Answer: 30 is the least common multiple of 6 and 10.
Step-by-step explanation:
30/6= 5
30/10= 3.
The number is 28.
The equation would be:
237 + 6(x) = 405
The problem states that 6 times the opposite of a number, however, since the number sign was not given, we do not know whether it is in a positive or negative form. So we leave it as only x.
237 + 6x = 405
6x = 405 - 237
6x = 168
6x / 6 = 168 / 6
x = 28
To check:
237 + 6 (28) = 405
237 + 168 = 405
405 = 405
Answer:
2^n
Step-by-step explanation:
So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n
I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2
First find the LCD of the denominators then convert the fractions. Then you can subtract.
for example
2/7 - 1/4
LCD of 4 and 7 is 28 so we convert to fractions with denominator 28
1/4 = 1*7 / 4*7 = 7 /28
2/7 = 2*4 / 7*4 = 8/28
so 2/7 - 1/4 = 8 /28 / 7/28 = 1/28 answer