please check my answer thank you

Write the phrase “the quotient of 3 more than a number, and 3 less than that same number. “
(x+3/(x-3)

. It is estimated that the Earth is losing 4000 species of plants and animals every year. If S represents the number of species living last year, how many species are on Earth this year?
S - 4000 = The number of species on earth
A=S-4000

The kinetic energy of a particle of mass m is found by taking one-half of the product of the mass (m) and the square of the velocity (v). Write an expression for the kinetic energy of a particle.

K=1/2(m*v^2)

Identify the property that is used. 5+(6+7)=5+(7+6)=
commutative

Identify the property that is used.4*(3+2)=(3+2)*4
associative

Ramon owes $780 on his VISA account. He returns three items costing $43.10, $36.80, and $125.00 and receives credit on his account . Next he makes a payment of $400.00. He then makes a purchase of $82.75. How much does Ramon still owe?

The answer is $257.85

125.00 + 43.10 + 36.80 = 204.90

$780.00 - $204.90 = 575.10

575.10 - 400 = 175.10
175.10 + 82.75 = 257.85

At 7 a.m. the temperature was -15 F. By 1 p.m., the temperature had increased by 18 F. What was the temperature at 1 p.m.? 15 F at 7 a.m , at 1 pm the temperature had increased by 18F
-15+18=3

Perform the indicated operation:9-(-2)(-7)=
the answer is
9-14=-5

Perform the indicated operation:-5^2-3=
-25+-3=28

Pretty good... except don't forget your labeling of the temperature problem. Also, check to make sure that the problem is indeed -5^2 - 3 and not (-5)^2 - 3 because you'll get different answers. (You've forgotten your negative on the 28, BTW.)

Both your properties are wrong. Study up on those. (Some info is below.)

Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends. For example 4 + 2 = 2 + 4

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (2 + 3) + 4 = 2 + (3 + 4)

Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3

Based on the explanations provided, here are the answers to check your responses:

1) Correct! The phrase "the quotient of 3 more than a number, and 3 less than that same number" is represented by (x+3)/(x-3).

2) Incorrect. The correct equation for the number of species on Earth this year would be S - 4000, where S represents the number of species living last year. Therefore, the correct answer is A = S - 4000.

3) Correct! The expression for the kinetic energy of a particle is K = (1/2) * (m * v^2).

4) Correct! The property used in the equation 5 + (6 + 7) = 5 + (7 + 6) is the commutative property of addition.

5) Correct! The property used in the equation 4 * (3 + 2) = (3 + 2) * 4 is the associative property of multiplication.

6) Incorrect. Your calculations are correct, but the final answer is $175.10, not $257.85. Here's the correct calculation:
$780.00 - $204.90 = $575.10
$575.10 - $400.00 = $175.10

7) Correct! The temperature at 1 p.m. would be 3°F after increasing by 18°F from -15°F.

8) Incorrect. The correct calculation for 9 - (-2)(-7) is:
9 - (-14) = 9 + 14 = 23

9) Incorrect. The correct calculation for -5^2 - 3 is:
-5^2 - 3 = -25 - 3 = -28

It seems that there are a few errors in your answers, but now you can review and correct them based on the explanations given.