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Evgesh-ka [11]
2 years ago
15

Cindy multiple her age by 5, subtracted 12, and then divide by 3. The result was 16. How old is Cindy?

Mathematics
1 answer:
sergejj [24]2 years ago
8 0

Let's give Cindy's age a variable.

Cindy's age = x

Cindy multiplies her age by 5

x(5)

Subtracted by 12

x(5) - 12

Divide by 3

(5x - 12)/3

The result was 16

(5x - 12)/3 = 16

Let's solve

Multiply both sides by 3

(5x - 12) = 48

Open brackets

5x - 12 = 48

Add 12 to both sides

5x = 60

Divide by 5 on both sides to isolate x

x = 12

Cindy is 12 years old.

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Which equation has the solutions x = startfraction 5 plus-or-minus 2 startroot 7 endroot over 3 endfraction?
Shtirlitz [24]

The equation that has the solution x = \frac{5 \pm \sqrt{7}}{3} is 3x^2 - 10x + 6 = 0

<h3>How to determine the equation?</h3>

The solution is given as:

x = \frac{5 \pm \sqrt{7}}{3}

The solution to a quadratic equation is

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

By comparing both equations, we have:

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c = 3

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ax^2 + bx + c = 0

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1.5x^2 - 5x +3 = 0

Multiply through by 2

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