Answer:
g ≤ 48
Step-by-step explanation:
Let g = # of guest
12.50(g) ≤ 600
g ≤ 48
2.52 pounds + 1.26 pounds = 3.78 pounds of salad ÷ 18 people = .21 pounds of salad per person
you add the pounds because that is everything she used to make the salad. then you divide by 18 because there are 18 people eating the salad and everyone gets exactly the same amount. Hope this helps :) this should help if you have more questions like this :)
(x pounds + y pounds = total pounds, total pounds ÷ # of people = pounds per person)
Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
-- ear lobe
-- knee
-- hip
-- elbow
Things to remember the sum of the measures of the interior and exterior angles at each vertex is 180 (supplementary angles)
add and equal to 180
3x-5+5x+17= 180
8x+12=180
8x= 168
x=21
substitute in the algebraic expression for exterior angle
3(21) -5=
63-5=58
58 degrees is the exterior angle
hope this helps
