Nine times the sum of a number and 23 is at least 27.
To find the number that satisfies the given condition, we can set up an inequality and solve for the number.
Let's represent the number as "x".
According to the problem, "Nine times the sum of a number and 23 is at least 27." can be expressed as:
9(x + 23) ≥ 27
Now, we can solve the inequality:
9x + 207 ≥ 27
9x ≥ 27 - 207
9x ≥ -180
x ≥ -180/9
x ≥ -20
Therefore, the number "x" should be equal to or greater than -20 to satisfy the given condition.
To solve this problem, we can start by translating the given information into an equation.
Let's denote the unknown number as "x".
The phrase "the sum of a number and 23" can be expressed as "x + 23".
According to the problem statement, "nine times the sum of a number and 23 is at least 27". Mathematically, we can write this as:
9(x + 23) ≥ 27
Simplifying the equation, we have:
9x + 207 ≥ 27
Now, we can proceed to solve the inequality:
Subtract 207 from both sides to isolate the variable:
9x ≥ 27 - 207
9x ≥ -180
Finally, divide both sides by 9 to solve for x:
x ≥ -20
Therefore, the solution to the inequality is x ≥ -20. This means that any number greater than or equal to -20 will make the equation true.