Half the sum of a number and 10 is 8. Find the number.(1 point)
Responses
3
3
6
6
2
2
-2
-2
To find the number, we need to solve the equation given: "Half the sum of a number and 10 is 8."
Let's break down the equation:
Half the sum of a number and 10 means we need to find half the sum of the number and 10.
So, we can write the equation as:
(1/2) * (number + 10) = 8
To solve it, we can start by isolating the term that contains the number.
Multiply both sides of the equation by 2 to cancel out the 1/2 factor:
2 * [(1/2) * (number + 10)] = 2 * 8
Simplifying:
number + 10 = 16
Next, isolate the number term:
Subtract 10 from both sides of the equation:
number = 16 - 10
Simplifying:
number = 6
Therefore, the number that satisfies the equation is 6.