The quotient of a number and -9 increased by 10 is 11?
quotient of a number and -9 ... x/-9
now finish it off
... increased by 10 ... x/-9 + 10
NOW can you finish it off?
To solve this problem, we need to translate the given sentence into an equation and then solve for the variable.
Let's start by breaking down the sentence:
"The quotient of a number and -9 increased by 10 is 11."
1. "The quotient of a number and -9" can be represented as x / (-9), where x is the unknown number.
2. "Increased by 10" can be represented as "+ 10".
3. "Is 11" can be represented as "= 11".
Therefore, we can write the equation as:
(x / (-9)) + 10 = 11
To solve for x, we can follow these steps:
1. Subtract 10 from both sides of the equation:
(x / (-9)) + 10 - 10 = 11 - 10
Simplifying, we get:
(x / (-9)) = 1
2. Multiply both sides of the equation by -9:
(-9) * ((x / (-9))) = (-9) * 1
The -9 cancels out on the left side of the equation, leaving us with:
x = -9
So, the unknown number is -9.