Answer:
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Step-by-step explanation:
Given that:
Selling price of bicycle = $176
Selling price of helmet = $16
Total price = 176+16 = $192
This is 160% of what Stefan paid originally.
Let,
x be the original amount paid by Stefan.
160% of x = 192

Dividing both sides by 1.6

Original amount paid by Stefan = $120
Profit = 192 - 120 = $72
Hence
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Answer:
x = 11
y = 2
n = 4
Step-by-step explanation:
Three equations
Look for x
Look for y
Look for n
__________________
Note that all of these are questions can be answered through isolating the variable.
Let's start with x :
Get x alone :
2(x + 5) = 3x + 1
Distribute :
(2(x) + 2(5))
2x + 10 = 3x - 1
Add 1 to both sides of the equation :
2x + 11 = 3x
Subtract 2x from both sides :
11 = x
x = 11
Next is y :
Isolate y :
3y - 4 = 6 - 2y
Add 4 to both sides :
3y = 10 - 2y
Add 2y to both sides :
5y = 10
Divide 5 from both sides to get y by itself :
y = 2
Lastly is n :
Isolate n :
3(n + 2) = 9(6 - n)
Distribute :
(3(n) + 3(2)) = (9(6) - 9(n))
3n + 6 = 54 - 9n
Subtract 54 from both sides :
3n - 48 = -9n
Subtract 3n from both sides :
-48 = -12n
-12n = -48
Divide -12 from both sides :
n = 4
Answer:
C
Step-by-step explanation:
Using Pythagoras theorem, we know that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle
<h3>How to use Pythagoras theorem to prove a right triangle?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
Therefore,
c²= a²+ b²
where
- c = hypotenuse side
- a and b are the other legs.
Therefore,
3² + 4² = 5²
Hence,
Knowing that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle
learn more on Pythagoras's theorem here: brainly.com/question/20462170
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