we have
y > -2
x + y < 4
using a graph tool
see the attached figure
The shaded area is the solution of the system
<u>Part 1) </u>Name an ordered pair that is a solution to this system and explain how you know that this is a solution point
Let
A ( -40,20)
The point A is solution of the system because the point lie on the shaded area
<u>Check</u>
If the point A is solution of the system must satisfy both system inequalities
point A
x=-40
y=20
substitute
y > -2-------> 20 > -2-------> is ok
x + y < 4----> -40+20 < 4-----> -20 < 4-----> is ok
therefore
<u>the answer Part 1) is</u>
The point A is a solution of the system
Part 2) Name an ordered pair that is not a solution to the system and explain how you know that it is not a solution
Let
B(20,20)
The point B is not solution of the system because the point not lie on the shaded area
<u>Check</u>
If the point B is not solution of the system must not satisfy both system inequalities
point B
x=20
y=20
substitute
y > -2 -------> 20 > -2-------> is ok
x + y < 4---->20+20 < 4-----> 40 < 4------> is not ok
therefore
<u>the answer part 2) is</u>
The point B is not a solution to the system
From the information given;
1 bag of concrete = 1000 in^3
2 bags at home = 1000*2 = 2000 in^3
The available space has a volume of;
Volume = (5*12)*10*10 (Note: 1 ft = 12 inches)
Volume = 60*10*10 = 6000 in^3
The remaining volume = Available space - occupied space = 6000 - 2000 = 4000 in^2
1 bag = 1000 in^3
x bags = 4000 in^2
Then,
x = 1*4000/1000 = 4 bags.
This means 4 more bags of concrete will be required to fully fill the space.
Answer:
<h2><u><em>
x = 18 °</em></u></h2>
Step-by-step explanation:
you have a rotation angle of 360 °, take out the known values (360 ° -90 ° -144 ° = 126), 144 ° is part of a flat angle of 180 °, from 180 ° remove 144 and you have 36 °, they are opposite angles therefore the same. therefore 360 - 144 - 90 - 36 - 36 = 54.
54 is 3x, so x = 18 ° (54 : 3 = 18)
Answer: 
or 
Step-by-step explanation:
Given the following expression:
You can follow these steps in order to simplify it:
1. You need to apply Distributive property:
2. And now you must add the like terms. Then:
Therefore you get the following answer:
or
Answer:
Result = 0.0045
Step-by-step explanation:
Given
Required
Determine the result
Following Charlie's steps:
0.09 is a 2 decimal placed digit
and
0.05 is a 2 decimal placed digit
So, the product is as follows:
9 --------- 2 decimal place
5 --------- 2 decimal place
------------------------------------------
45 --------- 4 decimal place
Shifting the decimals in 45 to 4 decimal places will give us: 0.0045
<em>Hence, the final answer is 0.0045</em>
