Answer:
11.4 and/or 11 2/5
Step-by-step explanation:
You can turn 22 4/5 into a decimal which is 22.8 and divide that by 2 and it gets you 11.4. You can also turn 22 4/5 into an improper fraction which is 114/5. Multiply that by 1/2 which is 11 2/5.
I'm sure you know how to find the slope of a line if you know 2 points
on it ... The slope is ...
(difference in y-values) / (difference in x-values) .
Right ?
OK. Each line in these tables is a point on the graph of the table.
Pick two points from the table, and you can get the slope of the line
from them.
The first table (Plan-A) has these points in it:
1 . . . . . $20.15
2 . . . . . $20.30
3 . . . . . $20.45
4 . . . . . $20.60
You want to find the equation of the line with these 4 points on it.
That means you need to find the slope and the intercept of the line.
Take any two points straight from the table. I'll use the first two:
1 . . . . . $20.15
2 . . . . . $20.30
There you have two points on the line: (1, 20.15) and (2, 20.30) .
The slope is (difference in 'y') / (difference in 'x').
Difference in 'y' = (20.30 - 20.15) = 0.15
Difference in 'x' = (2 - 1) = 1
Slope of the line = (0.15) / 1 = <u>0.15</u>
(What that really means is 15 cents per minute on Plan-A.)
Now you know that the equation of the line is [ <u>y = 0.15x + intercept</u> ].
Can you think of a way to find the intercept ?
Remember ... every point in the table is on the line.
So why not just take one of these points in the table, put it into the part of the equation that you already have, and watch the intercept fall out ?
You could use any point at all from the table.
I'll use the 3rd one.
<u>y = 0.15x + intercept</u>
20.45 = 0.15(3) + intercept
20.45 = 0.45 + intercept
Subtract 0.45 from each side: <u>20.00 = intercept</u>
The equation of the graph for Plan-A is <em>Charge = 0.15(minutes) + $20.00</em>
===============================
Plan-B:
First two points:
Difference in y-values = (8.00 - 6.50) = 1.50
Difference in x-values = (10 - 5) = 5
Slope of the line = (1.50) / (5) = .30 (30 cents per minute)
Intercept = 5.00
Charge = 0.3(minutes) + $5.00
======================================
Plan-C:
Slope = 4.50 / 10 = 0.45
Intercept = zero
=================================
Plan-D:
Slope = (16.50 - 11.00) / (30 - 20) = 5.5/10 = 0.55
Intercept = zero
In each plan, the intercept is the cost just to sign up, before you use
the phone, and then the slope is the cost for each minute of talking on it.
I believe x and y in the equation show a direct variation
Direct variation is the relationship between variables such that increase in one variable causes an increase in the other variable and vicevarsa.
In this case, y is directly proportional to x where 5 is a constant
Answer: 
Step-by-step explanation:
You can use the following formula to calculate the surface area of the right rectangular prism:
Where "w" is the width, "l" is the length, and "h" is the height.
Knowing that this rigth rectangular prism has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.
Then, the surface of the right rectangular prism is:
![SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2](https://tex.z-dn.net/?f=SA%20%3D%202%5B%283cm%2A8cm%29%20%2B%20%288cm%2A5cm%29%20%2B%20%285cm%2A3cm%29%5D%5C%5C%5C%5CSA%3D158cm%5E2)
Answer:
−1 ≤ n + 7 < 9
To solve a compound inequality separate it into two inequalities
That is
n + 7 ≥ - 1 and
n + 7 < 9
Solve the inequality
n + 7 ≥ -1
n ≥ - 8
and
n + 7 < 9
n < 7 - 9
n < 2
Find the intersection
The final answer is
-8 ≤ n < 2
Hope this helps
