Answer:
x = 4
Step-by-step explanation:
Simplifying
3x + 15 = 6x + 3
Reorder the terms:
15 + 3x = 6x + 3
Reorder the terms:
15 + 3x = 3 + 6x
Solving
15 + 3x = 3 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
15 + 3x + -6x = 3 + 6x + -6x
Combine like terms: 3x + -6x = -3x
15 + -3x = 3 + 6x + -6x
Combine like terms: 6x + -6x = 0
15 + -3x = 3 + 0
15 + -3x = 3
Add '-15' to each side of the equation.
15 + -15 + -3x = 3 + -15
Combine like terms: 15 + -15 = 0
0 + -3x = 3 + -15
-3x = 3 + -15
Combine like terms: 3 + -15 = -12
-3x = -12
Divide each side by '-3'.
x = 4
Simplifying
x = 4
<span>Easiest way is to flip the divisor and multply.
4/9 divided by 1/3
is the same as 4/9 times 3/1
Should be pretty easy to go the rest of the way yourself.</span>
For the sum we have the following properties:
The properties are commutative, asosiative, distributive and neutral element.
Commutative property: When two numbers are added, the result is the same regardless of the order of the addends.
Associative property: When three or more numbers are added, the result is the same regardless of the order in which the addends are added.
Neutral element: The sum of any number and zero is equal to the original number.
Distributive property: The sum of two numbers multiplied by a third number is equal to the sum of each summand multiplied by the third number.<span><span>
</span><span>For subtraction we have:
</span><span> The arithmetic operation of the subtraction (subtraction) is indicated by the minus sign (-) and is the opposite, or inverse, operation of the addition. </span><span>That is, it is an arithmetic operation that serves to find the difference between two numbers.
</span><span>
In subtraction A - B = D
</span><span>A is the minuendo
</span><span>B is the substraendo
</span><span>D is the difference
</span><span>Answer:
</span><span>The properties of addition and subtraction serve to rewrite and simplify calculations.</span></span>
Let x = the next score
If (81 + 89 + 90 + 83 + 77 + x) ÷ 6 = 82
⇒ 420 + x = (82 × 6)
⇒ x = 492 - 420
x = 72
Thus to get an 82 average he need to get 72 on his next test.