Let's represent the number as x.
According to the given condition, the equation that represents the problem is:
(1/2)x + 26 = 15
Subtract 26 from both sides of the equation:
(1/2)x = 15 - 26
Simplify the right side:
(1/2)x = -11
To solve for x, we need to isolate it on one side of the equation. Multiply both sides by 2:
2(1/2)x = -11 * 2
Simplify:
x = -22
Therefore, the number is -22.
Half the sum of a number and 26 is 15. What is the number?
9 answers
Four times the difference of a number and 7 is 12. What is the number?
Let's represent the number as x.
According to the given condition, the equation that represents the problem is:
4(x - 7) = 12
Expand the equation:
4x - 28 = 12
Add 28 to both sides of the equation:
4x = 12 + 28
Simplify the right side:
4x = 40
To solve for x, we need to isolate it on one side of the equation. Divide both sides by 4:
(4x)/4 = 40/4
Simplify:
x = 10
Therefore, the number is 10.
According to the given condition, the equation that represents the problem is:
4(x - 7) = 12
Expand the equation:
4x - 28 = 12
Add 28 to both sides of the equation:
4x = 12 + 28
Simplify the right side:
4x = 40
To solve for x, we need to isolate it on one side of the equation. Divide both sides by 4:
(4x)/4 = 40/4
Simplify:
x = 10
Therefore, the number is 10.
What is the first step in solving the equation
3=6y+9
3=6y+9
The first step in solving the equation 3 = 6y + 9 is to isolate the variable y.
To do this, we can begin by subtracting 9 from both sides of the equation:
3 - 9 = 6y + 9 - 9
This simplifies to:
-6 = 6y
After isolating the variable, we can proceed with solving for y.
To do this, we can begin by subtracting 9 from both sides of the equation:
3 - 9 = 6y + 9 - 9
This simplifies to:
-6 = 6y
After isolating the variable, we can proceed with solving for y.
Simplify the expression
2(3x+4)-3(2x-2)+8(x-5)
2(3x+4)-3(2x-2)+8(x-5)
To simplify the expression 2(3x + 4) - 3(2x - 2) + 8(x - 5), we can distribute the coefficients:
2(3x + 4) - 3(2x - 2) + 8(x - 5)
= 6x + 8 - 6x + 6 + 8x - 40
Now, we can combine like terms:
= (6x - 6x + 8x) + (8 + 6 - 40)
= 8x + (-26)
= 8x - 26
Therefore, the simplified expression is 8x - 26.
2(3x + 4) - 3(2x - 2) + 8(x - 5)
= 6x + 8 - 6x + 6 + 8x - 40
Now, we can combine like terms:
= (6x - 6x + 8x) + (8 + 6 - 40)
= 8x + (-26)
= 8x - 26
Therefore, the simplified expression is 8x - 26.
Write an equation and solve: Four times a number, decreased by 4 is 8.
Let's represent the number as x.
The equation that represents the problem is:
4x - 4 = 8
To solve for x, we need to isolate it on one side of the equation.
Add 4 to both sides of the equation:
4x - 4 + 4 = 8 + 4
Simplify:
4x = 12
Now, divide both sides of the equation by 4:
(4x) / 4 = 12 / 4
Simplify:
x = 3
Therefore, the number is 3.
The equation that represents the problem is:
4x - 4 = 8
To solve for x, we need to isolate it on one side of the equation.
Add 4 to both sides of the equation:
4x - 4 + 4 = 8 + 4
Simplify:
4x = 12
Now, divide both sides of the equation by 4:
(4x) / 4 = 12 / 4
Simplify:
x = 3
Therefore, the number is 3.