The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point)
Responses
A. 6
B. −2/3
C. -6
D. 52
To find the number, let's break down the given information step-by-step:
1. The sum of 8 and a number: Let's represent the number as 'x'. So, the sum of 8 and 'x' would be 8 + x.
2. Divided by 3: We divide the sum by 3, resulting in (8 + x) / 3.
3. Equals 6: According to the given information, this expression is equal to 6. So, we have the equation (8 + x) / 3 = 6.
Now, we can solve for 'x' step-by-step:
1. Multiply both sides of the equation by 3: This will eliminate the fraction.
(8 + x) / 3 * 3 = 6 * 3
Simplifying:
8 + x = 18
2. Subtract 8 from both sides of the equation to isolate 'x':
(8 + x) - 8 = 18 - 8
Simplifying:
x = 10
Therefore, the number is 10.
To find the number in the given equation, we need to solve for it step by step.
The equation is: (8 + x)/3 = 6
To start, we can multiply both sides of the equation by 3 to get rid of the fraction:
3 * (8 + x)/3 = 3 * 6
This simplifies to:
8 + x = 18
Next, we can isolate the variable x by subtracting 8 from both sides of the equation:
8 + x - 8 = 18 - 8
This simplifies to:
x = 10
So, the number in the equation is 10.
Therefore, the correct answer is not among the provided options.
Let the number be x.
The equation can be written as (8 + x) / 3 = 6.
Multiplying both sides by 3 gives us 8 + x = 18.
Subtracting 8 from both sides gives us x = 10.
Therefore, the number is 10.
The correct answer is not listed.