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>
In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;
In accordance, we can say:
(2p + 7q)x = 4x [1]
(p + 8q)y = 5y [2]
2q - p + 1 = 2 [3]
All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):
Rearrange in terms of p:
p + 8q = 5 [2]
p = 5 - 8q [2]
p + 2 = 2q + 1 [3]
p = 2q - 1 [3]
Now equate rearranged [2] and [3] and solve for q:
5 - 8q = 2q - 1
10q = 6
q = 6/10 = 3/5 = 0.6
Now, substitute q-value into rearranges equations [2] or [3] to get p:
p = 2(3/5) - 1
p = 6/5 - 1
p = 1/5 = 0.2
Answer: 0.92 pounds
Step-by-step explanation:
Roberto will make 11 pounds of fudge but wants to give it away as presents to 12 friends.
Each friend will therefore get;
= 11 pounds/ 12
= 0.92 pounds
If the area of one is 20, that the area of 30 is 20*30=600 square inches.
