The quotient of a number and -9 increased by 10 is 11.

Let n be the number

(n / -9) + 10 = 11
Solving,
-n / 9 = 11 - 10
-n / 9 = 1
n = -9

Hope this helps :3

Let's break down the information given step-by-step:

Step 1: Let's assign a variable to represent the number. Let's say the number is "x".

Step 2: The quotient of a number and -9 can be represented as: x / -9.

Step 3: It is given that this quotient increased by 10 is equal to 11. So, we can write the equation as: (x / -9) + 10 = 11.

To solve this equation, we will follow these steps:

Step 4: Subtract 10 from both sides of the equation to isolate the fraction (x / -9): (x / -9) = 11 - 10.

Simplifying the right side: (x / -9) = 1.

Step 5: Multiply both sides of the equation by -9 to solve for x: (-9)(x / -9) = 1 * -9.

Simplifying the left side: x = -9.

So, the number is -9.

To solve this problem, we can break it down into steps:

Step 1: Let's represent the unknown number as "x."

Step 2: The quotient of a number and -9 can be written as "x / -9."

Step 3: "The quotient of a number and -9 increased by 10" can be written as "(x / -9) + 10."

Step 4: "The quotient of a number and -9 increased by 10 is 11" can be translated into the equation "(x / -9) + 10 = 11."

Step 5: To isolate the variable, we can subtract 10 from both sides of the equation: "(x / -9) + 10 - 10 = 11 - 10."

Simplifying, we have "(x / -9) = 1."

Step 6: Multiply both sides of the equation by -9 to get rid of the fraction: "(-9)(x / -9) = 1 * -9."

Simplifying further, we have "x = -9."

Therefore, the answer is x = -9.

I think it 32