Answer:
7
10
16
19
Step-by-step explanation:
This question is best answered by finding the least common multiple of both 45 and 20. If a scenario indicates every so many, it would be like listing the multiples. It can be harder to list the multiples of bigger numbers (45, 90, 135, 180 and 20, 40, 60, 80, 100, 120, 140, 160, 180), so another strategy is to use prime factorizations. The prime factorization of 45 is <em>3</em> x <em>3</em> x 5 and the prime factorization of 20 is <em>2</em> x <em>2</em> x 5. The numbers that are the same in both prime factorizations are part of your answer. All other numbers (the italicized ones) also become a factor in your final answer, so 5 x 3 x 3 x 2 x 2 = 180. This means 180 minutes later they both start again at the same time. So 3 hours from 9 am is 12 noon.
Step-by-step explanation:
AB(x)/DE=BC/EF
AB/25=28/20
20AB=28×25
20AB=700
AB=700/20
AB=35
SO x=35
The advance purchase price is $90.
Step-by-step explanation:
Ticket price after deadline = $99
Let,
x represents the advance-purchase price.
Suppose that the advance purchase price is 100%.
As 10% increases, the amount becomes;
(100+10)% = 110%
The amount after deadline is 110% of advance purchase price.
110% of x = 99
Dividing both sides by 1.1
The advance purchase price is $90.
Keywords: percentage, addition
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