Part (a)
<h3>Answer: 0.2</h3>
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Work Shown
It costs $15 to rent a bike for 3 hours. We can write the following ratio below
15 dollars : 3 hours
To represent the connection of the two concepts (dollars connecting with hours)
We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".
Divide both sides of the ratio by 15 to achieve this goal.
15 dollars : 3 hours
15/15 dollars : 3/15 hours
1 dollar : 1/5 hours
1 dollar : 0.2 hours
0.2 hours : 1 dollar
So we get 0.2 hours per dollar.
As a side note, 0.2 hours = 0.2*60 = 12 minutes.
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Part (b)
<h3>Answer: 3.38</h3>
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Work Shown
27 pages : 8 minutes
27/8 pages : 8/8 minutes
3.375 pages : 1 minute
3.38 pages : 1 minute
I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.
So, the multiples for 4 and 10 are...
4,8,12,16,20...
10,20,30,40,50...
So, basically LCM means least common multiple which just means that from the two numbers that you're given (4 & 10) there is one number that goes into both of them and is the smallest amount.
So for 4 and 10, the numbers that go into both of them are 20 and 40. out of both of these numbers 20 is the lowest, making it the LCM. Hopefully that helped, and if it didn't then I'm sorry. Good luck with the rest queen.
The area of the figure is 2×3+(2×2)/2=8 square units.
