1st rock = 19.28 grams
2nd rock = 25.30 grams
3rd rock = 46.3 grams
Add 1st and 2nd rock to get the combined mass
19.28 + 25.30 = 44.58 combined mass of 1st and 2nd rock
Subtract:
3rd rock mass - combined mass of 1st and 2nd rock
46.30 - 44.58 = 1.72 grams
1.72 grams greater was the mass of the 3rd rock than the combined mass of the two rocks.
The answer is 19,448 different
groups, using the formula from permutation and combinations C (n, r) = (n!) /
(r! (n-r)!) which calculates the number of times where r objects can be chosen
from n object.
So,
C (17,7) = (17!) / (7! *(17-7)!)
C (17,7) = (17!) / (7! *10!)
C (17,7) =
(17*16*15*14*13*12*11*10!) / (7! *10!) then eliminate 10!
C (17,7) = (17*16*15*14*13*12*11)
/ (7*6*5*4*3*2*1) = (98017920)(5040)
C (17,7) = 19,448 different
groups
Answer:
ypu need to use the method before change and after
Answers in order top to bottom:
8
6
-8
__________
The equation can be simplified by dividing both sides by 2
remember, anything times 0 is 0.
4x + 3y = 24
Now plug in values
if x = 0;
4(0) + 3y = 24
3y = 24
y = 8, this is the first answer
if y = 0;
4x + 3(0) = 24
4x = 24
x = 6, this is the second answer
if x = 12;
4(12) + 3y = 24
48 + 3y = 24
3y = -24
y = -8, this is the third answer.
10
The x’s represent just the people, and because the bottom line only represents time it doesn’t affect the amount of people.
