c + (1/3)d - (5/9)d = (18/21)c - (7/14)c + (7/21)d - (10/18)d = (6/7)c - (1/2)c + (7/9)d - (5/9)d
To further simplify the expression, we need a common denominator:
(6/7)c - (1/2)c + (7/9)d - (5/9)d = (54/63)c - (31/63)c + (49/63)d - (35/63)d = (23/63)c + (14/63)d = (23c + 14d)/63
So, the simplified expression is (23c + 14d)/63.
1. Simplify 4x + 8x:
Combining the like terms, we can add the coefficients of x:
4x + 8x = 12x
So, the simplified expression is 12x.
2. Simplify 9g - 7h - 6g + 2h:
Combine the like terms with 'g' and the like terms with 'h':
(9g - 6g) + (-7h + 2h) = 3g - 5h
So, the simplified expression is 3g - 5h.
3. Simplify 2a - 4b + 7 + 8a + 6b - 2:
Combine the like terms with 'a', the like terms with 'b', and the constant terms:
(2a + 8a) + (-4b + 6b) + (7 - 2) = 10a + 2b + 5
So, the simplified expression is 10a + 2b + 5.
4. Simplify (3/7)x + (2/7)x:
Combine the fractions with the same denominator by adding the numerators:
(3/7)x + (2/7)x = (3 + 2)/7x = 5/7x
So, the simplified expression is 5/7x.
5. Simplify (6/7)c - (5/9)d - (1/2)c + (1/3)d:
Combine the fractions with the same denominator by adding the numerators:
(6/7)c - (1/2)c + (1/3)d - (5/9)d = (18/21)c - (7/14)c + (7/21)d - (10/18)d = (6/7)c - (1/2)c + (7/9)d - (5/9)d
To further simplify the expression, we need a common denominator:
(6/7)c - (1/2)c + (7/9)d - (5/9)d = (54/63)c - (31/63)c + (49/63)d - (35/63)d = (23/63)c + (14/63)d = (23c + 14d)/63
So, the simplified expression is (23c + 14d)/63.
whats the last one?
Apologies for the confusion. The last simplified expression is:
(23c + 14d)/63.
(23c + 14d)/63.
a b c or d
The response for the last question's simplified expression is (23c + 14d)/63. So, the correct answer is option d.
Expand 6(x + 1).(1 point)
To expand the expression 6(x + 1), you need to distribute 6 to both terms inside the parentheses:
6(x + 1) = 6 * x + 6 * 1
This simplifies to:
6x + 6
So, the expanded form of 6(x + 1) is 6x + 6.
6(x + 1) = 6 * x + 6 * 1
This simplifies to:
6x + 6
So, the expanded form of 6(x + 1) is 6x + 6.
Expand 4(3z − 7).(1 point)
Expand −5(2q + 8).(1 point)
Expand 7/10(5d+6).(1 point)
Responses
5d
+ 215
5 d + 21 fifths
35d + 42
35d + 42
35d + 6
35d + 6
72d + 215
Expand −5/8(3p+8).(1 point)
Responses
−158 p−5
−158 p−5
−158 + 3p
−158 + 3p
3p + 8
3p + 8
−15p + (−40)
Expand −5(2q + 8).(1 point)
Expand 7/10(5d+6).(1 point)
Responses
5d
+ 215
5 d + 21 fifths
35d + 42
35d + 42
35d + 6
35d + 6
72d + 215
Expand −5/8(3p+8).(1 point)
Responses
−158 p−5
−158 p−5
−158 + 3p
−158 + 3p
3p + 8
3p + 8
−15p + (−40)
To expand the given expressions, you need to distribute the coefficients to both terms inside the parentheses:
1. Expanding 4(3z - 7):
4 * 3z - 4 * 7 = 12z - 28
So, the expanded form of 4(3z - 7) is 12z - 28.
2. Expanding -5(2q + 8):
-5 * 2q + -5 * 8 = -10q - 40
So, the expanded form of -5(2q + 8) is -10q - 40.
3. Expanding 7/10(5d + 6):
(7/10) * 5d + (7/10) * 6 = (35/10)d + (42/10) = (7/2)d + 4.2
So, the expanded form of 7/10(5d + 6) is (7/2)d + 4.2.
4. Expanding -5/8(3p + 8):
(-5/8) * 3p + (-5/8) * 8 = (-15/8)p + (-40/8) = (-15/8)p - 5
So, the expanded form of -5/8(3p + 8) is (-15/8)p - 5.
1. Expanding 4(3z - 7):
4 * 3z - 4 * 7 = 12z - 28
So, the expanded form of 4(3z - 7) is 12z - 28.
2. Expanding -5(2q + 8):
-5 * 2q + -5 * 8 = -10q - 40
So, the expanded form of -5(2q + 8) is -10q - 40.
3. Expanding 7/10(5d + 6):
(7/10) * 5d + (7/10) * 6 = (35/10)d + (42/10) = (7/2)d + 4.2
So, the expanded form of 7/10(5d + 6) is (7/2)d + 4.2.
