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.