Answer:
Step-by-step explanation:
Simplifying
-3a + 8 = 2z + -12
Reorder the terms:
8 + -3a = 2z + -12
Reorder the terms:
8 + -3a = -12 + 2z
Solving
8 + -3a = -12 + 2z
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -3a = -12 + -8 + 2z
Combine like terms: 8 + -8 = 0
0 + -3a = -12 + -8 + 2z
-3a = -12 + -8 + 2z
Combine like terms: -12 + -8 = -20
-3a = -20 + 2z
Divide each side by '-3'.
a = 6.666666667 + -0.6666666667z
Simplifying
a = 6.666666667 + -0.6666666667z
By definition, we have to:
In mathematics, the commutative property or commutativity is a fundamental property that has some operations according to which the result of operating two elements does not depend on the order in which they are taken.
This is fulfilled in ordinary addition and multiplication: the order of the addends does not alter the sum, or the order of the factors does not alter the product.
We have then, that the commutative property of the addition is:
3 + (-7) = (-7) + 3
Answer:
An expression that illustrates the commutative property of addition is:
3 + (-7) = (-7) + 3
There are 264 male students in the high school containing 600 students.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
There are 600 students altogether, hence:
Number of freshmen = (1/5) * 600 = 120
Number of other graders = 600 - 120 = 480
Number of male freshmen = 120 - (0.4 * 120) = 72
Number of male other graders = (1 - 3/5) * 480 = 192
Total number of male = 72 + 192 = 264
There are 264 male students in the high school containing 600 students.
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