Half the sum of a number and 10 is 8. Find the number.(1 point) Responses 3 3 6 6 2 2 -2
To find the number, we can set up the equation:
1/2(x + 10) = 8
Simplifying the equation, we get:
x + 10 = 16
Subtracting 10 from both sides:
x = 6
So, the number is 6.
To find the number, let's break down the information given in the problem:
1. "Half the sum of a number and 10" can be written as (x + 10)/2, where x represents the number we're trying to find.
2. "Is" implies an equal sign, so the equation becomes (x + 10)/2 = 8.
3. To solve for x, we need to isolate it. First, multiply both sides of the equation by 2 to get rid of the fraction: x + 10 = 16.
4. Next, isolate x by subtracting 10 from both sides of the equation: x = 16 - 10 = 6.
Therefore, the number we're looking for is 6.