Answer:
- x(27 +24) or 3x(9 +8)
- 0.5(n +5) or 2.5(n/5 +1)
Step-by-step explanation:
The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.
a(b +c) = ab +ac . . . . expression of the distributive property
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When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.
Below, we have written each expression using two different common factors.
<h3>a)</h3>
27x +24x = x(27 +24) = 3x(9 +8)
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<h3>b)</h3>
0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)
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<em>Additional comment</em>
Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.
The Euclidean Algorithm can also be useful for finding common factors.
Let's solve the next equation:
We need to find the value for c, this value is correct when we replaced it with a number and the equality equation becomes true.
First, subtract both sides by 6
Now, subtract both sides by 8
Replacing the c value to verify:
The c value is correct.
The coefficient of the expression is 0.25, and it represents the late fee for every day the book was overdue
$12.38 i belive
hope this helps :)
Answer:
B.24
Step-by-step explanation:
we know,
exterior angle = 360°/n(where 'n' is number of sides)
then,
15° = 360°/n
n = 360°/15°
n = 24
