Answer :
(1) 
(2) 
(3) 
(4) 
(5) 
(6) 
Step-by-step explanation :
(1) The given expression is: 

(2) The given expression is: 

(3) The given expression is: 

(4) The given expression is: 

(5) The given expression is: 

(6) The given expression is: 

Answer:
2.) 48 Inches
Step-by-step explanation:
Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -
49 + 47 + 46 + 45 + 53 = 240
240 ÷ 5 = 48 in
have a good day! :)
Subtract 24 from both sides.
z + 24 = 10
- 24 -24
z = -14
Answer:
See below
Step-by-step explanation:
I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)
Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=
and 11/4=
. Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

Therefore, our point that partitions CD into a 3:1 ratio is (
).
I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.
Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.
Answer: [911,∞)
Step-by-step explanation:
Given: S be the number of cans collected by Shane.
Since, Abha collected 178 more cans than Shane did.
Then, the number of cans collected by Abha = S+178
Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.
So, 

Hence, the solution set of the inequality will be [911,∞)