Simplify the expression (h+12) + (p+24) a hp+36 b h+p+26 c hp+288 d 12h+24
The simplified expression is (h + p) + 36, therefore the correct answer is a) hp + 36.
Simplify the expression 9/4 times +4+2x
A: 15x+12
B:5x+4
C:x+4
D: 11/3x +4
To simplify the expression 9/4 times +4+2x, we can first simplify the multiplication:
9/4 * 4 = (9 * 4) / 4 = 9
So the expression becomes:
9 + 2x = 2x + 9
Therefore, the correct answer is C) x + 9
Simplify this expression
(5y-1) + (-2y+4)
Answer choices:
A 3y-5
B 7y+3
C 3y+3
D7y-5
To simplify the expression (5y-1) + (-2y+4), we can combine like terms:
Combine the y terms: 5y - 2y = 3y
Combine the constant terms: -1 + 4 = 3
Therefore, the simplified expression is 3y + 3, so the correct answer is C) 3y+3.
Simplify this expression
(3/4x-1) + 3/4x-2)
Answer choices:
A 1
B 3/4x+1
C -3
D 3/2x-3
To simplify the expression (3/4x-1) + (3/4x-2), we can combine like terms:
Combine the x terms: (3/4x) + (3/4x) = (6/4)x = (3/2)x
Combine the constant terms: -1 + (-2) = -3
Therefore, the simplified expression is (3/2)x - 3, so the correct answer is D) 3/2x-3.
Simplify this expression
7x+3(x-2)-4x+8
Answer choices:
A 6x+14
B 6x+2
C 14x+2
D 14x+14
To simplify the expression 7x+3(x-2)-4x+8, we can apply the distributive property and combine like terms:
First, simplify the expression inside the parentheses: 3(x-2) = 3x - 6
Now, rewrite the expression with the simplified expression: 7x + (3x - 6) - 4x + 8
Next, remove the parentheses and combine like terms: 7x + 3x - 6 - 4x + 8
Combine the x terms: 7x + 3x - 4x = 6x
Combine the constant terms: -6 + 8 = 2
The simplified expression is 6x + 2, so the correct answer is B) 6x + 2.
Simplify this expression
(3x-8)+(2x+5)-(4x-8)
Answer choices:
A 9x-11
B x+5
C 9x+5
D x-11
To simplify the expression (3x - 8) + (2x + 5) - (4x - 8), we can remove the parentheses and combine like terms:
First, remove the parentheses: 3x - 8 + 2x + 5 - 4x + 8
Combine the x terms: 3x + 2x - 4x = x
Combine the constant terms: -8 + 5 + 8 = 5
The simplified expression is x + 5, so the correct answer is B) x + 5.
Which expression is equivalent to 2.2-0.5 (0.6x -1.8)?
A 1.3-0.3x
B 0.3x+3.1
C 0.3x+3.1
D 3.1 - 0.3x
To simplify the expression 2.2 - 0.5 (0.6x - 1.8), we can apply the distributive property:
2.2 - 0.5 (0.6x - 1.8) = 2.2 - 0.3x + 0.9
Combine like terms: 2.2 + 0.9 = 3.1
The simplified expression is 3.1 - 0.3x, so the correct answer is D) 3.1 - 0.3x.
Simplify
-6 (1/4x-2/3x+5/6x)
Answer choices:
A -x
B -2 1/2x
C 3/4x
D 2x
To simplify the expression -6 (1/4x - 2/3x + 5/6x), we can apply the distributive property:
-6 (1/4x - 2/3x + 5/6x) = -6 * 1/4x + (-6) * (-2/3x) + (-6) * (5/6x)
Simplify each term:
-6 * 1/4x = -6/4x = -3/2x
-6 * (-2/3x) = 12/3x = 4x
-6 * (5/6x) = -30/6x = -5x
Combine like terms:
-3/2x + 4x - 5x = -3/2x - 1x = -5/2x
The simplified expression is -5/2x, so the correct answer is: A) -5/2x.
But A is -x?
Apologies for the confusion. Let's double-check the calculation.
-6 (1/4x - 2/3x + 5/6x)
Begin by simplifying the expression inside the parentheses:
1/4x - 2/3x + 5/6x
To add or subtract fractions, we need a common denominator. In this case, the least common multiple of 4, 3, and 6 is 12.
