Answer: note I will just replace the Shape by an X
a) X + 9 = 9 + 6; X=6 Commutative Propertie
b) 0 + X = 7; X=7 Additive Identity Propertie
c) X + (7 + 3) = (4 + 7) + 3; X=4 Associative Propertie
Step-by-step explanation:
There are four mathematical properties which involve addition. Commutative, associative, additive identity and distributive properties.
Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends.
Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
Additive Identity Property: The sum of any number and zero is the original number.
Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.
Answer:
8%
Step-by-step explanation:
Hello,
<u>8% of the students take neither History or French</u>
so we have 8*200/100=8*2=16 students out of French and History
let s say that
a is the number of students taking only History
b is the number of students taking both History and French
c is the number of students taking only French
<u>10% of those who take History also take French</u>
so 0.10(a+b)=b <=> 0.10a+0.10b=b
<=> 0.10a+0.10b-0.10b=b-0.10b=0.9b
<=> 0.10a=0.90b
let's multiply by 10 it comes a = 9b
<u>4 times as many students take History as take French</u>
so a + b = 4 (b + c)
it comes 9b + b = 10b = 4b + 4c
<=> 10b-4b=4b+4c-4b=4c
<=> 6b=4c
<=> 3b=2c
<=> c = 3b/2
and we know that a + b + c = 200 - 16 = 184
so
9b + b + 3b/2 = 184 we can multiply by 2 it comes
20 b + 3b = 184*2
23b = 184*2 = 23 * 8 *2 = 23*16
b = 23*16/23 = 16
so b = 16
c = 3*16/2 = 24
c = 24
a = 9b = 144
a = 144
you can see the Venn diagram below
and then the probability that a student picked at random does History and French is 16/200 = 8%
so the answer is 8%
hope this helps
G ( 2, 5 ); H ( 6, 9 )
The equation is: y = m x + b
The slope : m = ( y2 - y1 ) / ( x2 - x1 ) = ( 9 - 5 ) / ( 6 - 2 ) = 4 / 4 = 1
5 = 1 * 2 + b
5 = 2 + b
b = 5 - 2
b = 3
Answer:
y = x + 3
Answer:
Caitlin can buy no more than 4 bracelets.
Step-by-step explanation:
Let b represent the number of bracelets
4.75b <= 22
4.75b/4.75 <= 22/ 4.75
b<= 4.63
Answer: -a (4th choice)
Explanation:
Consider an example like y = 2(x-3)^2 and compare it to y = -2(x-3)^2
The jump from a = 2 to a = -2 means we reflect over the x axis. This is because we're effectively multiplying the y coordinate values by -1. So a point like (5,8) moves to (5,-8).