2(1.5x - 7) = 6
Distribute 2 to both terms inside the parentheses:
3x - 14 = 6
Add 14 to both sides to isolate the variable:
3x = 20
Divide both sides by 3:
x = 20/3
The solution is x = 20/3.
Solve for x.
2(1.5x−7)=6
11 answers
Solve for x.
5x−2x+4=−5
5x−2x+4=−5
To solve for x, we can combine like terms and isolate the variable:
5x - 2x + 4 = -5
Combine like terms:
3x + 4 = -5
Subtract 4 from both sides:
3x = -5 - 4
3x = -9
Divide both sides by 3:
x = -9/3
Simplify:
x = -3
The solution is x = -3.
5x - 2x + 4 = -5
Combine like terms:
3x + 4 = -5
Subtract 4 from both sides:
3x = -5 - 4
3x = -9
Divide both sides by 3:
x = -9/3
Simplify:
x = -3
The solution is x = -3.
Solve for x.
9x+9x−21=33
9x+9x−21=33
To solve for x, we can combine like terms and isolate the variable:
9x + 9x - 21 = 33
Combine like terms:
18x - 21 = 33
Add 21 to both sides:
18x = 54
Divide both sides by 18:
x = 54/18
Simplify:
x = 3
The solution is x = 3.
9x + 9x - 21 = 33
Combine like terms:
18x - 21 = 33
Add 21 to both sides:
18x = 54
Divide both sides by 18:
x = 54/18
Simplify:
x = 3
The solution is x = 3.
Solve for x.
14x−3x+11=−22
14x−3x+11=−22
To solve for x, we can combine like terms and isolate the variable:
14x - 3x + 11 = -22
Combine like terms:
11x + 11 = -22
Subtract 11 from both sides:
11x = -33
Divide both sides by 11:
x = -33/11
Simplify:
x = -3
The solution is x = -3.
14x - 3x + 11 = -22
Combine like terms:
11x + 11 = -22
Subtract 11 from both sides:
11x = -33
Divide both sides by 11:
x = -33/11
Simplify:
x = -3
The solution 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)
To find out how much of the cake each friend ate, we can divide the total amount of cake eaten by the number of friends who ate it.
9 friends ate 3/4 of the cake, so we can express the amount each friend ate as (3/4) divided by 9.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 9 is 1/9.
So we have: (3/4) * (1/9)
Multiplying the numerators (3 * 1) gives us 3, and multiplying the denominators (4 * 9) gives us 36.
Therefore, each friend ate 3/36 of the cake.
Simplifying this fraction, we get 1/12.
So each friend ate 1/12 of the cake.
9 friends ate 3/4 of the cake, so we can express the amount each friend ate as (3/4) divided by 9.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 9 is 1/9.
So we have: (3/4) * (1/9)
Multiplying the numerators (3 * 1) gives us 3, and multiplying the denominators (4 * 9) gives us 36.
Therefore, each friend ate 3/36 of the cake.
Simplifying this fraction, we get 1/12.
So 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)
Let's call the number we're trying to find "x".
The sum of the number and 8 can be written as (x + 8).
The product of 9 and this sum is 9(x + 8), which is equal to 180 based on the given information.
So we can set up the equation as follows:
9(x + 8) = 180
Now, we can solve the equation:
9x + 72 = 180
Subtract 72 from both sides of the equation:
9x = 180 - 72
9x = 108
Divide both sides of the equation by 9:
x = 108 / 9
Simplifying:
x = 12
Therefore, the number we were trying to find is x = 12.
The sum of the number and 8 can be written as (x + 8).
The product of 9 and this sum is 9(x + 8), which is equal to 180 based on the given information.
So we can set up the equation as follows:
9(x + 8) = 180
Now, we can solve the equation:
9x + 72 = 180
Subtract 72 from both sides of the equation:
9x = 180 - 72
9x = 108
Divide both sides of the equation by 9:
x = 108 / 9
Simplifying:
x = 12
Therefore, the number we were trying to find is x = 12.