To solve for x, we will first distribute the 2 to both terms inside the parentheses:
2(1.5x - 7) = 6
3x - 14 = 6
Next, we will add 14 to both sides of the equation to isolate the variable x:
3x = 6 + 14
3x = 20
Finally, divide both sides of the equation by 3 to solve for x:
x = 20/3
Simplifying the fraction, we get:
x = 6.67
Therefore, the correct answer is x = 6.67.
Solve for x.
2(1.5x−7)=6
(1 point)
Responses
x = 0.67
x = 0.67
x = 7
x = 7
x = 6.67
x = 6.67
x = 9.5
11 answers
Solve for x.
5x−2x+4=−5
(1 point)
Responses
x = -1
x = -1
x = 5
x = 5
x = -3
x = -3
x = 3
5x−2x+4=−5
(1 point)
Responses
x = -1
x = -1
x = 5
x = 5
x = -3
x = -3
x = 3
To solve for x, we will combine like terms on the left side of the equation:
5x - 2x + 4 = -5
Combining the x terms, we get:
3x + 4 = -5
Next, we will subtract 4 from both sides of the equation to isolate the variable x:
3x = -5 - 4
3x = -9
Finally, divide both sides of the equation by 3 to solve for x:
x = -9/3
Simplifying the fraction, we get:
x = -3
Therefore, the correct answer is x = -3.
5x - 2x + 4 = -5
Combining the x terms, we get:
3x + 4 = -5
Next, we will subtract 4 from both sides of the equation to isolate the variable x:
3x = -5 - 4
3x = -9
Finally, divide both sides of the equation by 3 to solve for x:
x = -9/3
Simplifying the fraction, we get:
x = -3
Therefore, the correct answer is x = -3.
Solve for x.
9x+9x−21=33
(1 point)
Responses
x = 6
x = 6
x = 3
x = 3
x = 8
x = 8
x = 1
9x+9x−21=33
(1 point)
Responses
x = 6
x = 6
x = 3
x = 3
x = 8
x = 8
x = 1
To solve for x, we combine like terms on the left side of the equation:
9x + 9x - 21 = 33
Combining the x terms, we get:
18x - 21 = 33
Next, we will add 21 to both sides of the equation to isolate the variable x:
18x = 33 + 21
18x = 54
Finally, divide both sides of the equation by 18 to solve for x:
x = 54/18
Simplifying the fraction, we get:
x = 3
Therefore, the correct answer is x = 3.
9x + 9x - 21 = 33
Combining the x terms, we get:
18x - 21 = 33
Next, we will add 21 to both sides of the equation to isolate the variable x:
18x = 33 + 21
18x = 54
Finally, divide both sides of the equation by 18 to solve for x:
x = 54/18
Simplifying the fraction, we get:
x = 3
Therefore, the correct answer is x = 3.
Solve for x.
14x−3x+11=−22
(1 point)
Responses
x = -11
x = -11
x = -3
x = -3
x = 7
x = 7
x = 11
14x−3x+11=−22
(1 point)
Responses
x = -11
x = -11
x = -3
x = -3
x = 7
x = 7
x = 11
To solve for x, we combine like terms on the left side of the equation:
14x - 3x + 11 = -22
Combining the x terms, we get:
11x + 11 = -22
Next, we will subtract 11 from both sides of the equation to isolate the variable x:
11x = -22 - 11
11x = -33
Finally, divide both sides of the equation by 11 to solve for x:
x = -33/11
Simplifying the fraction, we get:
x = -3
Therefore, the correct answer is x = -3.
14x - 3x + 11 = -22
Combining the x terms, we get:
11x + 11 = -22
Next, we will subtract 11 from both sides of the equation to isolate the variable x:
11x = -22 - 11
11x = -33
Finally, divide both sides of the equation by 11 to solve for x:
x = -33/11
Simplifying the fraction, we get:
x = -3
Therefore, the correct answer is x = -3.
At Mariah's birthday party, 9 of her friends ate 3/4
of her chocolate cake. How much of the cake did each friend eat?(1 point)
Responses
12
12
6 3/4
1/9
1/12
of her chocolate cake. How much of the cake did each friend eat?(1 point)
Responses
12
12
6 3/4
1/9
1/12
To find how much of the cake each friend ate, we need to divide the total amount of cake consumed by the number of friends.
If 9 of her friends ate 3/4 of the cake, we can find the amount each friend ate by dividing 3/4 by 9:
(3/4) ÷ 9 = 3/4 × 1/9 = 3/36 = 1/12
Therefore, each friend ate 1/12 of the cake.
If 9 of her friends ate 3/4 of the cake, we can find the amount each friend ate by dividing 3/4 by 9:
(3/4) ÷ 9 = 3/4 × 1/9 = 3/36 = 1/12
Therefore, each friend ate 1/12 of the cake.
The product of 9 and the sum of a number and 8 is 180. What is the number?(1 point)
Responses
12
12
6
6
18
18
4
Responses
12
12
6
6
18
18
4
Let's call the number we are trying to find "x".
The given information states that the product of 9 and the sum of "x" and 8 is 180. We can express this as an equation:
9(x + 8) = 180
Next, we will distribute the 9 to both terms inside the parentheses:
9x + 72 = 180
Now, we will subtract 72 from both sides of the equation to isolate the variable "x":
9x = 180 - 72
9x = 108
Finally, divide both sides of the equation by 9 to solve for "x":
x = 108/9
Simplifying the fraction, we get:
x = 12
Therefore, the correct answer is x = 12.
The given information states that the product of 9 and the sum of "x" and 8 is 180. We can express this as an equation:
9(x + 8) = 180
Next, we will distribute the 9 to both terms inside the parentheses:
9x + 72 = 180
Now, we will subtract 72 from both sides of the equation to isolate the variable "x":
9x = 180 - 72
9x = 108
Finally, divide both sides of the equation by 9 to solve for "x":
x = 108/9
Simplifying the fraction, we get:
x = 12
Therefore, the correct answer is x = 12.