The answer is 22.6 so the quotient would be between 22.0 and 23.0, hope this helps.
By algebra properties we find the following relationships between each pair of algebraic expressions:
- First equation: Case 4
- Second equation: Case 1
- Third equation: Case 2
- Fourth equation: Case 5
- Fifth equation: Case 3
<h3>How to determine pairs of equivalent equations</h3>
In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:
First equation
(7 - 2 · x) + (3 · x - 11)
(7 - 11) + (- 2 · x + 3 · x)
- 4 + (- 2 + 3) · x
- 4 + (1) · x
- 4 + (5 - 4) · x
- 4 - 4 · x + 5 · x
- 4 · (x + 1) + 5 · x → Case 4
Second equation
- 7 + 6 · x - 4 · x + 3
(6 · x - 4 · x) + (- 7 + 3)
(6 - 4) · x - 4
2 · x - 4
2 · (x - 2) → Case 1
Third equation
9 · x - 2 · (3 · x - 3)
9 · x - 6 · x + 6
3 · x + 6
(2 + 1) · x + (14 - 8)
[1 - (- 2)] · x + (14 - 8)
(x + 14) - (8 - 2 · x) → Case 2
Fourth equation
- 3 · x + 6 + 4 · x
x + 6
(5 - 4) · x + (7 - 1)
(7 + 5 · x) + (- 4 · x - 1) → Case 5
Fifth equation
- 2 · x + 9 + 5 · x + 6
3 · x + 15
3 · (x + 5) → Case 3
To learn more on algebraic equations: brainly.com/question/24875240
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Answer:
64
Step-by-step explanation: In order to find the amount of action figures needed to complete your collection, you divide 48 by 75%. This gives us 64. The reason we divide, is because of inverse operations. If we are going to find 75% of 48, you would multiply 48 by .75. Since this is the opposite, we must divide it.
Also, I'm not quite sure what the question is requesting by asking for what 2 represents. What is the specific skill you are learning in class? Maybe that'll help us figure it out.
I hope this makes since. Let me know if you need further explanation.
Answer:
y = -4
Explanation:
The initial expression is:
-13 = 4y + 3
So, we need to substract 3 from both sides of the equation:
-13 - 3 = 4y + 3 - 3
-16 = 4y
Then, dividing both sides by 4, we get:
-16/4 = 4y/4
-4 = y
Therefore, the solution of the system is y = - 4.
Let the third side = x.
The sum of any two sides must be greater than the third side
14 + 9 > x
23 > x
14 + x > 9
x > -5
9 + x > 14
x > 5
So 5 < x < 23
