Part A: Connor is wrong, this is because the inequality 9x<27 means that 9x is LESS than 27. For example, if x was 17, it would mean 9 times 17 (153) which is WAAAY more than 27. Connor's statement is nonsense.
Part B: x could equal 2 or less. This is because anything over 2 will not fit with the inequality. (if x was 3 that would make it equal to 27 and that won't be right). 9 times 2 is 18 which is less than 27, so is 1 and so on :)
Answer:
B. 17%.
Step-by-step explanation:
The General Probability Addition Rule is
P(A∪B) = P(A) + P(B) − P(A∩B) where P(A∪B) = P(A) or P(B) and P(A∩B) = P(A) and P(B).
So applying this to our problem we have:
0.57 = 0.43 + 0.31 - P( household has a cat and a dog)
so the answer is 0.43 + 0.31 - 0.57
= 0.17 or 17%.
Answer:
Yes
Step-by-step explanation:
If she is reading 20 pages a day, and needs to read 10 pages, then she needs half a day, and since she has 6 days, she can do this.
Answers:
- Distributive Property
- Inverse Property
- Identity Property
- Associative Property
- Commutative Property
- Multiplication Property of Zero
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Explanations:
- The distributive property is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside (b and c), then add up the results. In this specific case, we are multiplying the outer 2 by x and 3. So that's why 2(x+3) = 2x+2*3 = 2x+6. The concept of factoring takes this process in reverse, so we go from 2x+6 to 2(x+3).
- The inverse property, specifically the additive inverse property, is where we can add any number to its negative counterpart to always get 0. The expression 2+(-2) is the same as 2-2. We can think of it like "we're on the 2nd floor and we go down 2 floors to end up on floor 0". In general, the additive inverse property is x+(-x) = 0, which is the same as -x+x = 0.
- We can multiply any number by 1, to get the same number. So that's why 1*x = 1x = x. Similarly, x*1 = x as well. This is the multiplicative identity property, often shortened to "identity property".
- The parenthesis shifted around, so this means we'll use the associative property. In general, that is a+(b+c) = (a+b)+c.
- We can multiply two numbers in any order. The general format is a*b = b*a. This is the commutative property of multiplication. The version for addition is a+b = b+a.
- Multiplying 0 by any number leads to 0. So we could have the most complicated expression thought possible, but if we multiply it by 0, then the whole thing goes to 0. At the end of this complicated expression is where the 0 is buried. This idea is useful when it comes to the zero product property where if A*B = 0, then either A = 0 or B = 0 or both are the case.