4. Expanding -5/8(3p + 8):
(-5/8) * 3p + (-5/8) * 8 = (-15/8)p + (-40/8) = (-15/8)p - 5
So, the expanded form of -5/8(3p + 8) is (-15/8)p - 5.
whats the last 2 a b c d
The last two expanded expressions are:
3. Expanded form of 7/10(5d + 6):
(7/2)d + 4.2
So, the correct answer for this expression is option c.
4. Expanded form of -5/8(3p + 8):
(-15/8)p - 5
So, the correct answer for this expression is option d.
3. Expanded form of 7/10(5d + 6):
(7/2)d + 4.2
So, the correct answer for this expression is option c.
4. Expanded form of -5/8(3p + 8):
(-15/8)p - 5
So, the correct answer for this expression is option d.
Expand 5(y + 2) using the distributive property.(1 point)
Responses give me the right answers
6y + 7
6 y plus 7
5y + 10
5 y plus 10
5y + 2
5 y plus 2
6y + 10
Responses give me the right answers
6y + 7
6 y plus 7
5y + 10
5 y plus 10
5y + 2
5 y plus 2
6y + 10
To expand the expression 5(y + 2) using the distributive property, you need to distribute 5 to both terms inside the parentheses:
5(y + 2) = 5 * y + 5 * 2
This simplifies to:
5y + 10
So, the expanded form of 5(y + 2) is 5y + 10.
Therefore, the correct answer is option b.
5(y + 2) = 5 * y + 5 * 2
This simplifies to:
5y + 10
So, the expanded form of 5(y + 2) is 5y + 10.
Therefore, the correct answer is option b.
Expand −5(−3 − 11g).(1 point)
Responses give me the right answers
−55g + 15
negative 55 g plus 15
−55g − 15
negative 55 g minus 15
55g − 15
55 g minus 15
55g + 15
Responses give me the right answers
−55g + 15
negative 55 g plus 15
−55g − 15
negative 55 g minus 15
55g − 15
55 g minus 15
55g + 15
To expand the expression -5(-3 - 11g) using the distributive property, you need to distribute -5 to both terms inside the parentheses:
-5(-3 - 11g) = -5 * -3 - 5 * -11g
This simplifies to:
15 + 55g
So, the expanded form of -5(-3 - 11g) is 15 + 55g.
Therefore, the correct answer is option a: -55g + 15.
-5(-3 - 11g) = -5 * -3 - 5 * -11g
This simplifies to:
15 + 55g
So, the expanded form of -5(-3 - 11g) is 15 + 55g.
Therefore, the correct answer is option a: -55g + 15.
Expand 1/3(q−6) using the Distributive Property.(1 point)
Responses give me the right answers
−13q+6
negative Start Fraction 1 over 3 End Fraction q plus 6
−13q+2
negative Start Fraction 1 over 3 End Fraction q plus 2
13q−6
Start Fraction 1 over 3 End Fraction q minus 6
13q−2
Start Fraction 1 over 3 End Fraction q minus 2
Responses give me the right answers
−13q+6
negative Start Fraction 1 over 3 End Fraction q plus 6
−13q+2
negative Start Fraction 1 over 3 End Fraction q plus 2
13q−6
Start Fraction 1 over 3 End Fraction q minus 6
13q−2
Start Fraction 1 over 3 End Fraction q minus 2
To expand the expression 1/3(q - 6) using the distributive property, you need to distribute 1/3 to both terms inside the parentheses:
1/3(q - 6) = 1/3 * q - 1/3 * 6
This simplifies to:
q/3 - 2
So, the expanded form of 1/3(q - 6) is q/3 - 2.
Therefore, the correct answer is option d: 13q - 2.
1/3(q - 6) = 1/3 * q - 1/3 * 6
This simplifies to:
q/3 - 2
So, the expanded form of 1/3(q - 6) is q/3 - 2.
Therefore, the correct answer is option d: 13q - 2.
Expand 2/5(−5c+10).(1 point)
Responses give me the right answers
−2c+10
negative 2c plus 10
−2c+4
negative 2c plus 4
2c−4
2c minus 4
2c−10
Responses give me the right answers
−2c+10
negative 2c plus 10
−2c+4
negative 2c plus 4
2c−4
2c minus 4
2c−10
To expand the expression 2/5(-5c + 10) using the distributive property, you need to distribute 2/5 to both terms inside the parentheses:
2/5(-5c + 10) = 2/5 * -5c + 2/5 * 10
This simplifies to:
-2c + 4
So, the expanded form of 2/5(-5c + 10) is -2c + 4.
Therefore, the correct answer is option b: -2c + 4.
2/5(-5c + 10) = 2/5 * -5c + 2/5 * 10
This simplifies to:
-2c + 4
So, the expanded form of 2/5(-5c + 10) is -2c + 4.
