Translate the following verbal statement into an algebraic equation and

Walter Clyburn

Walter Clyburn

Answered question

2021-12-30

Convert the verbal statement that follows into an algebraic equation, and then solve it: As your variable, use x. Nine is the product of three over a number and six. Equation x=?
 

Answer & Explanation

Thomas White

Thomas White

Beginner2021-12-31Added 40 answers

We need to translate the given verbal statement into an algebraic expression and solve it.
The quotient of three more than a number and six is nine.
Let, the number be x.
According to the question, the equation is x+36=9
x+36=9
x+3=9×6
x+3=54
x=51
Thomas Lynn

Thomas Lynn

Beginner2022-01-01Added 28 answers

x+36=9
Multiply both sides by 6.
x+3=96
x+3=54
x=543
Answer: x=51
Vasquez

Vasquez

Expert2022-01-08Added 669 answers

Answer:

2×x+5=8+x
Step-by-step explanation:
sum means what x is times is multiplication more is addition.

user_27qwe

user_27qwe

Skilled2023-06-10Added 375 answers

We are given that the product of three, a certain number (let's call it x), and six is equal to nine. We can express this statement algebraically as:
3×1x×6=9
Now, let's solve this equation for x:
3×1x×6=9
18×1x=9
Multiplying both sides of the equation by x to eliminate the fraction:
18=9x
Dividing both sides of the equation by 9:
189=9x9
2=x
Therefore, the solution to the equation is:
x=2
So, the algebraic equation is 3×1x×6=9, and the solution is x=2.
karton

karton

Expert2023-06-10Added 613 answers

Answer:
x=2
Explanation:
''Nine is the product of three over a number and six.''
Let's break it down step by step:
1. ''Three over a number'' can be represented as 3x, where x is the unknown number.
2. ''The product of three over a number and six'' can be expressed as 3x×6.
3. According to the statement, this product is equal to nine. So, we have the equation:
3x×6=9
Now, let's solve the equation for x:
3x×6=9
Multiplying both sides of the equation by 16:
3x×6×16=9×16
Simplifying:
3x=32
To solve for x, we can cross-multiply:
3×2=3x
6=3x
Finally, dividing both sides by 3, we get:
63=3x3
Simplifying:
2=x
Therefore, the solution to the equation is x=2.

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