Step-by-step explanation:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
56 = 2 ×2 × 2 × 7
Now
Common factor = 2
Remaining factor = 2 × 3 × 2 × 3 × 7
LCM = RF × CF
= 504
hence the lCM of 12 , 18 and 56 is 504...
Answer:
There are many variables to determine if you have all the complete pieces some are the following:
1.- bowl size
2.- the way it broke
3.- the size of the pieces
4.- if the pieces can fit together
5.- if the bowl paint has the same figures
This is important to determine, since if they do not have these requirements, you can find different pieces of different bowls, which will make the pieces never coincide with each other.
Hope this helps. If you don’t understand it just message me and I’ll explain it again
Answer:
34 = 2A + 1B + 4C
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Pairs the 1st and 2nd equation, then eliminates C:
34 = 2A + 1B + 4C
35 = 3A + 2B + 2C
34 = 2A + 1B + 4C
-70 = -6A + -4B + -4C <---- multiplies 2nd equation by -2
Adds them together
-36 = -4A + -3B
36 = 4A + 3B <----- please label this equation ALPHA
Next, pairs the 2nd and 3rd equations, and eliminates C:
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Subtracts the top equation from the bottom:
49-35 = 5a-3a + 3b-2b + 2c-2c
14 = 2a + b <--- please label this equation BETA
ALPHA: 36 = 4A + 3B
BETA: 14 = 2a + b
Solves the 2x2 system by substitution:
BETA: 14 - 2a = b <---- solves equation BETA for b
Substitutes into equation ALPHA:
36 = 4a + 3(14 - 2a)
36 = 4a + 42 - 6a
36 = 42 - 2a
-6 = -2a
a=3
b = 14 - 2a = 14 - 2(3) = 14 - 6 = 8
34 = 2a + b+ 4c
34 = 2(3)+ 8 + 4c
34 = 6+8 + 4c
34 = 14 + 4c
20 = 4c
c=5
1 pound of apples cost $3
1 pound of berries cost $8
1 pound of cherries cost $5
Probability is represented as the number of ways for an event to happen over all possible outcomes. For the theoretical probability, there is 1 black spot and 5 total options. Therefore, the probability is 1/5, or 0.20.
For experimental probability, there were 103 times it landed on black out of 500 spins. The probability is 103/500, or 0.206.
Lastly, the multiple choice. The larger sample size you take, assuming a fair spinner, the more likely you are to see results similar to the theoretical probability. This is because the larger sample size taken, the less each individual spin effects the outcome.
