Question
To solve the equation 5/8(x−1/
2)=10 , the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)
2)=10 , the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)
Answers
Answer
To solve the equation 4.72(x−6.56)=10.4 , the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?(1 point)
Answer
What is the solution of the equation 8/
9(x+12)=32/3 when solving for x ?(1 point)
9(x+12)=32/3 when solving for x ?(1 point)
Answer
What is the solution of the equation 8/9(x+1/2)=32/
3 when solving for x ?(1 point)
3 when solving for x ?(1 point)
Answer
wrong
Answer
still wrong
Answered by
GPT 3.5
To reverse the multiplication, we need to divide both sides of the equation by the coefficient in front of the variable x, which in this case is 5/8.
Therefore, both sides should be divided by 5/8.
Therefore, both sides should be divided by 5/8.
Answered by
GPT 3.5
After dividing both sides of the equation by 4.72 to reverse the multiplication, we are left with:
(x - 6.56) = 10.4 / 4.72
To isolate the variable x, we can simplify the right side of the equation further by dividing 10.4 by 4.72:
(x - 6.56) = 2.20339...
To isolate x, we need to get rid of the -6.56 on the left side. Since -6.56 is being subtracted from x, we can add 6.56 to both sides of the equation.
(x - 6.56) + 6.56 = 2.20339... + 6.56
On the left side, the -6.56 and +6.56 cancel each other out:
x = 2.20339... + 6.56
To simplify the right side, we can add the values:
x ≈ 8.76339...
Therefore, the number that should be added to both sides is 6.56.
(x - 6.56) = 10.4 / 4.72
To isolate the variable x, we can simplify the right side of the equation further by dividing 10.4 by 4.72:
(x - 6.56) = 2.20339...
To isolate x, we need to get rid of the -6.56 on the left side. Since -6.56 is being subtracted from x, we can add 6.56 to both sides of the equation.
(x - 6.56) + 6.56 = 2.20339... + 6.56
On the left side, the -6.56 and +6.56 cancel each other out:
x = 2.20339... + 6.56
To simplify the right side, we can add the values:
x ≈ 8.76339...
Therefore, the number that should be added to both sides is 6.56.
Answered by
GPT 3.5
To solve the equation 8/9(x + 12) = 32/3 for x, we need to isolate the variable x.
First, we can simplify the equation by multiplying both sides of the equation by the reciprocal of 8/9, which is 9/8.
(9/8)*(8/9)(x + 12) = (9/8)*(32/3)
On the left side, we can cancel out the 8/9 and 9/8:
(x + 12) = (32/3)*(9/8)
Simplifying the right side, we multiply 32/3 by 9/8:
(x + 12) = 288/24
Now, we can simplify the right side further by dividing 288 by 24:
(x + 12) = 12
To solve for x, we subtract 12 from both sides of the equation:
(x + 12) - 12 = 12 - 12
On the left side, the 12 and -12 cancel each other out:
x = 0
Therefore, the solution of the equation 8/9(x + 12) = 32/3 when solving for x is x = 0.
First, we can simplify the equation by multiplying both sides of the equation by the reciprocal of 8/9, which is 9/8.
(9/8)*(8/9)(x + 12) = (9/8)*(32/3)
On the left side, we can cancel out the 8/9 and 9/8:
(x + 12) = (32/3)*(9/8)
Simplifying the right side, we multiply 32/3 by 9/8:
(x + 12) = 288/24
Now, we can simplify the right side further by dividing 288 by 24:
(x + 12) = 12
To solve for x, we subtract 12 from both sides of the equation:
(x + 12) - 12 = 12 - 12
On the left side, the 12 and -12 cancel each other out:
x = 0
Therefore, the solution of the equation 8/9(x + 12) = 32/3 when solving for x is x = 0.
Answered by
GPT 3.5
To solve the equation 8/9(x + 1/2) = 32/3 for x, we need to isolate the variable x.
First, we can simplify the equation by multiplying both sides of the equation by the reciprocal of 8/9, which is 9/8.
(9/8)*(8/9)(x + 1/2) = (9/8)*(32/3)
On the left side, we can cancel out the 8/9 and 9/8:
(x + 1/2) = (32/3)*(9/8)
Simplifying the right side, we multiply 32/3 by 9/8:
(x + 1/2) = 288/24
Now, we can simplify the right side further by dividing 288 by 24:
(x + 1/2) = 12/1
To solve for x, we subtract 1/2 from both sides of the equation:
(x + 1/2) - 1/2 = 12/1 - 1/2
On the left side, the 1/2 and -1/2 cancel each other out:
x = 11/2
Therefore, the solution of the equation 8/9(x + 1/2) = 32/3 when solving for x is x = 11/2.
First, we can simplify the equation by multiplying both sides of the equation by the reciprocal of 8/9, which is 9/8.
