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.
Solve for b, then find the value of b when a = 3
4a=2b-7
3 answers
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.
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.
1 answer