Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
Answer:
The slope is a positive linear slope
The slope is 2
The y-intercept is -4
The equation of this line would be: y = 2x - 4
Step-by-step explanation:
y = mx + b format
m = slope
b = y-intercept
and x and y are the x and y components
Answer:
x = 8
Step-by-step explanation:
-4x + 6(6 - 2x) = -7x - 36
-4x + 36 - 12x = -7x - 36
-16x + 36 = -7x - 36
<u> +36 +36</u>
-16x + 72 = -7x
<u>+16x +16x</u>
72 = 9x
divide by 9
<u><em>x = 8</em></u>
Answer:
(x+y)
Step-by-step explanation:
Thus, the HCF is (x+y).
