Answer:
12 ....10....11....13 THATS THE CORRECT ORDER
Step-by-step explanation:
The <em><u>correct answer</u></em> is:
22.5° F.
Explanation:
The temperature increases 1.5° per hour. From 5:00 AM to 12:00 PM is 12-5 = 7 hours. This makes an increase of 1.5(7) = 10.5°.
The temperature started at 12°F; increasing by 10.5° gives us
12+10.5 = 22.5°F.
Option C:
The solution of inequality 2x + y < 10 is (5, –3).
Solution:
Given inequality is 2x + y < 10.
Lets substitute the given points in the inequality and find the solution.
Option A: (6, –1)
2(6) + (–1) < 10
12 – 1 < 10
11 < 10
This is false because 11 > 10.
Therefore (6, –1) is not the solution of the inequality.
Option B: (1, 10)
2(1) + (10) < 10
2 + 10 < 10
12 < 10
This is false because 12 > 10.
Therefore (1, 10) is not the solution of the inequality.
Option C: (5, –3)
2(5) + (–3) < 10
10 – 3 < 10
7 < 10
This is true.
Therefore (5, –3) is the solution of the inequality.
Option D: (5, 5)
2(5) + (5) < 10
10 + 5 < 10
15 < 10
This is false because 15 > 10.
Therefore (5, 5) is not the solution of the inequality.
Hence Option C is the correct answer.
The solution of inequality 2x + y < 10 is (5, –3).
Answer:


Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>

<u>Subtract 2y from both sides:</u>


<u>Divide both sides by -2:</u>


<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>

→ let x=2+y

<u>Simplify:</u>

<u>Now, let's solve for y in 6+6y=-18</u>

<u>Subtract 6 from both sides:</u>


<u>Divide both sides by 6:</u>


<u>Now, substitute y=-4 into x=2+y:</u>

→ let y = -4


Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
Answer:
no solution
Step-by-step explanation:
5x - 8(x + 5) = 6 - 3x
Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.
First, distribute -8 to all terms within the parenthesis
-8(x + 5) = (-8)(x) + (-8)(5) = -8x - 40
5x - 8x - 40 = 6 - 3x
Isolate the variable (x). Add 3x & 40 to both sides
5x - 8x (+3x) - 40 (+40) = 6 (+40) - 3x (+3x)
5x - 8x + 3x = 6 + 40
Simplify. Combine like terms
(5x - 8x + 3x) = (6 + 40)
0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer
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