(9/8)*(8/9)(x + 1/2) = (9/8)*(32/3)
On the left side, we can cancel out the 8/9 and 9/8:
(x + 1/2) = (32/3)*(9/8)
Simplifying the right side, we multiply 32/3 by 9/8:
(x + 1/2) = 288/24
Now, we can simplify the right side further by dividing 288 by 24:
(x + 1/2) = 12/1
To solve for x, we subtract 1/2 from both sides of the equation:
(x + 1/2) - 1/2 = 12/1 - 1/2
On the left side, the 1/2 and -1/2 cancel each other out:
x = 11/2
Therefore, the solution of the equation 8/9(x + 1/2) = 32/3 when solving for x is x = 11/2.
Answered by
GPT 3.5
Apologies for the mistake.
To solve the equation 8/9(x + 1/2) = 32/3 for x, we need to isolate the variable x.
First, let's simplify the left side of the equation by applying the distributive property:
8/9(x) + 8/9(1/2) = 32/3
Multiplying 8/9 by x and 8/9 by 1/2:
8/9 * x + 4/9 = 32/3
Next, let's get rid of the fraction by multiplying the entire equation by the reciprocal of 8/9, which is 9/8:
(9/8)(8/9 * x + 4/9) = (9/8)(32/3)
On the left side, the 8/9 and 9/8 cancel each other out:
(x) + (9/8)(4/9) = (9/8)(32/3)
Simplifying the right side:
(x) + 4/8 = 36/8
Combining like terms:
x + 1/2 = 9/2
To isolate x, we subtract 1/2 from both sides:
x + 1/2 - 1/2 = 9/2 - 1/2
On the left side, the 1/2 and -1/2 cancel each other out:
x = 8/2
Simplifying the right side:
x = 4
Therefore, the solution to the equation 8/9(x + 1/2) = 32/3 when solving for x is x = 4.
To solve the equation 8/9(x + 1/2) = 32/3 for x, we need to isolate the variable x.
First, let's simplify the left side of the equation by applying the distributive property:
8/9(x) + 8/9(1/2) = 32/3
Multiplying 8/9 by x and 8/9 by 1/2:
8/9 * x + 4/9 = 32/3
Next, let's get rid of the fraction by multiplying the entire equation by the reciprocal of 8/9, which is 9/8:
(9/8)(8/9 * x + 4/9) = (9/8)(32/3)
On the left side, the 8/9 and 9/8 cancel each other out:
(x) + (9/8)(4/9) = (9/8)(32/3)
Simplifying the right side:
(x) + 4/8 = 36/8
Combining like terms:
x + 1/2 = 9/2
To isolate x, we subtract 1/2 from both sides:
x + 1/2 - 1/2 = 9/2 - 1/2
On the left side, the 1/2 and -1/2 cancel each other out:
x = 8/2
Simplifying the right side:
x = 4
Therefore, the solution to the equation 8/9(x + 1/2) = 32/3 when solving for x is x = 4.
Answered by
GPT 3.5
Apologies for the continued mistake.
To solve the equation 8/9(x + 1/2) = 32/3 for x, we need to isolate the variable x.
First, let's simplify the left side of the equation by applying the distributive property:
8/9(x) + 8/9(1/2) = 32/3
Multiplying 8/9 by x and 8/9 by 1/2:
8/9 * x + 4/18 = 32/3
Simplifying the right side:
8/9x + 2/9 = 32/3
To get rid of the fraction, we can multiply the entire equation by the reciprocal of 8/9, which is 9/8:
(9/8)(8/9x + 2/9) = (9/8)(32/3)
On the left side, the 8/9 and 9/8 cancel each other out:
x + (9/8)(2/9) = (9/8)(32/3)
Simplifying the right side:
x + 2/8 = 36/8
Combining like terms:
x + 1/4 = 9/2
To isolate x, we subtract 1/4 from both sides:
x + 1/4 - 1/4 = 9/2 - 1/4
On the left side, the 1/4 and -1/4 cancel each other out:
x = 9/2 - 1/4
To simplify the right side:
x = 18/4 - 1/4
x = 17/4
Therefore, the solution to the equation 8/9(x + 1/2) = 32/3 when solving for x is x = 17/4.
To solve the equation 8/9(x + 1/2) = 32/3 for x, we need to isolate the variable x.
First, let's simplify the left side of the equation by applying the distributive property:
8/9(x) + 8/9(1/2) = 32/3
Multiplying 8/9 by x and 8/9 by 1/2:
8/9 * x + 4/18 = 32/3
Simplifying the right side:
8/9x + 2/9 = 32/3
To get rid of the fraction, we can multiply the entire equation by the reciprocal of 8/9, which is 9/8:
(9/8)(8/9x + 2/9) = (9/8)(32/3)
On the left side, the 8/9 and 9/8 cancel each other out:
x + (9/8)(2/9) = (9/8)(32/3)
Simplifying the right side:
x + 2/8 = 36/8
Combining like terms:
x + 1/4 = 9/2
To isolate x, we subtract 1/4 from both sides:
x + 1/4 - 1/4 = 9/2 - 1/4
On the left side, the 1/4 and -1/4 cancel each other out:
x = 9/2 - 1/4
To simplify the right side:
x = 18/4 - 1/4
x = 17/4
Therefore, the solution to the equation 8/9(x + 1/2) = 32/3 when solving for x is x = 17/4.
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