Multiples : these are what we get after multiplying a number by an integer (not a decimal or fraction)
Example : 6 * 1 = 6......6 * 2 = 12.....6 * 3 = 18......so 6,12, and 18 are multiples of 6.
factors : these are what we multiply by to get a number
Example : 1 * 6 = 6.....so 1 and 6 are factors of 6....2 * 3 = 6 ...so 2 and 3 are also factors of 6
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problem 1 : Look at ur clues...each number is less then or equal to 12....this right here eliminates D because of the 15. The greatest common factor of the 2 numbers is 2....and this eliminates B because if it has a factor of 2, it has to be an even number. So that leaves us with :
A. 6 and 10
C. 10 and 12
last clue....they have a least common multiple of 60...this means that ur 2 numbers cant have any other common multiples until 60.
6 * 10......both are multiples of 60...however, they are also both multiples of 30...so 60 is not the least common multiple of 6 and 10, it is 30.
Therefore, ur answer is C. 10 and 12....with the LCM of 60, LCF of 2 and < or = to 12
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problem 2 : GCF (greatest common factor) of 42 and 84
factors of 42 : 1,2,3,6,7,14,21,42
factors of 84 : 1,2,3,4,6,7,12,14,21,28,42,84
therefore, the GCF of these 2 numbers is 42
Answer:
<em>The number is 46</em>
Step-by-step explanation:
<u>Equations</u>
Suppose:
a = One digit of the number
b = Tens digit of the number
The sum of the digits is 10:
a + b = 10
The number expressed as two-digits quantity is ab, and its value is
10a+b
When we add 18 to that number, we have:
10a+b+18
And that is represented as the number reversed:
10a+b+18=10b+a
Simplifying:
9a+18=9b
Dividing by 9:
a + 2 = b
Substituting in the first equation:
a + a + 2 = 10
2a = 8
a = 4
b = a + 2 = 6
Thus the number is 46
Answer:
It's 1
Step-by-step explanation:
10 to the power 1 gives you 10
Negative slope and shifted 5 down on the y axis with a root at x=-5
Unit rate = 3/8 : 1/6
We can also write this as:
3/8 / 1/6
Flip the 2nd fraction and multiply:
3/8 * 6/1
Multiply the numerators and denominators together:
18/8
Simplify by dividing the numerator and denominaotr by 2:
18 / 2 = 9
8 / 2 = 4
So we have:
9/4
