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 notices 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 number of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

3/4 bucket

Step-by-step explanation:

Given that:

1/2 bucket of nut fills 2/3 of barrel ;

Letbthe number of bucket if nut which fills entire barrel = x

Fraction of entire barrel = 1 /1 = 1

1/2 bucket = 2/3 barrel

x buckets = 1 barrel

Cross multiply ;

(2/3)x = 1/2

2x / 3 = 1/2

2x * 2 = 3 * 1

4x = 3

x = 3/4

Hence, 3/4 bucket of nut will fill entire barrel

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|