Therefore, the correct answer is option b: -2c + 4.
Expand −7/6(3g+2).(1 point)
Responses give me the right answers
−72g−73
negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction
72g+2
Start Fraction 7 over 2 End Fraction g plus 2
72g−73
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction
−72g+2
Responses give me the right answers
−72g−73
negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction
72g+2
Start Fraction 7 over 2 End Fraction g plus 2
72g−73
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction
−72g+2
To expand the expression -7/6(3g + 2) using the distributive property, you need to distribute -7/6 to both terms inside the parentheses:
-7/6(3g + 2) = -7/6 * 3g - 7/6 * 2
This simplifies to:
-7/2g - 7/3
So, the expanded form of -7/6(3g + 2) is -7/2g - 7/3.
Therefore, the correct answer is option a: −72g−73.
-7/6(3g + 2) = -7/6 * 3g - 7/6 * 2
This simplifies to:
-7/2g - 7/3
So, the expanded form of -7/6(3g + 2) is -7/2g - 7/3.
Therefore, the correct answer is option a: −72g−73.
Find the GCF of 15q+6
.(1 point)
.(1 point)
To find the greatest common factor (GCF) of 15q + 6, we need to find the largest number or term that can divide both terms without leaving a remainder.
First, let's factor out any common factors between the two terms:
15q = 3 * 5 * q
6 = 2 * 3
Now, let's identify the common factors:
The common factors are 3 and 1 (since 1 can divide any term without leaving a remainder).
Therefore, the GCF of 15q + 6 is 3.
First, let's factor out any common factors between the two terms:
15q = 3 * 5 * q
6 = 2 * 3
Now, let's identify the common factors:
The common factors are 3 and 1 (since 1 can divide any term without leaving a remainder).
Therefore, the GCF of 15q + 6 is 3.
Find the GCF of 8d−20
.(1 point)
.(1 point)
To find the greatest common factor (GCF) of 8d - 20, we need to find the largest number or term that can divide both terms without leaving a remainder.
First, let's factor out any common factors between the two terms:
8d = 2 * 2 * 2 * d
20 = 2 * 2 * 5
Now, let's identify the common factors:
The common factors are 2 and 2.
Therefore, the GCF of 8d - 20 is 2.
First, let's factor out any common factors between the two terms:
8d = 2 * 2 * 2 * d
20 = 2 * 2 * 5
Now, let's identify the common factors:
The common factors are 2 and 2.
Therefore, the GCF of 8d - 20 is 2.
Factor 9z + 18
using the GCF.(1 point)
using the GCF.(1 point)
To factor the expression 9z + 18 using the greatest common factor (GCF), we need to find the largest factor that can divide both terms evenly.
First, let's find the GCF of 9z and 18:
9z = 3 * 3 * z
18 = 2 * 3 * 3
The common factors between 9z and 18 are 3 and 3.
Next, let's divide both terms by the GCF:
9z / 3 = 3z
18 / 3 = 6
So, the GCF factored form of 9z + 18 is 3(3z + 6).
First, let's find the GCF of 9z and 18:
9z = 3 * 3 * z
18 = 2 * 3 * 3
The common factors between 9z and 18 are 3 and 3.
Next, let's divide both terms by the GCF:
9z / 3 = 3z
18 / 3 = 6
So, the GCF factored form of 9z + 18 is 3(3z + 6).
Factor 16d − 12
using the GCF
using the GCF
To factor the expression 16d - 12 using the greatest common factor (GCF), we need to find the largest factor that can divide both terms evenly.
First, let's find the GCF of 16d and 12:
16d = 2 * 2 * 2 * 2 * d
12 = 2 * 2 * 3
The common factors between 16d and 12 are 2 and 2.
Next, let's divide both terms by the GCF:
16d / 2 = 8d
12 / 2 = 6
So, the GCF factored form of 16d - 12 is 2(8d - 6), or simply 2 * (8d - 6).
First, let's find the GCF of 16d and 12:
16d = 2 * 2 * 2 * 2 * d
12 = 2 * 2 * 3
The common factors between 16d and 12 are 2 and 2.
Next, let's divide both terms by the GCF:
16d / 2 = 8d
12 / 2 = 6
So, the GCF factored form of 16d - 12 is 2(8d - 6), or simply 2 * (8d - 6).
what?
Apologies for the confusion in my previous response.
To factor the expression 16d - 12 using the greatest common factor (GCF), we need to find the largest factor that can divide both terms evenly.
The GCF of 16 and 12 is 4.
To factor out the GCF from each term, divide both terms by the GCF:
16d / 4 = 4d
12 / 4 = 3
So, the factored
To factor the expression 16d - 12 using the greatest common factor (GCF), we need to find the largest factor that can divide both terms evenly.
The GCF of 16 and 12 is 4.
To factor out the GCF from each term, divide both terms by the GCF:
16d / 4 = 4d
12 / 4 = 3
So, the factored
what the end