Answer:
after 75 minutes
Step-by-step explanation:
The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:
1. List the factors of each number and find the product of the unique ones:
15 = 3·5
25 = 5²
The LCM is 3·5² = 75.
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2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...
15·25/5 = 75
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Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:
15, 30, 45, 60, <em>75</em>, 90
25, 50, <em>75</em>, 100
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The two buses will appear together again after 75 minutes.
Yes the graph does show a proportional relationship because each x value has only one y value
Answer: 14
Step-by-step explanation: 18 x 14 = 252
Answer:
A, 120.
Step-by-step explanation:
x-15+75=180
x+60=180
x=120.
Answer: 
Step-by-step explanation: Given that
and 
lies in Quadrant III.
We are to find the value of 
We will be using the following trigonometric identities:
We have
Since lies in Quadrant III, so tangent will be positive.
Thus,
