Simplify the expression.
(h+12)+(p+24)
(1 point)
23 answers
h+p+36
Simplify the expression.
9/4x+4+2x
(1 point)
Responses
9/4x+4+2x
(1 point)
Responses
11/4x + 4
are you sure?
Apologies for the confusion. Let me correct the expression.
The simplified expression is 7/4x + 4.
The simplified expression is 7/4x + 4.
that is not an answer choice.
I apologize for the confusion. To simplify the expression 9/4x + 4 + 2x, we can combine like terms:
9/4x + 2x + 4
To combine the x terms, we need to find a common denominator for 9/4x and 2x, which is 4x.
Multiplying the first term by x/x and the second term by 4/4, we get:
(9x + 8x)/4x + 4
Combining the x terms:
17x/4x + 4
Simplifying further, the expression becomes:
17/4 + 4
9/4x + 2x + 4
To combine the x terms, we need to find a common denominator for 9/4x and 2x, which is 4x.
Multiplying the first term by x/x and the second term by 4/4, we get:
(9x + 8x)/4x + 4
Combining the x terms:
17x/4x + 4
Simplifying further, the expression becomes:
17/4 + 4
Simplify the expression.
(5y−1)+(−2y+4)
(1 point)
(5y−1)+(−2y+4)
(1 point)
To simplify the expression, we can combine like terms:
(5y - 1) + (-2y + 4)
Removing the parentheses:
5y - 1 - 2y + 4
Combining the y terms:
(5y - 2y) - 1 + 4
3y - 1 + 4
Combining the constants:
3y + 3
So, the simplified expression is 3y + 3.
(5y - 1) + (-2y + 4)
Removing the parentheses:
5y - 1 - 2y + 4
Combining the y terms:
(5y - 2y) - 1 + 4
3y - 1 + 4
Combining the constants:
3y + 3
So, the simplified expression is 3y + 3.
Simplify the expression.
(3/4x−1)+(3/4x−2)
(1 point)
Responses
(3/4x−1)+(3/4x−2)
(1 point)
Responses
To simplify the expression, we can combine like terms:
(3/4x - 1) + (3/4x - 2)
Removing the parentheses:
3/4x - 1 + 3/4x - 2
Combining the like terms:
(3/4x + 3/4x) - 1 - 2
6/4x - 3
Simplifying further:
3/2x - 3
So, the simplified expression is 3/2x - 3.
(3/4x - 1) + (3/4x - 2)
Removing the parentheses:
3/4x - 1 + 3/4x - 2
Combining the like terms:
(3/4x + 3/4x) - 1 - 2
6/4x - 3
Simplifying further:
3/2x - 3
So, the simplified expression is 3/2x - 3.
Simplify the expression.
7x+3(x−2)−4x+8
(1 point)
Responses
7x+3(x−2)−4x+8
(1 point)
Responses
To simplify the expression, we can use the distributive property:
7x + 3(x - 2) - 4x + 8
Distributing 3 to each term inside the parentheses:
7x + 3x - 6 - 4x + 8
Combining like terms:
(7x - 4x + 3x) - 6 + 8
6x - 6 + 8
6x + 2
So, the simplified expression is 6x + 2.
7x + 3(x - 2) - 4x + 8
Distributing 3 to each term inside the parentheses:
7x + 3x - 6 - 4x + 8
Combining like terms:
(7x - 4x + 3x) - 6 + 8
6x - 6 + 8
6x + 2
So, the simplified expression is 6x + 2.
Simplify the expression.
(3x−8)+(2x+5)−(4x−8)
(1 point)
Responses
(3x−8)+(2x+5)−(4x−8)
(1 point)
Responses
To simplify the expression, we can start by removing the parentheses:
(3x - 8) + (2x + 5) - (4x - 8)
Next, we can remove the parentheses within the parentheses:
3x - 8 + 2x + 5 - 4x + 8
Now, we can combine like terms:
(3x + 2x - 4x) + (-8 + 5 + 8)
Simplifying within the parenthesis, we have:
x + 5
So, the simplified expression is x + 5.
