A restaurant adds a 20% tip to the bills of parties of 6 or more people. Suppose a server waits on five such tables. The bill without the tip for each party is listed in the table. How much did the server make in tips during this shift?
Distributive Property: a(b + c) = ab + ac and (b + c)a = ba = ca
Party 1
Party 2
Party 3
Party 4
Party 5
$185.45 $205.20 $195.05 $245.80 $262.00

$218.70

Step-by-step explanation:

You need to first convert the percentage to the decimal.

20% = 0.2

Now, you need to find 20% of each bill by multiplying each bill by 0.2.

0.2(185.45) + 0.2(205.20) + 0.2(195.05) + 0.2(245.80) + 0.2(262.00)

Because of the distributive property, you can add up the bills and multiply the sum by 0.2.

0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)

0.2(1093.50)

218.7

The waiter made $218.70 in tips.

3 × 5

Step-by-step explanation: To find the prime factorization of 15, first create a factor tree with two branches.

Since 15 divided by 3 gives us 5, we know that  and 5 are factors of 15. This means that we can write 3 and 5 at the bottom of our branches.

While 1 and 15 are also factors of 15, we don't use them in our factor tree. This because when finding a prime factorization, we only want factors other than 1 and the number itself.

Next, we circle any prime numbers in our factor tree. Since 3 and 5 are both prime numbers, we circle both 3 and 5. Since we have circles at the bottom of our branches, we are finished.

Therefore, the prime factorization of 15 is 3 × 5.