The answer is:
The explanation is shown below:
1- You have the following expression given in the exercise:
2- When you multiply signs, you obtain:
3. Now, you must add like terms, as following:
4. Therefore, you have that the expression simplified is:
For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as:
Then, the complete expression is represented as:
Adding 10 to both sides of the equation:
Thus, the value of the variable is
Answer:
Option A: 4 is the solution
Explanation:
The given expression is
We need to determine the solution of the expression.
<u>Solution:</u>
The solution of the expression can be determined by solving the expression for t.
Let us solve the given expression.
Applying the log rule, if then
Thus, we have;
Adding both sides of the equation by 4t, we get;
Adding both sides of the equation by 3, we have;
Dividing both sides of the equation by 5, we get;
Hence, the value of t is 4.
Therefore, the solution of the given expression is 4.
Thus, Option A is the correct answer.