Answer:
The absolute difference is:
If we find the % of change respect the before case we have this:
So then is a big change.
Step-by-step explanation:
The subindex B is for the before case and the subindex A is for the after case
Before case (with 500)
For this case we have the following dataset:
500 200 250 275 300
We can calculate the mean with the following formula:
And the sample deviation with the following formula:
After case (With -500 instead of 500)
For this case we have the following dataset:
-500 200 250 275 300
We can calculate the mean with the following formula:
And the sample deviation with the following formula:
And as we can see we have a significant change between the two values for the two cases.
The absolute difference is:
If we find the % of change respect the before case we have this:
So then is a big change.
The correct answer is (x+2)(x-9) here are the steps :)
The middle number is -7 and the last number is -18z
Factoring means we want something like
(X+_) (X+_)
Which number go in the blanks?
We need two number that
•Add together to get -7
•Multiply to get -18
Can you think of the two numbers?
Try 2 and -9:
•2+-9=-7
•2*-9=-18
Fill the blanks in
And you get
(X+2)(x-9)
Hope this helps :)
Answer:
<u>Part A:</u><u> x = -24</u>
<u>Part B: </u><u>n = 2</u>
Step-by-step explanation:
<u>Part A:</u>
The algebraic expression for: "StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3" will be ⇒ 
Multiply both sides by 6
∴ 
∴
∴ 2x + 4*12 = x + 3 *14 - 18
∴ 2x - x = 3 * 14 - 18 - 4 * 12 = -24
<u>∴ x = -24</u>
============================================================
<u>Part B:</u>
The algebric expression for: "StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis" will be ⇒ 
Multiply both sides by 2
(n-4) - 6 = 6 - 2(2n+3)
n - 4 - 6 = 6 - 4n - 6
Combine like terms
n + 4 n = 4 + 6
5n = 10
n = 10/5 = 2
<u>∴ n = 2</u>
Answer:
152
Step-by-step explanation:
12+16=28 so 180 is the total and 180-28=<u>152</u>
<u />
Answer:
The correct option is A) 13 to 3.
Step-by-step explanation:
Consider the provided information.
The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24 each. Today, only 2 puppies and 8 kittens were left.
6-2 = 4 puppies sale
12-8 = 4 kittens sale
The cost of each puppies is $104.
Cost of 4 puppies:
4×$104=$416
The cost of each kittens is $24.
Cost of 4 kittens :
4×$24=$96
The ratio of sales of puppies to kittens is:
Hence, the ration of sales of puppies to kittens is 13/3.
Thus, the correct option is A) 13 to 3.