Rewrite the fractions with the common denominator:
3/12x - 8/12x + 10/12x
Combine like terms:
(3/12 - 8/12 + 10/12)x
(-5/12)x
Now, multiply by -6:
-6 * (-5/12)x
(30/12)x
(5/2)x
So the simplified expression is (5/2)x, which is equivalent to B) (5/2)x
But B is -2 1/2x ?
Apologies for the incorrect response. Let's re-evaluate the expression.
-6 (1/4x - 2/3x + 5/6x)
Begin by simplifying the expression inside the parentheses:
1/4x - 2/3x + 5/6x
To add or subtract fractions, we need a common denominator. In this case, the least common multiple of 4, 3, and 6 is 12.
Rewrite the fractions with the common denominator:
3/12x - 8/12x + 10/12x
Combine like terms:
(3 - 8 + 10)/12x
(5)/12x
Now, multiply by -6:
-6 * (5)/12x
(-30)/12x
(-5/2)x
So the simplified expression is (-5/2)x, which is equivalent to B) (-2 1/2x).
Simplify
-1/2 (-6+3)
Answer choices:
A -3x-3
B -3x+3/2
C 2x+3
D 3x-3/2
To simplify -1/2 (-6 + 3), we can start by simplifying the expression inside the parentheses:
-1/2 (-6 + 3) = -1/2 * -3 = 3/2
Therefore, the simplified expression is 3/2. However, none of the answer choices provided match this result. It is possible that there may be a mistake in the answer choices or the question itself.
So is it a b c or d?
Apologies for the confusion. Given the options provided, the closest answer choice to the simplified expression is B) -3x + 3/2. Although it is not an exact match, it is the option that most closely represents the expression 3/2.
Simplify
11-9 (-2x-3)
Answer choices:
A -4x-6
B 18x-38
C -4x+6
D 18x+38
To simplify the expression 11 - 9(-2x - 3), we can apply the distributive property:
11 - 9(-2x - 3) = 11 + 18x + 27
Combine like terms:
11 + 18x + 27 = 38 + 18x
Therefore, the simplified expression is 18x + 38, so the correct answer is D) 18x + 38.
Factor this expression completely.
35x-40
Answer choices:
A 7 (5x+8)
B 7 5x-8)
C 5 (7x+8)
D 5 (7x-8)
To factor the expression 35x - 40 completely, we can look for the greatest common factor (GCF) of the terms 35x and -40.
The GCF of 35x and -40 is 5, since 5 is a common factor of both terms.
Dividing both terms by 5, we get:
35x/5 - 40/5 = 7x - 8
Therefore, the expression 35x - 40 can be factored as 5(7x - 8), which corresponds to answer choice D) 5(7x - 8).
Factor the expression completely
45x -18y + 36
Answer choices:
A 5 (9x-2y+4)
B -9 (5x + 2y+4)
C 9(5x-2y+4)
D 9y (5x-2y+4)
To factor the expression completely, we can look for the greatest common factor (GCF) of the terms 45x, -18y, and 36.
The GCF of 45x, -18y, and 36 is 9, since 9 is a common factor of all three terms.
Dividing each term by 9, we get:
45x/9 - 18y/9 + 36/9 = 5x - 2y + 4
Therefore, the expression 45x - 18y + 36 can be factored as 9(5x - 2y + 4), which corresponds to answer choice C) 9(5x - 2y + 4).
Factor the expression completely
-21x+28
Answer choices:
A -7(3x-4)
B -7(3x+4)
C 7(3x-4)
D -(21x-4)
To factor the expression -21x + 28, we can look for the greatest common factor (GCF) of the terms -21x and 28.
The GCF of -21x and 28 is 7, since 7 is a common factor of both terms.
Dividing both terms by 7, we get:
(-21x)/7 + 28/7 = -3x + 4
Therefore, the expression -21x + 28 can be factored as 7(-3x + 4), which corresponds to answer choice A) -7(3x - 4).
Which factorization is equivalent to this expression?
-42k-54
(1point)
A-6(7k-9)
B 6(-7k+9)
C -6(7k+9)
D 6(7k+9)
To factor the expression -42k - 54, we can look for the greatest common factor (GCF) of the terms -42k and -54.
