According to the solving the correct expression of the given data is:
S = 5T/(T - 5).
<h3>What does a math expression mean?</h3>At least two numbers as well as variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. With the help of this mathematical operation, you can multiply, divide, add, or subtract. A sentence has the following structure: (Number or Variable, Math Operator, Number or Variable) is an expression.
<h3>How does a term come to mind?</h3>The evaluation of each algebraic expression requires the substitution of one integer for each variable and the execution of the arithmetic operations. The variable x in the preceding example has the value of 6 since 6 plus 6 = 12. Our variables' values can be substituted for the original variables if we are aware of them, allowing us to evaluate the expression with those values instead of the original ones.
<h3>According to the given information:</h3>Let S be the number of hours it would take Sharon to paint the shed alone.
Kelly alone can paint the shed in T hours,
so she can paint (1/T) of a shed per hour.
Sharon alone can paint (1/S) shed per hour, so, working together.
They can Paint:
(1/T)+(1/S)
it takes them five hours to paint the shed together, they can paint (1/5) shed per hour.
After simplifying this we get:
(T - 5)/5T
the reciprocal of both expressions:
S = 5T/(T - 5)
According to the solving the correct expression of the given data is:
S = 5T/(T - 5).
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