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SAT Math 1.3 Numbers and Operations. x and y must be which of the following?
SAT Math 3.3 Statistics and Probability 220 Views
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Description:
SAT Math 3.3 Statistics and Probability
SAT Math 3.3 Statistics and Probability
Transcript
- 00:02
Here’s your shmoop du jour, brought to you by Maps.
- 00:05
Before Google Maps, we used to use ACTUAL maps.
- 00:10
On a map, 1/3 of an inch represents 12 miles.
- 00:13
What is the real-life distance of two cities that are 7 5/6 inches apart on the map?
- 00:18
And here are the potential answers…
Full Transcript
- 00:25
This problem can be solved with a very simple unit conversion.
- 00:29
Uh…no. An even simpler unit conversion.
- 00:32
We’ll start with the 7 and 5/6 inches on the map we’re given.
- 00:35
It’s much easier to solve this thing if we’ve got it in improper fraction form,
- 00:40
so we’ll change it up.
- 00:41
7 is the same as 42/6… and 42/6 plus 5/6 equals 47/6. Done.
- 00:51
Now, we can convert.
- 00:53
When we convert between units, all we’re doing is multiplying by a fancy form of 1.
- 00:57
We multiply 47/6 inches by 12 miles per 1/3 inch.
- 01:05
And we have, 12 divided by 1/3 is really just 12 times 3, so we have 47/6 times 36.
- 01:14
We can divide the top and bottom by 6 to get 47 times 6, which is equal to 282.
- 01:20
Our answer is (D).
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