<img src="https://tex.z-dn.net/?f=%20%20%204%20%5Ctimes%20%282%20-%206%29%20%3D%20" id="TexFormula1" title=" 4 \times (2

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3 years ago

= " alt=" 4 \times (2 - 6) = " align="absmiddle" class="latex-formula">
Guess what is the answer..With explanation#
Please answer my easy question

Mathematics

1 answer:

Brut [27]3 years ago

7 0

Answer:

-16

Step-by-step explanation:

You have to start by answering the parenthesis first then continue with the question

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The quantities xxx and yyy are proportional. xxx yyy 111111 1\dfrac{2}{9}1 9 2 1, start fraction, 2, divided by, 9, end fracti

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Question:

The quantities x and y are proportional.

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Find the constant of proportionality (r)

Answer:

$r = 1\frac{10}{11}$

Step-by-step explanation:

Given

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Required

Determine the constant of proportionality (r)

Constant of proportionality (r) is calculated as

$y = rx$

When

$y = 2\frac{1}{3}$ $x = 1\frac{2}{9}$

Substitute these values in the given formula

$2\frac{1}{3} = r * 1\frac{2}{9}$

Convert both fractions to improper fractions

$\frac{7}{3} = r * \frac{11}{9}$

Multiply both sides by $\frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r * \frac{11}{9} * \frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r$

Reorder

$r = \frac{7}{3} * \frac{9}{11}$

$r = \frac{7 * 9}{3 * 11}$

Divide the numerator and denominator by 3

$r = \frac{7 * 3}{11}$

$r = \frac{21}{11}$

Convert to mixed fraction

$r = 1\frac{10}{11}$

Hence, the constant of proportionality is $1\frac{10}{11}$

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