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vladimir2022 [97]
3 years ago
8

Chase plans to repaint some classroom bookcases. He has 1 4/7 ​ gallons of paint. All of the bookcases are the same size and eac

h requires 1/3 ​ gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0
The custodian will be able to repaint 4 6/7 bookcases with 1 4/7 gallons of paint because you have to divide the fractions 1 4/7 and 1/3. 1 4/7 divided by 1/3. You’d turn 1 4/7 into a mixed fraction, change the division sign to a multiplication sign, and flip 1/3. Now the equation is 11/7 • 3/1. Multiply 11 and 3 which equals 33 then multiply 7 and 1 which equals 7. The fraction you get should be 33/7 and then you simplify it and it becomes 4 6/7 which is the answer.
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Step-by-step explanation:

Consider the function f(x)=x^3+3x^2-51x+91

Use synthetic division to divide by x+9

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divide the given f(x) by -9 using synthetic division

-9               1           3       -51       91

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         --------------------------------------------------

                  1           -6      3         64

The remainder is 64

                 

         

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