Answer:
1. -19x
3. 23 - 8x
5. -18x + 2y
Step-by-step explanation:
first: 3x - x = 2x
2x - 22x = -20x
-20x + x = -19x
second one:
8 - (-15) = 23
12x - 20x = -8 x
23 - 8x
third:
-10x - 8x = -18x
3y - y = 2y
-18x + 2y
Answer:
27, 29, 31, 33
Step-by-step explanation:
Let x represent the smallest odd integer then...
x+2 represents the second
x+4 represents the third
x+6 represents the fourth
We can use this to set up an equation:
x+x+2+x+4+x+6=120
Combine like terms
4x+12=120
Subtract 12 from both sides
4x=108
Divide both sides by 2
x=27
The integers are 27, 29, 31, 33
Multiply 15 x 3.14. You'll get 47.1. Thats the area
Answer: option J: 128 joules
Explanation:
1) From the table you try to find which relation best fits the data.
2) Your best first assumption is that the data may fit a proportional relation.
3) To prove that you find the ratio of Energy ouput to Amount of chemicals.
Doing that you find:
20 32 48 60
----- = ------- = ------ = ------ = 4
5 8 12 15
4) Then you have found a direct relation whose ratio is 4 joules / mol. So, you can apply that constant to the number of moles given:
Energy = 4 joules / mol × 32 mol = 128 joules
