Question

Translate the quotient of a number and negative five more than two is fifteen

Answer 1

To translate the quotient of a number and negative five more than two is fifteen, you need to solve the equation step-by-step.

Start with 'a number' represented as 'x', translate 'negative five more than two' as '(2 - 5)', and set the quotient equal to '15'.

Solving for 'x', we find that 'x = -45'.

Step-by-step explanation:

Let's break it down step-by-step:

1. Start with 'a number' which we can represent as 'x'.
2. Translate 'negative five more than two' as '(2 - 5)'.
3. The quotient of 'a number' and 'negative five more than two' is represented as 'x / (2 - 5)'.
4. Set the expression 'x / (2 - 5)' equal to '15'.
5. Now we have the equation 'x / (2 - 5) = 15'.
6. To solve for 'x', we need to perform the indicated operation. '2 - 5' equals '-3', so the equation becomes 'x / (-3) = 15'.
7. To isolate 'x', we need to multiply both sides of the equation by '-3'. This gives us '-3 * (x / (-3)) = -3 * 15'.
8. Simplifying further, '-3' cancels out on the left side, leaving us with 'x = -45'.
9. Therefore, the quotient of a number and negative five more than two that is fifteen is 'x = -45'.