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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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Zachary bought 8.25 pounds of red, white, and blue candies for his Fourth of July party. If 2.5 pounds of the candies are red, a
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2 pounds

Step-by-step explanation:

pounds of white candy: 8.25 - (2.5 + 3.75) = 8.25 - 6.25 = 2

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3 years ago
A rhombus has diagonals of 10cm and 6cm. Find the angles of the rhombus and its area.​
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2 years ago
Smallest to largest. Here are four decimal numbers: 0.9, 0.5, 0.8, 0.1
Pani-rosa [81]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
An instructor wants to write a test with 25 questions where each question is worth 3, 4, or 5 points based on difficulty. He wan
irakobra [83]

ANSWER

Find out the how many 3, 4, and 5 point questions could there be.

To proof

Let us assume that the 3 points based question be = x

Let us assume that the 4 points based question be = y

Let us assume that the 5 points based question be = z

As given

An instructor wants to write a test with 25 questions

than the equation become in the form

x + y + z = 25

he quiz to be worth a total of 100 points.

than the equation is becomes

3x + 4y + 5z =100

As given

He wants the number of 3-point questions to be 4 less than the number of 4-point questions

x = y -4

Than the three equation are

x + y + z = 25 ,3x + 4y + 5z =100 and x = y -4

put  x = y -4 in the x + y + z = 25 ,3x + 4y + 5z =100

than

2y + z = 29, 7y +5z= 112

multiply 2y + z = 29 by 5 and subtracted 7y +5z= 112

10 y -7y + 5y -5y = 145 -112

3y = 33

y = \frac{33}{3}

y =11

put in the  x = y -4

x = 11-4

x= 7

put the value of x ,y in the x + y + z = 25

7 + 11 +z =25

18 +z = 25

z = 25 -18

z=7

therefore

numbers of the 3 point question be = 7

numbers of the 4 point question be = 11

numbers of the 5 point question be = 7

Hence proved



3 0
3 years ago
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