name the property that is illustrated by the statement below: 2+(7+3)=(2+7)+3
commutative
identity
associative
distributive
associative
evaluate the expression 3b-ac when a=-2, b=3, and c=0.5
When a = -2, b = 3, and c = 0.5, we can substitute these values into the expression 3b - ac:
3b - ac = 3(3) - (-2)(0.5)
= 9 + 1
= 10
Therefore, when a = -2, b = 3, and c = 0.5, the value of the expression 3b - ac is 10.
evaluate the expression 5x^2+2y when x=-3 and y =0.25
When x = -3 and y = 0.25, we can substitute these values into the expression 5x^2 + 2y:
5x^2 + 2y = 5(-3)^2 + 2(0.25)
= 5(9) + 0.5
= 45 + 0.5
= 45.5
Therefore, when x = -3 and y = 0.25, the value of the expression 5x^2 + 2y is 45.5.
evaluate the expression 3mn/-2p when m=1/3, n=-3, and p=3
When m = 1/3, n = -3, and p = 3, we can substitute these values into the expression 3mn/-2p:
3mn/-2p = 3(1/3)(-3)/(-2)(3)
= 1(-3)/(-2)(3)
= -3/(-6)
= 1/2
Therefore, when m = 1/3, n = -3, and p = 3, the value of the expression 3mn/-2p is 1/2.
which expression is equivalent to: (3xy-2xz+yz)+(2xy-4xz-5yz
To simplify the given expression, we can combine like terms:
(3xy - 2xz + yz) + (2xy - 4xz - 5yz)
Combining like terms:
3xy + 2xy - 2xz - 4xz + yz - 5yz
Rearranging the terms:
(3xy + 2xy) + (-2xz - 4xz) + (yz - 5yz)
Simplifying further:
5xy - 6xz - 4yz
Therefore, the expression that is equivalent to (3xy - 2xz + yz) + (2xy - 4xz - 5yz) is 5xy - 6xz - 4yz.