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In 8 months, 55.6 gallons were used. Find the unit rate.
2 answers:
Answer:
6.95 gallons/month
Step-by-step explanation:
We are given that In 8 months, 55.6 gallons were used
Amount used in 8 months = 55.6 gallons
We are supposed to find amount used per month i.e. unit rate
So, Amount used in 8 months = 55.6 gallons
Amount used in 1 month = gallons
Amount used in 1 month = gallons
So, 6.95 gallons were used in 1 month
Hence the unit rate is 6.95 gallons/month
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Answer:
There are a total of 23 cars with air conditioning and automatic transmission but not power steering
Step-by-step explanation:
Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.
Remember that for 2 sets E and F, we have that
Also,
|E| = |E ∩F| + |E∩F^c|
We now alredy the following:
|A| = 89
|B| = 99
|C| = 74
|(A \cup B \cup C)^c| = 24
|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).
|B \ (AUC)| = 65
|C \ (AUB)| = 26
We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things
For example:
99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|
Therefore, |B∩C^c| = 99-11 = 88
And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.
This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.
It's be a line that crosses the y-axis at (0,7) and has a slope of -3 or -3/1.
