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2 years ago

9

Martinez' General Store is having a 45% off sale on men's clothing. John paid $70.95 for a jacket that was on sale. What was the

original price of the jacket?

1 answer:

Butoxors [25]2 years ago

8 0

Answer:

$129

Step-by-step explanation:

We can use this equation:

x - 0.45x = 70.95

0.55x = 70.95

x = $129

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Solve the equation x+3/x-4 = x-5/x+4

Serga [27]

Answer:

$\large\boxed{x=\dfrac{1}{2}}$

Step-by-step explanation:

$\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\\\\\text{Domain:}\ x-4\neq0\ \wedge\ x+4\neq0\\\\x\neq4\ \wedge\ x\neq-4\\\\D:x\in\mathbb{R}-\{-4,\ 4\}$

$\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\qquad\text{cross multiply}\\\\(x+3)(x+4)=(x-4)(x-5)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x)(x)+(x)(4)+(3)(x)+(3)(4)=(x)(x)+(x)(-5)+(-4)(x)+(-4)(-5)\\\\x^2+4x+3x+12=x^2-5x-4x+20\qquad\text{combine like terms}\\\\x^2+(4x+3x)+12=x^2+(-5x-4x)+20\\\\x^2+7x+12=x^2-9x+20\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\7x+12=-9x+20\qquad\text{subtract 12 from both sides}\\\\7x=-9x+8\qquad\text{add}\ 9x\ \text{to both sides}\\\\16x=8\qquad\text{divide both sides by 16}\\\\x=\dfrac{8}{16}\\\\x=\dfrac{8:8}{16:8}\\\\x=\dfrac{1}{2}\in D$

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pychu [463]

Answer:

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Step-by-step explanation:

Option C - $\frac{48}{70}$ is incorrect because when multiplying the numerator and denominator of the fraction $\frac{7}{10}$ by 7, you’re suppose to get $\frac{49}{70}$ .

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Answer:

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Step-by-step explanation:

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defon

Answer:

(34 / 2) * 3 = 51 nautical miles

Step-by-step explanation:

(34/2) => Finds miles per hour

* 3 => Finds total miles traveled in 3 hours

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Answer:

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Step-by-step explanation:

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