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Anastaziya [24]
3 years ago
9

Suzy is using a bucket to collect nuts from a nut tree. She then dumps the bucket into a barrel for shipping of the nuts. She no

tices that 1 over 2 the bucket of nuts fills 2 over 3 of the barrel.
Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)
Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

9514 1404 393

Answer:

  a) b = (1/2)/(2/3); b = 3/4

  b) it takes 3/4 bucket to fill a barrel

Step-by-step explanation:

a) Apparently, the number of buckets and the number of barrels is proportional, so we can write an equation for b, the number of buckets to fill a barrel, as ...

  buckets/barrels = b/1 = (1/2)/(2/3) . . . . the equation

Of course, b/1 = b, so we simply need to simplify the compound fraction to find the solution.

  b = (3/6)/(4/6)

  b = 3/4 . . . . the solution to the equation

__

b) The solution to the equation is the answer to the question. It takes 3/4 bucket of nuts to fill the barrel.

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What is the solution of the system? Use the elimination method. 2x+y=206x−5y=12 Enter your answer in the boxes.
astraxan [27]

Answer:

The answer to your question is:   x = 7; y = 6

Step-by-step explanation:

                                             2x+y=20             ( 1 )  Multiply by 5

                                             6x−5y=12            ( 2 )

                               5 (2x+y=20)    = 10x + 5y = 100

                                          10x + 5y = 100

                                            6x − 5y =   12             Eliminate y

                                          16 x        = 112

                                           x = 112 / 16

                                           x = 7

                                 2(7) + y = 20                 Substitution

                                 14 + y = 20

                                 y = 20 - 14

                                 y = 6

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