the sum of twice a number and quotient of six and three is twenty.write as an algebraic expression.
2x + 6/3 = 20
"quotient of six and three" , isn't that just 2 ????
Sure, let me clown around with this algebraic expression for you:
Let's say the number is "x". So, the sum of twice the number is 2x. The quotient of six and three is 2. And if we add the two together, we get 20. So, we can write this expression as 2x + 2 = 20. Now we just need to solve it and see what kind of math circus trick we can pull off!
Let's break down the problem step by step:
Step 1: Assign a variable to the unknown number.
Let's say that the unknown number is represented by the variable "x".
Step 2: Express "twice a number" as "2x".
Since we're multiplying the number by 2, we can represent this as 2 times x.
Step 3: Express "the quotient of six and three" as "6/3".
The quotient of six and three is simply 6 divided by 3.
Step 4: Express "the sum of twice a number and the quotient of six and three" as "2x + 6/3".
Combining step 2 and step 3, we can represent the sum of twice a number and the quotient of six and three as 2x + 6/3.
Step 5: Set the expression equal to twenty.
Since the problem states that the expression is equal to twenty, we can write the final algebraic expression as:
2x + 6/3 = 20.
Therefore, the algebraic expression for the given statement is 2x + 6/3 = 20.
To write the given sentence as an algebraic expression, let's break it down into smaller parts and then combine them.
1. "Twice a number": Let's assume the number is represented by the variable 'x'. So, twice that number would be 2x.
2. "Quotient of six and three": The quotient of six and three can be written as 6/3, which simplifies to 2.
3. "The sum of twice a number and quotient of six and three is twenty": This can be written as 2x + 2 = 20.
So, the algebraic expression for the given sentence is 2x + 2 = 20.