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Dmitry_Shevchenko [17]
4 years ago
9

A person can pay $14 for a membership to the history museum and then go to the museum for just $5 per visit. What is the maximum

number of visits a member of the history museum can make for a total cost of $44?
Mathematics
1 answer:
umka2103 [35]4 years ago
8 0
Hi there!
First we subtract 44-14 leaving us with 30. 5x6 = 30
Therefore, a member can visit a history museum 6 times to equal a total cost of $44.
In a different situation:
If the person has already paid the $14, and that doesn’t count as a visit, then a person would have to visit a museum 8 times to get a total of $45. Considering this is a real-world problem.
I hope this helps and have a good day :) !
~Angel
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The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}

After calculating:

\rm x = \dfrac{-4 \pm\sqrt{40}}{2}

\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

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$15 coupon = $15 / $5 = 3times of $5 coupons

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Step-by-step explanation:

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Answer:

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Solve each system by the addition method.
bagirrra123 [75]

Answer:

(x, y) = (2, -1.5)

Step-by-step explanation:

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