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Answers:The answer is D because 20 plus 3 is 23, and you need 3 cookies for each person, so you would want to do 3(23), which is the same as 3(20+3)
Answers:The distributive property is really simple once you think about it. I always remember what it means because of the word distribute. Distribute means to pass out. Here's an example: 2 ( 3x + 6) You simply need to pass out the 2 to each term inside the perentheses by multiplying each term by 2. 2*3x + 2*6 That equals 6x + 12 Here's another one: 3 (5x + 6y)= 3*5x + 3*6y= 15x + 18y
Answers:you are right my friend In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalises the distributive law from elementary algebra. For example: 2 (1 + 3) = (2 1) + (2 3). In the left-hand side of the above equation, the 2 multiplies the sum of 1 and 3; on the right-hand side, it multiplies the 1 and the 3 individually, with the results added afterwards. Because these give the same final answer (8), we say that multiplication by 2 distributes over addition of 1 and 3. Since we could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers.
Answers:Well, if you're asking for a simplified answer, it's actually using the opposite Distributive Property (I think it's called the Factoring Theory? I'm not positive). To solve this problem, look at what each of these terms all have in common. 4a + 7ax - 5a - 2xa + 3x - 2a + 3x It looks like the 4a, -5a, and -2a can combine because they are like terms. And, due to the Commutative Property, 7ax and -2xa can be combined. Also, the two 3x's can be combined. =-3a + 7ax - 2xa + 3x + 3x =-3a + 5ax +6x Now, do any of these terms have anything in common? If you look closely, -3a and 5ax both have an a, and 5ax and 6x both have an x. It's your choice which ones to factor, but I'm just going to factor out the 2nd set. So, take the x out of 5ax and 6x, and put it on the outside of parentheses. Then, simply write them both without the x. = -3a + x(5a + 6) That's about as simplified as you can get. Now, something neat, if you multiply the x by both terms in parentheses, you get what you got before. = -3a + 5a(x) + 6(x) = -3a + 5ax + 6x I hope that clears up some confusion for you!