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s2008m [1.1K]
3 years ago
5

Find a number that when decreased by 15 is 4 times its opposite

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

The number three (3) when decreased by fifteen (15) is four (4) times its opposite.

In this exercise, you're required to solve for an unknown number by using a variable to represent the number in relation to the known variables (constants) and representing it as an algebraic expression.

  • Let the number be x.

Translating the word problem into an algebraic expression, we have;

x \; - 15 = -4x

Rearranging the algebraic expression by (collecting like terms), we have;

x \; + \;4x = 15\\\\5x = 15

Dividing both sides by 5, we have;

x = \frac{15}{5}

<em>x = 3</em>

<em>Therefore, number </em><em>three</em><em> </em><em>(3) </em><em>when </em><em>decreased</em><em> by </em><em>fifteen (15)</em><em> is </em><em>four (4) </em><em>times its </em><em>opposite.</em>

<em>Find more information: brainly.com/question/15605874</em>

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Step-by-step explanation:

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The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
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Answer:

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Step-by-step explanation:

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Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

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The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

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x° =  - 3.5

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Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

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3 years ago
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Answer:

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Step-by-step explanation:

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