Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.
The least common multiple of these three numbers is
and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.
Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:
The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with
(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)
Answer:
1,570
Step-by-step explanation:
10×2=20
20×3=60
30×5=150
40×7=280
50×4=250
60×3=180
70×8=630
Now,
20+60+150+ 280 +250+ 280+ 630=1,570
this is the answer
Answer:
first term a=4
Step-by-step explanation:
Sum of the first 6 terms S6 = 15624
common ratio r= 5
n= 6
first term a=?
Formula: S6= a(r^n-1)/r-1
15624 = a( 5^6-1)/5-1
15624 = a(15625-1)/4
15624= a( 15624)÷4
15624= 15624a÷4
Cross multiply
15624×4 = 15624a
62496 = 15624a
divide both sides by 15624
62496÷15624 = 15624a÷15624
4 = a
a= 4
Step-by-step explanation:
so, we find the slope-intercept form :
y = ax + b
"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).
we have the slope : -6
and the given point (0, -10) gives us already the y-value when x = 0 : -10
therefore, the equation is
y = -6x - 10
I think that it is saying that 8:15-8:45 is 7.5 miles right? Then 8- 8:15 is 4.5 and you are trying to find the average of an HOUR.
So in order to get an hour you need 15 more mins. Which is 4.5 miles
according to the chart. (8-8:15). So 4.5+4.5+7.5=16.5. Divided by three
is 5.5 miles per hour. I'm not sure but this is what I would do.