The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.
Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
Let x represent number of bracelets and y represent number of necklaces.
We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be
. We can represent this information in an equation as:

We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be
grams.
We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be
grams.
Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:

Therefore, our required system of equations would be:


Answer:
f(1.5) = _95_
The value indicates that after_1.5 hours_
hours of driving, Aubrey and Charlie will be_95_
miles from home.
Step-by-step explanation:
The buyer will be paying taxes for 185 days, so will pay
... (185/365)·$8200 = $4156
Your most appropriate choice seems to be $4178, which corresponds to 186 days' taxes.
_____
There are 30 days in each month in the last half of the year, plus 1 additional day in each of July, August, October, and December. The 30th of June also belongs to the buyer (but the 29th, closing day, does not), so there are 180+5 = 185 days for which the buyer must pay taxes. The answer choices don't include that value.
Euler's formula tells us that


Suppose we subtract the two. This eliminates the cosine terms.

Divide both sides by

and you're done.