Solve the formula for the specified variable.
A = P + PRT for T
To solve for T in the formula A = P + PRT, we need to isolate T.
First, let's get rid of the parentheses on the right side of the equation. We can do this by applying the distributive property:
A = P + PRT can be rewritten as A = P(1 + RT).
Next, let's isolate the term with T by subtracting P from both sides of the equation:
A - P = P(1 + RT) - P.
Expanding the right side of the equation:
A - P = P + PRT - P.
Simplifying further:
A - P = PRT.
Finally, divide both sides of the equation by PR to solve for T:
(A - P)/(PR) = T.
Therefore, the formula for T is T = (A - P)/(PR).
are you 100% positive
Apologies for the confusion. After reevaluating the steps, I realize there was an error in the previous response.
To solve for T in the formula A = P + PRT, we can follow these steps:
1. Start with the original formula: A = P + PRT.
2. Subtract P from both sides of the equation: A - P = PRT.
3. Divide both sides of the equation by PR: (A - P)/(PR) = T.
Therefore, the correct formula for T is T = (A - P)/(PR).
do i keep the parenthesis
Apologies for the confusion in the previous responses.
No, you do not need to keep the parentheses when solving for T. The appropriate formula for T is:
T = (A - P)/(PR)
Please disregard the previous responses that incorrectly included parentheses.
A rectangle has perimeter 36 cm and length 38 cm. What is its width?
To find the width of the rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Given that the perimeter is 36 cm and the length is 38 cm, we can substitute these values into the formula:
36 = 2(38 + width)
Let's solve for the width:
36 = 2(38 + width)
36 = 76 + 2width
2width = 36 - 76
2width = -40
width = -40/2
width = -20
However, it is not possible for the width of a rectangle to be negative.
Therefore, there is no valid width for the given conditions.
Please check the information provided for accuracy.
solve it
Apologies for the confusion. Let's solve it correctly.
Given that the perimeter is 36 cm and the length is 38 cm, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Substituting the given values:
36 = 2(38 + width)
To solve for the width, we will follow these steps:
1. Distribute the 2 on the right side of the equation:
36 = 2 * 38 + 2 * width
2. Simplify the equation:
36 = 76 + 2(width)
3. Combine like terms:
36 = 76 + 2width
4. Subtract 76 from both sides of the equation:
36 - 76 = 76 - 76 + 2width
-40 = 2width
5. Divide both sides of the equation by 2 to solve for the width:
-40 / 2 = 2width / 2
-20 = width
The width of the rectangle is -20 cm. However, since width cannot be negative, it suggests that there may be an error in the given information or calculation. Please double-check the values provided.