can someone please help me explain how they got this answer and can someone please show me the steps into solving this question?
Q: Four more than the quotient of a number and three is at least nine.
x/3 + 4 >= 9
Now, subtract 3 from each side.
x/3 + 4 - 4 >= 9 - 4
x/3 >= 5
Now you do the final part.
x>15
right
Right
x >=15
ok thank you :D
4 more than the quotient of an unknown and 9 is no less than 15. Explain how to find the answer
To solve this question, we need to break it down into steps.
Step 1: Understanding the problem
First, let's clearly understand the problem statement. The problem states that "Four more than the quotient of a number and three is at least nine." This means that we need to find a number that, when divided by three, will result in a value that is at least nine when four is added to it.
Step 2: Translate the problem into an equation
Let's define a variable to represent the unknown number. Let's call it "x." Since we are looking for the quotient of "x" divided by three, we can write the first part of the equation as "x/3." The problem also states that "four more than" this quotient is "at least nine," which can be written as "4 + x/3 ≥ 9."
Step 3: Solve the equation
To solve this equation, we need to isolate the variable on one side. To do that, we can subtract four from both sides of the equation:
4 + x/3 - 4 ≥ 9 - 4
x/3 ≥ 5
Now, to further isolate the variable, we can multiply both sides of the equation by 3 (since we want to get rid of the denominator):
3 * (x/3) ≥ 5 * 3
x ≥ 15
Step 4: Interpret the solution
The solution to the equation is x ≥ 15. This means the unknown number is equal to or greater than 15 in order to meet the condition stated in the problem.
In summary, the answer to the question "Four more than the quotient of a number and three is at least nine" is that the unknown number must be equal to or greater than 15.