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2 years ago

If average of 3 quantities is 15 , sum of quantities is....?

Mathematics

1 answer:

Verizon [17]2 years ago

8 0

Answer:

Step-by-step explanation:

Let the three quantities be x, y and z.

$\because \: average = \frac{sum \: of \: quantities}{no \: of \: quantities} \\ \\ \therefore \: 15 = \frac{x + y + z}{3} \\ \\ 15 \times 3 = x + y + z \\ \\ \huge \purple{ 45 = x + y + z}$

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3 years ago

is (-1/2 x + 6/7) - (7/2 x - 4/7) equivalent to -4 x + 2/7 ? use the properties of operations to justify your answer

LuckyWell [14K]

Answer:

The given equation is NOT justified.

Step-by-step explanation:

Here, the given equation is $(\frac{-1}{2}x + \frac{6}{7} ) - (\frac{7}{2}x - \frac{4}{7} )$ = $-4x + \frac{2}{7}$

Now, here Consider the left hand side and simplifying the left side by operating on the like terms,

⇒ $(\frac{-1}{2}x + \frac{6}{7} ) - (\frac{7}{2}x - \frac{4}{7} )$ = $\frac{-1}{2}x + \frac{6}{7} - \frac{7}{2}x + \frac{4}{7} = (\frac{-1}{2}x -\frac{7}{2}x) + (\frac{6}{7} + \frac{4}{7})$

= $(\frac{-1 - 7}{2}x ) + (\frac{6 + 4}{7} ) = \frac{-8x}{2} + \frac{10}{7} \neq -4x + \frac{2}{7}$

Here, Left side of equation ≠ Right side of the equation

Hence, $(\frac{-1}{2}x + \frac{6}{7} ) - (\frac{7}{2}x - \frac{4}{7} )$ ≠ $-4x + \frac{2}{7}$

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