Answer:
1. x^2-36
X^2-6^2
(X-6)•(x+6)
3. 16y^2-25
4^2 Y^2-5^2
(4y)^2-5^2
(4y-5)•(4y+5)
5. 9a^2-121
3^2 a^2-11^2
(3a)^2-11^2
(3a-11)•(3a+11)
6. 196-x^2
14^2 -x^2
(14-x)•(14+x)
8. 36c^2-d^2
6^2 c^2 -d^2
(6c)^2-d^2
(6c-d)•(6c+d)
11. 1-4a^2
1^2- 2^2 a^2
1^2-(2a)^2
(1-2a)•(1+2a)
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
The correct answer is: Commutative Property
Further Explanation:
The commutative property states that the order of number doesn't matter and changing the order of numbers or variables will produce the same result.
<u>Commutative Property of Addition:</u>
The Commutative Property of addition means that an expression can be written as a + b = b + a.
<u>Commutative Property of Multiplication:</u>
The Commutative Property of multiplication means that an expression can be written as a • b = b • a
Hence, the correct answer is: Commutative Property
Keywords: Commutative property, addition, multiplication
Learn more about Properties at:
#LearnwithBrainly
Answer:
1, 17, 33, 49
Step-by-step explanation:
given the first term is 1 then the next 3 terms are
1 + d, 1 + 2d, 1 + 3d ( d is the common difference )
the sum of the first 4 terms is 100 , then
1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is
4 + 6d = 100 ( subtract 4 from both sides )
6d = 96 ( divide both sides by 6 )
d = 16
1 + d = 1 + 16 = 17
1 + 2d = 1 + 2(16) = 1 + 32 = 33
1 + 3d = 1 + 3(16) = 1 + 48 = 49
the first 4 terms are
1, 17, 33, 49
C- Often times, if someone is using a coupon, they just want the lowest price and don't care what toothpaste is considered "the Best."
