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ollegr [7]
3 years ago
7

A machine uses pieces of tape to seal packages. it cuts the tape into pieces exactly 2.375 inches long. if it uses 4 pieces of t

ape for a package, how many packages can it seal with a roll of tape 1,900 inches long?
A. 600 packages
B. 800 packages
C. 400 packages
D. 200 packages
Mathematics
2 answers:
IrinaVladis [17]3 years ago
7 0

Answer: 200 packages since 9.5 inches is used for a packages for 1900 will be 1900/9.5



ohaa [14]3 years ago
7 0

to seal a package  4* 2.375 = 9.5 inches of tape

1900/9.5 = 200 so we can seal 200 packages

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Answer:

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Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

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We write the first equation in terms of q by subtracting it across the equal sign to get d=60-q. We now substitute this for d in the second equation.

0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25

After simplifying, we subtract 6 across and divide by the coefficient of q.

6+0.15q=11.25\\0.15q=5.25\\q=35

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

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