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Pepsi [2]
3 years ago
10

If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must th

e long piece be?
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0
24 feet long :)
All I did was I divided the 36 into 3 equal parts of 12, then doubled the 12 to make that longer piece 24 feet. This 24 foot piece would be twice as long as the other leftover 12 foot piece since 12x2=24
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Solve the System of Equations
soldi70 [24.7K]

Answer:

Equations: x+y=80\,,\,2x+4y=216\,\,

number of chickens = 52

number of goats = 28

Step-by-step explanation:

Given: A small ranch has chickens and goats

Total number of heads = 80

Total number of legs = 216

To find: number of chickens and goats

To draw: the graph

Solution:

Let x denotes number of chickens and y denotes number of goats.

According to the question,

x+y=80\,\,(i)\\2x+4y=216\,\,(ii)

From (i), put x=80-y in (ii)

2(80-y)+4y=216\\160-2y+4y=216\\2y=216-180\\2y=56\\y=\frac{56}{2}=28

Put y=28 in equation (i)

x+28=80\\x=80-28=52

So,

number of chickens = 52

number of goats = 28

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