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777dan777 [17]
3 years ago
5

Samuel has read 3/6 of his assignment.Judy has read 4/8 of her assignment.their assignments were the same size.which sentence is

true?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

There are apparently <u>three</u> true sentences here:

1). Samuel has read 3/6 of his assignment.
2). Judy has read 4/8 of her assignment.
3). Their assignments were the same size.

If we want to spend a few seconds thinking about it, we realize that
Samuel and Judy have both done the same amount of reading.


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Alright, so we can start by writing it out by their signs.
Using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) and noting that the inequality comes last, we can write it as the sum of (addition), then three times (multiplication) a number and 4 (ties in with the sum of, making it also addition).Note that we know that "a number and 4" means addition because it doesn't state to do anything with it, and we don't know what "the sum of" referred to with numbers, so they match up. Therefore, we have multiplication (3 times a number=3 * number), then addition (3 times a number, or 3 * number, added to 4, or 3*number+4), and we can do the inequality. Between -8 and 10 means that it is greater than -8 and less than 10, as 10 is the larger number, writing it out as -8< (less than) 3*number+4 < (3*number+4 is less than 10, so we have another less than sign) 10. Subtracting 4 from everything using the subtraction property of equality, we get -12<3*number<6. Next, we can divide everything by 3 to separate the number and get -4<number<2.

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