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valentina_108 [34]
3 years ago
13

A store sells candles. Each candle costs the same amount. During a sale, the store reduces the price of each candle by $1.70. Ow

en spends $11.96
on 4 candles at the sale price.
What was the price of 1 candle before the sale?
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Answer:

2.99

Step-by-step explanation:

Tanya [424]3 years ago
4 0

Answer: ||||||  2.99     --      explained

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

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Then, we have to subtract this number from x^2, so we have

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The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

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Step-by-step explanation:

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Let the distance from the engineer to the base of the building be x, then
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Therefore the distance from the engineer to the base of the building to the nearest foot = 1,114 feet
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3 years ago
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