Answer:

Step-by-step explanation:

Step 1: Factor out the common term 

Step 2: Add the whole numbers

Step 3: Combine the fractions:

Step 4: Convert the improper fractions to mixed numbers

Step 5: Add the numbers

Therefore, the answer to the equation is
in fraction, and decimal; 
Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

Now, if you multiply the first equation by 2, the system becomes

Subtract the second equation from the first:

Plug this value into the first equation to get

Answer:
<u>A. Nicholas will have to pay less using plan A</u>
<u>B. He will pay US$ 4 less than plan B</u>
Step-by-step explanation:
Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.
Plan A
Up to 10 hours = US$ 6
Every subsequent 1/2 hour: $1
10 hours + 14 (1/2 hour)
<u>Nicholas will pay 6 + 14 * 1 = US$ 20</u>
Plan B
Up to 12 hours = US$ 4
Every subsequent 1/2 hour: $2
12 hours + 10 (1/2 hour)
<u>Nicholas will pay 4 + 2 * 10 = 24</u>
If 3/5 are action and 1/4 are comedy then:
(3/5)+(1/4) are action or comedy
To add/subtract fractions you need a common denominator...
(3/5)*(4/4)+(1/4)(5/5)
(12/20)+(5/20)
17/20
So 17/20 (85%) of his collection are action or comedy not 4/9...