The solution will be: 
<em><u>Explanation</u></em>
The given inequality is: 
First we will subtract 
from both sides. So.....
Now we will subtract 13 from both sides. So.....
Then we need to divide both sides by -3. As here we are <u>dividing the inequality by a negative number, so we need to switch the inequality symbol</u>. So, we will get.......
Thus, the solution will be:
Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
a. 37
b. 25
c. 226
Step-by-step explanation:
Place value has the same meaning in any other number base that it has in base 10. Using expanded form is one way to do the required base conversion.
a. 122₅ = 1×5² +2×5¹ +2×5⁰
= 25 +10 +2 = 37
__
b. 11001₂ = 1×2⁴ +1×2³ +0×2² +0×2¹ +1×2⁰
= 16 +8 + 1 = 25
__
c. 16T₁₂ = 1×12² +6×12¹ +10×12⁰
= 144 +72 +10 = 226