(3x - 8) + (2x + 5) - (4x - 8)
Next, we can remove the parentheses within the parentheses:
3x - 8 + 2x + 5 - 4x + 8
Now, we can combine like terms:
(3x + 2x - 4x) + (-8 + 5 + 8)
Simplifying within the parenthesis, we have:
x + 5
So, the simplified expression is x + 5.
Which expression is equivalent to 2.2−0.5(0.6x−1.8)
?(1 point)
?(1 point)
To simplify the expression, we can start by applying the distributive property:
2.2 - 0.5(0.6x - 1.8)
Multiplying 0.5 by each term inside the parentheses:
2.2 - 0.3x + 0.9
Now, we can combine like terms by adding the constants:
2.2 + 0.9 - 0.3x
Simplifying further:
3.1 - 0.3x
So, the equivalent expression is 3.1 - 0.3x.
2.2 - 0.5(0.6x - 1.8)
Multiplying 0.5 by each term inside the parentheses:
2.2 - 0.3x + 0.9
Now, we can combine like terms by adding the constants:
2.2 + 0.9 - 0.3x
Simplifying further:
3.1 - 0.3x
So, the equivalent expression is 3.1 - 0.3x.
Simplify.
−6(1/4x−2/3x+5/6x)
(1 point)
Responses
−6(1/4x−2/3x+5/6x)
(1 point)
Responses
To simplify the expression, we can start by using the distributive property:
-6(1/4x - 2/3x + 5/6x)
Multiplying -6 by each term inside the parentheses:
-6/4x + 12/3x - 30/6x
Simplifying the fractions:
-3/2x + 4x - 5/2x
Combining like terms:
(-3/2x - 5/2x) + 4x
-8/2x + 4x
Simplifying further:
-4/x + 4x
So, the simplified expression is -4/x + 4x.
-6(1/4x - 2/3x + 5/6x)
Multiplying -6 by each term inside the parentheses:
-6/4x + 12/3x - 30/6x
Simplifying the fractions:
-3/2x + 4x - 5/2x
Combining like terms:
(-3/2x - 5/2x) + 4x
-8/2x + 4x
Simplifying further:
-4/x + 4x
So, the simplified expression is -4/x + 4x.
(1/4x−2/3x+5/6x)
To simplify the expression (1/4x - 2/3x + 5/6x), we need to find a common denominator for the fractions.
The common denominator for 4, 3, and 6 is 12.
Now, we can rewrite each fraction with the common denominator:
(3/12x - 8/12x + 10/12x)
Combining the numerators, we have:
(3 - 8 + 10)/12x
Simplifying the numerator:
(5)/12x
So, the simplified expression is 5/12x.
The common denominator for 4, 3, and 6 is 12.
Now, we can rewrite each fraction with the common denominator:
(3/12x - 8/12x + 10/12x)
Combining the numerators, we have:
(3 - 8 + 10)/12x
Simplifying the numerator:
(5)/12x
So, the simplified expression is 5/12x.
Simplify.
−6(1/4x - 2/3x + 5/6x)
(1 point)
A. −x
B. −2 1/2x
C. 3/4x
D. 2x
−6(1/4x - 2/3x + 5/6x)
(1 point)
A. −x
B. −2 1/2x
C. 3/4x
D. 2x
To simplify the expression, we can start by using the distributive property:
-6(1/4x - 2/3x + 5/6x)
Multiplying -6 by each term inside the parentheses:
-6(1/4x) + (-6)(-2/3x) + (-6)(5/6x)
Simplifying each term:
-6/4x + 12/3x - 30/6x
Simplifying the fractions:
-3/2x + 8/2x - 5/2x
Combining like terms:
(-3/2x + 8/2x - 5/2x)
(-3 + 8 - 5)/2x
(0)/2x
0/2x = 0
So, the simplified expression is 0.
The correct answer is not provided in the options.
-6(1/4x - 2/3x + 5/6x)
Multiplying -6 by each term inside the parentheses:
-6(1/4x) + (-6)(-2/3x) + (-6)(5/6x)
Simplifying each term:
-6/4x + 12/3x - 30/6x
Simplifying the fractions:
-3/2x + 8/2x - 5/2x
Combining like terms:
(-3/2x + 8/2x - 5/2x)
(-3 + 8 - 5)/2x
(0)/2x
0/2x = 0
So, the simplified expression is 0.
The correct answer is not provided in the options.