The GCF of -42k and -54 is 6, since 6 is a common factor of both terms.
Dividing both terms by 6, we get:
(-42k)/6 - 54/6 = -7k - 9
Therefore, the expression -42k - 54 can be factored as 6(-7k - 9), which corresponds to answer choice B) 6(-7k + 9).
Factor the expression completely
100x+1000
To factor the expression completely, we can first notice that there is a common factor of 100 in each term.
We can factor out 100 from both terms:
100x + 1000 = 100(x + 10)
Therefore, the expression 100x + 1000 can be factored as 100(x + 10).
Simplify 3-(4x-5)+6
To simplify the expression 3 - (4x - 5) + 6, we can begin by simplifying the expression inside the parentheses:
- (4x - 5) = -4x + 5
Now we can rewrite the expression with the simplified expression:
3 - (-4x + 5) + 6
Next, apply the negative sign (-) to each term inside the parentheses:
3 + (-4x) + 5 + 6
Combine like terms:
3 + 5 + 6 = 14
Now, rewrite the expression:
14 - 4x
Therefore, the simplified expression is 14 - 4x.
The answer choices for that question is:
A -4x+14
B 4x+4
C 12x+21
D -4x+4
Apologies for the confusion. Let's re-evaluate the expression to match the given answer choices.
To simplify the expression 3 - (4x - 5), we can distribute the negative sign to the terms inside the parentheses:
3 - (4x - 5) = 3 - 4x + 5
Combine like terms:
3 + 5 = 8
Therefore, the simplified expression is 8 - 4x. However, none of the provided answer choices match this result. It appears that there might be a mistake in the answer choices.
Simplify the expression.
0.625 + 3/4
A 11/8
B 3/2
C 11/9
D 8/11
To simplify the expression 0.625 + 3/4, we need to find a common denominator for the two terms.
The decimal 0.625 can be rewritten as a fraction by placing it over its place value: 0.625 = 625/1000 = 5/8.
Now we have 5/8 + 3/4.
To find a common denominator, we can multiply the denominator of the first fraction (8) by the denominator of the second fraction (4), which gives us a common denominator of 8 * 4 = 32.
Now we can rewrite the fractions with the common denominator:
5/8 + 3/4 = (5 * 4)/32 + (3 * 8)/32 = 20/32 + 24/32 = 44/32.
Next, we can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 4. Divide the numerator and denominator by 4:
44/32 = (11 * 4)/(8 * 4) = 11/8.
Therefore, the simplified expression is 11/8, which corresponds to answer choice A) 11/8.
Divide
- 4/17 divided by - 3/4
A -3/17
To divide -4/17 by -3/4, we can multiply the first fraction by the reciprocal of the second fraction:
-4/17 ÷ -3/4 = -4/17 * -4/3
Multiplying the numerators and denominators, we get:
(-4 * -4) / (17 * 3) = 16 / 51
Therefore, the simplified result of -4/17 divided by -3/4 is 16/51. The given answer choice is not correct as it states -3/17.
Divide.
1 4/17 divided by -3/4
A -3/17
B 3/17
C 16.51
D 16/51
To divide 1 4/17 by -3/4, we first need to convert the mixed number into an improper fraction.
1 4/17 can be written as (17 * 1 + 4)/17 = 21/17.
Now we can divide 21/17 by -3/4:
(21/17) ÷ (-3/4) = (21/17) * (-4/3)
Multiply the numerators and denominators:
(21 * -4) / (17 * 3) = -84/51
Now, we can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 3. Divide the numerator and denominator by 3:
(-84/3) / (51/3) = -28/17
Therefore, the result of 1 4/17 divided by -3/4 is -28/17, which corresponds to none of the given answer choices.
Divide.
1 4/17 divided by -3/4
ANSWER CHOICES
A -3/17
B 3/17
C 16.51
D 16/51
To divide 1 4/17 by -3/4, we need to convert the mixed
Whats the answer?
Is it 3/17?
At Georgia Connections Academy, of the students are in a club. Of the students in a club,
participate in eSports club. What fraction of the students at GACA participate in eSports?
(1 point)
A 1/10
B 1/5
C 2/9
D 2/3