The ratio of soda to fruit juice in the punch is 1 to 2/3
Answer:
lines b and c are perpendicular
Step-by-step explanation:
Use slope
slope for parallel is the same
slope for perpendicular is negative reciprocal
line a slope- 1-3/-2-0 is -2/-2 or 1
line b slope- 1-4/4-6 is -3/-2 or 3/2
line c slope- 3-1/1-4 is 2/-3 or - 2/3
none are the same so none are parallel
- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular
X = 28% * 80
x = 28/100 * 80
x = 28/10 * 8
x = 2.8 * 8
x = 22.4
28% of 80 is 22.4.
Your final name is a. 22.4
The rate of change and slope are pretty synonymous.
Answer: Rate of Change.
-Message me with any more questions you may have :)
Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
