Answer:
Expression: 55 - 45 + 81 - 30
Final score: 61
Step-by-step explanation:
Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.
This is a permutations problem. There are only 7 comics you can move into different time slots, the 8th one being fixed in that last position. So you can look at it this way:
For the 1st position, you can choose from all 7 people. Once you've picked that one, you have 6 people to choose from for the 2nd position, and similarly for the remaining ones . This gives you 7x6x5x4x3x2x1 = 5040 ways to arrange them. And the last comic stays in the same position all the time so does not change this number. Make sense? If you need to demonstrate it to yourself, use a smaller number of comics, like 3 or 4, and write out the combinations to see that it works.
Answer:
0 People initially had the cold.
6 People will have it after 2 days.
Step-by-step explanation:
To find out how many people had it initially, plug 0 in for x (implying 0 days later.)
C= 1*3(0)
C= 1*0
C=0
Nobody had the cold initially.
To find out how many people had it after 2 days, plug 2 in for x. (implying 2 days later.)
C= 1*3(2)
C= 1*6
C=6
Therefore 6 people had the cold after 2 days.
I hope this helps!
Check the picture below, that's the "inscribed angle theorem"
