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:
no yes no yes
Step-by-step explanation:
Im pretty sure thats correct
Answer:
just read my step-by-step
Step-by-step explanation:
Image result for how does the pythagorean theorem work on a right triangle
The Pythagorean Theorem can also be represented in terms of area. In any right triangle, the area of the square drawn from the hypotenuse is equal to the sum of the areas of the squares that are drawn from the two legs. You can see this illustrated below in the same 3-4-5 right triangle.
equation of a line with y intercept of neg.2 is y=mx-2
you could use pint slope[y-y1=m(x-x1)], but i preffer slope intercept form [y=mx+b]
5=m2-2
move 2 to the other side
7=m2
divide both sides by 2
3.5=m
so, the slope is 3.5
equation for a line that passes through point (2,5) with a y intercept of -2 is y=3.5x-2
the equation of a perpendicular line to the line y=3.5x-2 has a slope that is negative reciprical of 3.5
we keep the everything on y=3.5x-2 same except the slope.
negative reciprical slope of 3.5 is -
simplify
so, the equation of a line perpendicular to the first one is y=-2/7x-2
Answer:
Operating costs = $246,339
Step-by-step explanation:
Given
Operating costs = $57,210 + $2,644 per flight + $5 per passenger
Expected Activity
72 flights.
280 passengers
Actual Activity
71 flights
281 passengers.
Actual operating cost = $245,290
The formula given in the question will be used and we'll take into consideration the actual events that happened in the month of February (not the expected activities).
Formula:
Operating costs = $57,210 + $2,644 per flight + $5 per passenger
Actual Activity
71 flights
281 passengers.
By substitution
Operating costs = $57,210 + $2,644 * 71 + $5 * 281
Operating costs = $246,339
