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Xelga [282]
3 years ago
8

In kick boxing, the force needed to break a board varies inversely with the length of the board.If it takes 5 pounds of pressure

to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 8feet long?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

By taking k as constant:

P = k/L (where P is pressure, and L is length)

5 = k/2

k = 10

Therefore:

P = 10 / L

P = 10/ 8

P = 1.25 Pounds.

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3 0
4 years ago
Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al
wel
Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6               ---------------------------- (1)
5x + 2y = 18         ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6 
x = 6 - y 

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs 

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------
5 0
3 years ago
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