Solve for b, then find the value of b when a = 3
4a=2b-7
To solve for b, we can start by isolating b on one side of the equation.
Given: 4a = 2b - 7
First, let's add 7 to both sides of the equation to move the constant term to the right side:
4a + 7 = 2b
Next, divide both sides of the equation by 2 to solve for b:
(4a + 7)/2 = b
Simplifying further:
2a + 3.5 = b
Now, substituting a = 3 into the equation, we can find the value of b:
2(3) + 3.5 = b
6 + 3.5 = b
9.5 = b
Therefore, the value of b when a = 3 is 9.5.
Find the width of a rectangle with a perimeter of 90 and a length of 15
To solve for the width of a rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (length + width)
Given that the perimeter is 90 and the length is 15, we can substitute these values into the formula:
90 = 2 * (15 + width)
Simplifying further:
90 = 30 + 2 * width
To isolate the width, we can subtract 30 from both sides of the equation:
90 - 30 = 30 - 30 + 2 * width
60 = 2 * width
Finally, divide both sides of the equation by 2 to solve for the width:
60/2 = (2 * width)/2
30 = width
Therefore, the width of the rectangle is 30.
To solve for b, we first need to isolate b on one side of the equation.
Given:
4a = 2b - 7
Step 1: Add 7 to both sides to move the constant term to the other side of the equation.
4a + 7 = 2b
Step 2: Divide both sides by 2 to isolate b.
(4a + 7)/2 = b
Now, we have found the expression for b in terms of a.
To find the value of b when a = 3, substitute a = 3 into the equation:
b = (4(3) + 7)/2
b = (12 + 7)/2
b = 19/2
b = 9.5
Therefore, when a = 3, b = 9.5.
To solve for b, we need to isolate it on one side of the equation. Let's start solving for b in the equation 4a = 2b - 7.
Step 1: Start by adding 7 to both sides of the equation to eliminate the constant term on the right side:
4a + 7 = 2b
Step 2: Divide both sides of the equation by 2 to isolate b:
(4a + 7) / 2 = b
Now we have solved for b and obtained the expression (4a + 7) / 2.
To find the value of b when a = 3, substitute the value of a into the expression we found for b:
b = (4(3) + 7) / 2
Simplifying further:
b = (12 + 7) / 2
b = 19 / 2
b = 9.5
So, when a = 3, the value of b is 9.5.