The total cost without tax would be $261, sales tax would be $15.66, if we add them together the answer would be $276.66
First, distribute the right side.
8*(x + 5) = 8x + 40
Then, we write the whole equation:
8x + 47 = 8x + 40
Looking at it, we can subtract 8x from both sides, so that we're left with:
47 = 40
However, we obviously know that 47 is NOT equal to 40, so there is <em>no solution</em> for this equation.
Answer:
Step-by-step explanation:
The first (and only step) is to remove the brackets.
-1/2 * - 3y = 3/2y Two minus make a plus
-1/2 * 10 = - 5
Answer: 3/2 y - 5
To solve this question we will use two important formulas.
The first formula involves the calculation of the decay constant,
which is to be found as:

where
is the half life of Pb-210 which is given to be 22 years in the question.
Thus, 
Now, we will use the second formula which is called the function of decay formula and is given as:

where
percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67
percentage of Pb-210 to start with, which is always 100% or 1.
Plugging in all these values in the decay formula we are supposed to find the time,
.

Taking natural log on both sides we get:



years
Therefore the bone fragment is about 12.71 years old.
Note the equal sign, what you do to one side, you do to the other side. Isolate the variable z.
First, subtract 3z and add 6/4 to both sides
4z (-3z) - 6/4 (+6/4) = 3z (-3z) + 1 (+6/4)
4z - 3z = 1 + 6/4
Simplify. Note that 1 = 4/4.
z = 4/4 + 6/4
Simplify. Combine like terms
z = 10/4
Simplify. Change the improper fraction into mixed fraction and simplify.
z = 10/4 = 2 2/4 = 2 1/2
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