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3 years ago

The average summer temperature t in one region is less than 72 degrees Fahrenheit. Express t as an inequality.

Mathematics

1 answer:

OLga [1]3 years ago

3 0

T<72 degrees Fahrenheit. The crocodile always eats the bigger number.

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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

jolli1 [7]

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

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

<em>Hence, the constant of proportionality is </em> $1\frac{10}{11}$ <em></em>

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