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.
To make this easier to read, I'll be substituting 1/2 for .5; they mean the same thing, but it's less confusing to type it in its decimal form.
7x + .5 + 6x - 9.5
Combine like terms (x's can be added together, and so can reg. numbers)
(7x + 6x) + (.5 - 9.5)
13x - 9
Answer:
B) y = x - 50
Step-by-step explanation:
It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x <u>- 50</u>. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.
<span>The
missing pieces strategy is another method to compare two fractions. To tell
which number is larger, you ned to see which one is missing less. For example
you have ¾ versus 4/5. Each of these fraction needs 1 to complete the whole. You
need to subtract the numerator with one to compare them. For ¾ we have ¼ and
for 4/5 we have 1/5. You know that if you complete 4/5 you will get 5 and for ¾
you will get 4. You know that 5 is greater than four. Therefore, 4/5 is larger
than ¾.</span>
