Answer:
You must wait 60 minutes for all three lines to arrive at Union Station at the same time again.
Step-by-step explanation:
The complete question in the attached figure
Step 1
Find the least common multiple (LCM) of the three numbers
List the prime factors of each number

Multiply each factor the greatest number of times it occurs in any of the numbers to find out the LCM
The LCM is equal to

therefore
You must wait 60 minutes for all three lines to arrive at Union Station at the same time again.
Answer:
80 labels
Step-by-step explanation:
The number of packages are 16 envelopes and 20 envelopes
We solve using LCM Method
We find the Multiples of 16 and 20
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Therefore,
LCM(16, 20) = 80
The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels
A
three times x = 3 × x = 3x
less 5 means subtract 5 from 3x, hence
3x - 5 → A
Answer:
SD = 2x
UD = x
Step-by-step explanation:
The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.
SU is the shorter leg = x
So, SD = 2x
The longer leg of a 30-60-90 triangle is
times the shorter leg.
So, UD = x