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
To answer this question, we have the start-up costs of $ 52,000
A monthly inflation of $ 0 is assumed
Operating costs are $680
The daily gain is $960
For the Part A.
The inequality that this situation represents

So:

Where d represents the number of days.
For the Part B.
To start earning, you must replace all the initial investment and cover the expenses per day. The time that must pass for this to happen is obtained by clearing "d" from the inequality.

d> 185.71 days
Then, the sum of the net profits will be greater than the initial investment after 186 days of starting the business.
Answer:
597
Step-by-step explanation:
711-114=597
Hope it helps you
To figure out the solution in a problem related to calculate maximum or minimum of something, you've to derive the involved equation, and make it equal to 0, solving the x.
So:
y = -0'296x² + 2'7x
y' = -0'592x + 2'7
0 = <span>-0'592x + 2'7
</span><span>-0'592x = 2'7
</span>x = 4'56
And if we substitute 4'56 on the first equation:
y = -0'296·<span>4'56² + 2'7·4'56
y = 6'16
So the length of the jump is 4'56cm, and the height 6'16cm.</span>
Answer:
The answer is c, 783.67
Step-by-step explanation:
you add 850+832+669=2351
because it is for 3 months, you divide it by 3. 2351/3=783.6666666667
They say round to nearest cent, which is 783.67