Well there is 24 hours in a day so 24 - 15 = 9. So he spends 9 hours awake.
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 line segment ✓....,.........
Step-by-step explanation:
is there any pic I need to see
5(x-2)+7=65-4(5x-8)
We move all terms to the left:
5(x-2)+7-(65-4(5x-8))=0
We multiply parentheses
5x-(65-4(5x-8))-10+7=0
We calculate terms in parentheses: -(65-4(5x-8)), so:
65-4(5x-8)
determiningTheFunctionDomain
-4(5x-8)+65
We multiply parentheses
-20x+32+65
We add all the numbers together, and all the variables
-20x+97
Back to the equation:
-(-20x+97)
We add all the numbers together, and all the variables
5x-(-20x+97)-3=0
We get rid of parentheses
5x+20x-97-3=0
We add all the numbers together, and all the variables
25x-100=0
We move all terms containing x to the left, all other terms to the right
25x=100
x=100/25
x=4
