<span>With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.</span>
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Answer:
x=-7
Step-by-step explanation:
Simplifying
3(x + -2) = 5x + 8
Reorder the terms:
3(-2 + x) = 5x + 8
(-2 * 3 + x * 3) = 5x + 8
(-6 + 3x) = 5x + 8
Reorder the terms:
-6 + 3x = 8 + 5x
Solving
-6 + 3x = 8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-6 + 3x + -5x = 8 + 5x + -5x
Combine like terms: 3x + -5x = -2x
-6 + -2x = 8 + 5x + -5x
Combine like terms: 5x + -5x = 0
-6 + -2x = 8 + 0
-6 + -2x = 8
Add '6' to each side of the equation.
-6 + 6 + -2x = 8 + 6
Combine like terms: -6 + 6 = 0
0 + -2x = 8 + 6
-2x = 8 + 6
Combine like terms: 8 + 6 = 14
-2x = 14
Divide each side by '-2'.
x = -7
Simplifying
x = -7
Answer:
0.975 pasta pounds per minutes
Step-by-step explanation:
8 (X amount of pasta) = 7.8 Pounds
x= 7.8/8
x = 0.975
Answer:
Step-by-step explanation:
The sum of the interior angles of an n gon is found by using the following formula.
(n-2)*180 = sum of the interior angles.
(n - 2) * 180 = 3960 Divide by 180
(n - 2) 180/180 = 3960/180 Show the division
n - 2 = 22 Add 2 to both sides.
n -2+2=22+2 Combine
n = 24
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To find the size of each angle, use
(n - 2)*180/n
(24 - 2)*180/24
22 * 180/24
3960/24 = 165
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another way
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You already know there are 24 sides. You are given the sum of the interior angles as 3960
All you really need to do is 3960/24 = 165