Hi Lawrence!
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We Know:
Powersports Plus: $30 an hour plus a non-refundable deposit of $50.
Sun & Surf: $20 an hour plus a non-refundable deposit of $80.
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Equation:
x = per hour
y = total
Powersports: 30x + 50 = y
Sun and Surf: 20x + 80 = y
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Solution: (Add the deposit then start adding hourly costs)
Powersports: 80, 110, 140
Sun and Surf: 100, 120, 140
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Answer: After <u>3 hours</u> both companies will cost the same amount of money.
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Hope This Helps :)
James Fenimore Cooper used his words to connect Fine Arts and the Changes in American culture by writing about America's Westward expansion and the Indians in this first western novel.
<h3>
What did James Fenimore Cooper write in his first novels?</h3>
James Fenimore Cooper based his first western novels on themes relating to:
- the frontier
- White/Indian Conflicts
- America's Westward Expansion
- Romantic Ideas about the American West.
Hence the correct answer is A.
Learn more about James Fenimore Cooper at:
brainly.com/question/3886133
Answer: 46 years
Step-by-step explanation:
Let the father's age be x and the son's age be y, then 3 years ago:
Father = x - 3
son = y - 3
Then , from the first statement :
x - 3 = 3 ( y - 3 )
x - 3 = 3y - 9
x = 3y - 9 + 3
x = 3y - 6 .......................................... equation 1
In five years time
father = x + 5
son = y + 5
Then , from the second statement
x + 5 = 2 ( y + 5 )
x + 5 = 2y + 10
x = 2y + 10 - 5
x = 2y + 5 ........................ equation 2
Equating equation 1 and 2 , we have
3y -6 = 2y + 5
add 6 to both sides
3y = 2y + 5 + 6
subtract 2y from both sides
3y - 2y = 11
y = 11
substitute y = 11 into equation 1 to find the value of x
x = 3y - 6
x = 3(11) - 6
x = 33 - 6
x = 27
This means that the father is presently 27 years and the son is presently 11 years.
In four years time
father = 27 + 4 = 31
son = 11 + 4 = 15
sum of their ages in four years time will be
31 + 15 = 46 years
If you are using a calculator, simply enter 16÷72×100 which will give you 22.22 as the answer.
Answer:
D.
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be 
, and 
would be -5. The equation is written in slope-intercept form:
m is the slope, so find the equation with the opposite reciprocal of 3, 
:
is the only option with the correct slope, so the answer is D.
