Mathematics, 17.07.2019 09:20, corbino710

Which mathematical property is shown by each statement? 1) if 43=y, then y=432) (4y9)7=4y(97)a. symmetric propertyb. transitive propertyc. associative property of additiond. reflexive property 3) which statement is true for the set of natural numbers? a. the set is closed under addition and closed subtraction b. the set is closed under subtraction and not closed under additionc. the set is not closed under addition and closed under subtraction d. the set is not closed under addition or subtraction

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Part 1:

The Symmetric Property of Equality states that if a = b then b = a.

Given that if 43 = y, then y = 43, the mathematical property shown by the statement is the symmetric property.

Part 2:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

The associative property of multiplication states that a * (b * c) = (a * b) * c.

Thus, given that (4y * 9) * 7 = 4y * (9 * 7), the mathematical property shown by the statement is the associative property of multiplication.

Part 3:

The set of natural numbers is the set of integers starting from 1, 2, . . .

Notice that the addition of any two natural numbers always gives you a natural number while the subtraction of two natural numbers does not always result in a natural number.

i.e. consider the natural numbers 5 and 6, 5 - 6 = -1 and -1 is not a natural number.

Therefore, the true statement about the set of natural numbers is "the set is closed under addition and not closed under subtraction".

answered: Guest

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

answered: Guest

i would be happy to . most people on would also love to i'm sure. if you just want someone who has done algebra before and want a little more personal relationship than just begging strangers for , i can certainly be of service. i do have college myself so i might not be 24/7.