(1)

Mathematics

1 answer:

balu736 [363]2 years ago

8 0

A) $1195 + 128(6 chairs)
= $1195 + 768
= $1963
B) 3756 - 1963 = 1793

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Answer:

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Step-by-step explanation:

We must use algebraic means to simplify the equation given. The procedure is presented below:

1) $\frac{a}{(a-b)\cdot (a-c)} + \frac{b}{(b-c)\dot (b-a) } + \frac{c}{(a-c)\cdot (b-c)}$ Given.

2) $\frac{a}{(a-b)\cdot (a-c)} + \frac{b}{-(a-b)\cdot (b-c)} + \frac{c}{(a-c)\cdot (b-c)}$ Commutative property/Distributive property/ $(-1)\cdot a = -a$ / $(-1)\cdot (-a) = a$

3) $\frac{a}{(a-b)\cdot (a-c)} + \frac{(-b)}{(a-b)\cdot (b-c)} + \frac{c}{(a-c)\cdot (b-c)}$ $-\frac{a}{b} = \frac{-a}{b} = \frac{a}{-b}$

4) $\frac{a\cdot (b-c)}{(a- b)\cdot (a-c)\cdot (b-c)} + \frac{(-b)\cdot (a-c)}{(a-b)\cdot (b-c)\cdot (a-c)} + \frac{c\cdot (a-b)}{(a-c)\cdot (b-c)\cdot (a-b)}$ Modulative property/Existence of aditive inverse/Definition of division

5) $\frac{a\cdot (a-c) + (-b)\cdot (a-c)+c\cdot (a-b)}{(a-b)\cdot (a-c)\cdot (b-c)}$ Distributive property/Definition of division

6) $\frac{a^{2}-a\cdot c -a\cdot b + b\cdot c+a\cdot c-b\cdot c}{(a-b)\cdot (a-c)\cdot (b-c)}$ Distributive and commutative properties/ $(-a) \cdot b = -a\cdot b$ / $(-a)\cdot (-b) = a\cdot b$ /Definition of power